On solving the provided question we can say that any triangle's perimeter is the sum of its three sides' lengths = [tex]\x = 360/6 = > x = 60[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
Triangle's sides are x, 2x, and 3x Plus 2 ft. Respectively.
Radius is 362 feet.
Any triangle's perimeter is the sum of its three sides' lengths.
[tex]362 = x + 2 x + 3x +2\\6 x +2=362\\6 x= 362-2\\6 x=360\\x = 360/6\\x = 60[/tex]
Triangle's shortest side measures 60 feet.
Middle side = 2 x 2 x 60 ft = second side
Third side equals 3 x + 2 and is measured as 360+2=180+2=182 ft.
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Could you answer this for my son? NEED DONE!!!
Answer:
(a) (9 , 5)
(b) (-9 , -5)
Step-by-step explanation:
When you are reflecting over the y-axis, you are changing the sign of the x value.
When you are reflecting over the x-axis, you are changing the sign of the y value.
1) Reflect the point (-9 , 5) across the y-axis.
Based on the rule stated above, when you reflect over the y-axis, you are changing the x value sign:
(x , y) = (-9 , 5)
Reflected over the y-axis: (-9 , 5) becomes (9 , 5).
2) reflect the point (-9 , 5) across the x-axis.
Based on the rule stated above, when you reflect over the x-axis, you are changing the y-value sign:
(x , y) = (-9 , 5)
Reflected over the x-axis: (-9, 5) becomes (-9 , -5).
~
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Answer:
Reflected across the y-axis: (9, 5)
Reflected across the x-axis: (-9, -5)
Step-by-step explanation:
The mapping rule for a reflection across the y-axis is:
(x, y) → (-x, y)Therefore, point (-9, 5) reflected across the y-axis is (9, 5).
The mapping rule for a reflection across the x-axis is:
(x, y) → (x, -y)Therefore, point (-9, 5) reflected across the x-axis is (-9, -5).
Find the following functions. Simplify your answers.
Answer:
[tex]f(g(x)) = \boxed{\dfrac{x}{2}}[/tex]
[tex]g(f(x)) = \boxed{2x - 5}[/tex]
Step-by-step explanation:
We have the following two functions
[tex]f(x) = \dfrac{1}{x-5}\\\\g(x) = \dfrac{2}{x}+\:5[/tex]
To find [tex]f(g(x))[/tex] substitute the expression for [tex]g(x)[/tex] wherever you see an [tex]x[/tex] in [tex]f(x)[/tex]
[tex]\mathrm{For}\:f=\dfrac{1}{x-5}\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{2}{x}+5[/tex]
[tex]=\dfrac{1}{\dfrac{2}{x}+5-5}\\\\[/tex]
[tex]=\dfrac{1}{\dfrac{2}{x}}\\\\\\= \dfrac{x}{2}[/tex] ANSWER
To find [tex]g(f(x)[/tex], substitute the expression for [tex]f(x)[/tex] wherever you see an [tex]x[/tex] in [tex]g(x)[/tex]
[tex]\mathrm{For}\:g=\dfrac{2}{x}+5\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{1}{x-5}\\\\=\dfrac{2}{\dfrac{1}{x-5}}+5\\\\[/tex]
[tex]=2\left(x-5\right)+5\\\\= 2x - 10 + 5\\\\= 2x - 5\\\\[/tex]ANSWER
Note:
[tex]\dfrac{2}{\dfrac{1}{x-5}}=2\left(x-5\right)\\\\[/tex]
How are using graphs, equations, and tables similar when distinguishing between proportional and nonproportional linear relationships?Proportional relationships exist when there is a line through the ___ the Origin, the equation has a y-intercept that is equal to __ , and the table includes the coordinate (0,0).
Graphs, tables and equations that can be used to find the ratio and the ratio is not constant when the relationship is non-proportional explanation is given below
let us consider the , The graph of a linear equation is a line.
then , If b = 0 in a linear equation (so y = mx), then the equation is said to be proportional linear relationship between y and x.
If b ≠ 0, then y = mx + b is said to be non-proportional linear relationship between y and x.
If we are able to draw a straight line through all three points and the line that passes through the origin, (0, 0), in an ordered pairs which represents a proportional relationship. in which the Solution to the points on the graph that represent a proportional relationship. Such that the ordered pairs in the table represent a proportional relationship .Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin. As that of adjectives the difference between proportional and which is equal to that proportional is at a constant ratio (to) two magnitudes (numbers) are said to be proportional if the second graph varies in a direct relation arithmetically , the first while equal which is (label) the same as in all respects.
The Difference in the Proportional and linear functions are almost identical in their representation form. The only difference is the addition of the “b” as constant to the linear function. Indeed, which is a proportional relationship to a linear relationship where b = 0, or also said in an another way, in which the line passes through the origin (0, 0).
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7)
A shop sells two different sized picture frames, small and
large. One small picture frame and one large frame costs £65.
It costs £170 to buy two of the larger frames and four of the
smaller frames. What is the price difference between the two
different frame sizes?
The price difference between the two different frame sizes £25.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
let the price for small frame be x.
and, the price for large frame be y.
As, One small picture frame and one large frame costs £65.
It costs £170 to buy two of the larger frames and four of the smaller frames.
So, the system of equation are:
x+ y = 65..................(1)
4x+ 2y = 170
2x + y = 85.....................(2)
Solving equation (1) and (2) we get
2x + 65 -x = 85
x = 20
and, y = 65- 20 = 45
Hence, the difference if of £25.
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Last season there were 90 students on the Springfield High School varsity
soccer team, all freshmen, sophomores, juniors, and seniors. 28 students were seniors. What percent of the team were seniors?
The percentage of the 90 students on the Springfield High School varsity soccer team who are seniors is 31%.
What is the percentage?The percentage is a portion of a whole number or value.
Using percentages is a way of expressing values compared to others in relative terms.
The percentage refers to the ratio, which is obtained as the quotient of a numerator and a denominator, which is then multiplied by 100.
The total number of students on the Springfield High School varsity soccer team = 90
The makeup of the soccer team = freshmen, sophomores, juniors, and seniors
The number of seniors on the soccer team = 28
The percentage of seniors on the soccer team = 31.11% (28/90 x 100)
Thus, we can conclude that about 31 percent of the soccer team consists of seniors.
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Match each sum or difference with its simplified answer.
The match from the simplified answer are;
1. 3x³ + 2x + 10
2. 2x² - 4x + 7
3. 3x³ -6x² - 2x + 7
4. 7x³ + 6x² -4x + 7
What are algebraic expressions?Algebraic expressions are described as expression that is composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also composed of mathematical operations, such as;
AdditionSubtractionFloor divisionBracketDivisionParenthesesMultiplicationFrom the information given, we have that;
(3x³ + 10x² + 2x) - (10x² + 7x - 10)
expand the bracket
3x³ + 2x + 10
(7x² -12x + 4) - (5x² - 8x -3)
expand the bracket
2x² - 4x + 7
(5x³ - 3x + 7) - (2x³ + 6x² -x )
expand the bracket
3x³ -6x² - 2x + 7
(5x³ -3x + 7) +(2x³ +6x² - x)
expand the bracket
7x³ + 6x² -4x + 7
Hence, the expressions are 3x³ + 2x + 10, 2x² - 4x + 7, 3x³ -6x² - 2x + 7 and 7x³ + 6x² -4x + 7
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[tex]-\sqrt{16y^2}[/tex] if y<0
Answer:
4y
Step-by-step explanation:
You want the simplified form of -√(16y²) if y < 0.
Simplified radicalThe square root function returns the positive root, so this is ...
[tex]-\sqrt{16y^2}=-4|y|[/tex]
The absolute value changes the sign of its negative arguments, so this is ...
[tex]-4|y| = -4(-y) = \boxed{4y}\qquad\text{for $y < 0$}[/tex]
Use the drawing tools to form the correct answers on the provided dot plot.
Create a dot plot of the data on the average cruising speeds of Red Eagle's planes.
Dataset
0.78
0.86
0.83
Drawing Tools
Select
Point
0.83
0.79
0.83
0.85
0.85
0.85
0.78
0.81
0.84
0.84
0.80
0.82
0.82
0.82
0.81
0.84
0.83
0.84
0.83
0.86
0.85
0.85
0.81
0.88
0.80
0.82
0.82
0.80
0.82
0.87
0.84
0.84
0.86
So on solving the provided question we can say we can plotting data by x = 0.83; y = 0.79; z = 0.83
what is plotting data?The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables. Diagrams created by hand or on a computer are also acceptable. Move 2 units to the right after starting at the origin before going 3 units up. The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points. The pink dot with the letter P thus stands for 2.3. Before creating a line chart, you need first generate a number line for each value in your data collection. Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.
x = 0.83
y = 0.79
z = 0.83
xa = 0.85
ya = 0.85
za = 0.85
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Convert the following percent to a simplified fraction or mixed number: 8%
Answer: 8/100 or 2/25
Step-by-step explanation:
8% is automatically out of 100% so it would be
8/100
and the simplified version would be 2/25
Answer: 2/25
Step-by-step explanation:
2. During the entire school week (that is, five days), Gabriel continues to charge his account for lunch. What is his account balance at the end of the school week?
Answer: Since he is in school for 5 days a week, in a school week he will have a balance of 25.
Step-by-step explanation:
In certain areas the water is so scarce that every attempt is made to conserve it. For instance, on one oasis in the Sahara Desert, the amount of water necessary for each date palm is carefully determined. How much water is each tree given?
The water is given on alternate days.
According to the explanation given in the question, the Saharan islands make strong efforts to conserve their water resources. Part of these efforts includes not wasting water on plants that don't require it. Sometimes, we overwater plants, and the extra water simply evaporates into the atmosphere.
Palm trees, on the other hand, only require watering every other day, which is why they are only watered on alternate days. The precise amount of water provided to each tree in a real-world oasis would depend on a number of variables, including the age and health of the tree, the climate, and the availability of water. However, this is a hypothetical situation.
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Find the volume of this shape
Answer:
410cm^3
Step-by-step explanation:
The Volume of the upper rectangular prism is 10x3x8 which is 240
The volume of the middle prism is 6x5x3 which is 90
And the volume of the bottom prism is 8x2x5 which is 80
If you add them all up, the total volume is 410
Note(The volume of a rectangular prism is base x height x width)
The sum of the reciprocals of two consecutive even integers is 11/60. Find the integers.
Answer: one is 10 and one is 12. Holy why was this so hard shouldn't this be as SAT/ACT problem?
Step-by-step explanation: 1/X + 1/X+2 = 11/60. THEN DO ALGEBRA THAT TOOK ME FOREVER IT WAS SO HARD.
if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock? show how you found your answer.
The probability that the veterinarian will conclude that the h6n2 virus is not present in the flock is 0.988
Since there are only two possible outcomes for this problem—that the bird is infected or not—the probability of a binomial distribution is involved.
Let's now assume that in this case, x represents a random variable that represents the number of afflicted chickens.
P(false positive test)=0.05, suggests that.
False positive tests indicate that the bird is not infected but the veterinarian still reports that it is. P(false negative test)=0.10 where.
False negative results indicate that the bird is infected even though the veterinarian says it is not.
Then, P(bird tested false positive) = 1-0.05=0.95 and P(bird is not infected) = 1.
Similar to that, P(bird tested false negative) = 1 - P(bird tested positive) 1- 0.10=0.90
Now, according to the question, the flock is considered contaminated if at least three out of every ten chickens are infected.
Therefore, i, if the veterinarian does not declare the birds as infected, it merely signifies that less than 3 birds are infected.
P(vet declares uninfected) then equals P(x=0) + P(x=1) + P(x=2)
P= (0.05)⁰ (0.95¹⁰) + (0.05)¹ (0.95)⁹ +(0.05)² (0.95)⁸ = 0.988
This is calculated, and the result is 0.988.
your question is incomplete but most probably your full question was
suppose a veterinarian applies the procedure to a flock of 100,000 chickens at a commercial egg production farm. the elisa test is known to have probability 0.05 of producing a false positive result and probability 0.10 of producing a false negative result for a single chicken. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock? show how you found your answer.
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At what point do the curves r1(t) = t, 5 − t, 63 + t2 and r2(s) = 9 − s, s − 4, s2 intersect?(x, y, z) = ...Find their angle of intersection, 0, correct to the nearest degree.θ = ...
Therefore , the solution of the given problem of angles comes out to be
r1 (1) = r2.
What do you mean by an angle?An angle is a form in Euclidean geometry composed of two rays, called the hook's flanks, that converge at a point in the middle known as the vertex of the angle. In the plane that they are located, two ray may combine to make an angle. The collision of two planes also produces an angle. Dihedral angles are what we call them.
Here,
Make the pair of elements
r1 (t) = r2 (s) t = 7 - s
or
t + s = 7 equal to one another.
35 + t2 = s2, or 35 - t2 = 4, or s2 - t2 = 35
Step 2: Using the t value from equation 1, simplify equation 3.
35 + ( 7 - s ) ( 7 - s )
2 = s2 14s = 84 s = 6 and t = 1 are equivalent to.
Step 3: In formulas (1), (2), and, substitute these values of "t" and "s"
(3).
r1 (1) = r2
(6) = (1, 3, 36) (1, 3, 36)
Therefore , the solution of the given problem of angle comes out to be
r1 (1) = r2.
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Hello, I need the answers kind of fast can someone please help me<3
Question: Find the value of x.
Answer:
Step-by-step explanation:
Cross multiply
(2x + 6 + 2x)/(x² + 3x) = 1
(4x + 6) = x² + 3x
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3) = 0
x = -2,3
What is the remainder after performing the division below? 47÷7
A large sphere at an amusement park is 165 feet in diameter. Which of the following is closest to the volume, in cubic feet, of the sphere?
2,352,071.15 ft^3 is closest to the volume, in cubic feet, of the sphere .
What does sphere refer to?
The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the center, making it a three-dimensional solid. Depending on the radius, it has a surface area and a volume.
The volume of a sphere = 4/3 π r^3 where r is the radius.
Here the radius = 1/2 * 165 = 82.5 ft.
So the volume = 4/3 π (82.5)^3
= 2,352,071.15 ft^3
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Given that 4, p, q 13 are consequtive terms of an arithmetic progression, find the value of p and q
to get to campus, a student rides his bike at 16 feet per second for 5 miles to the bus stop. they place their bike on the bus and ride 15 miles at 25 miles per hour. they then ride their bike at 16 feet per second for 480 yards to the bike rack. they then walk 250 feet at 2.5 miles per hour into their class. if they left home 50 minutes before class started, how late/early were they? round to three significant figures and enter your answer as a positive value.
If he left home 50 minutes before the class started he was 53.7 minutes late for his class.
Given that,
Speed of the bike = 16 feet per second = 10.9091 miles/hour
Distance from home to bus stop = 5 miles
Total time taken to reach bus stop = distance/ speed = 5 miles/10.9091 miles/hour= 0.458 hours = 27.5 minutes
Then, speed of the bus = 25 miles per hour
Distance from bus stop to campus = 25 miles
Total time taken to reach campus = distance/ speed = 25 miles/25 miles/hour= 1 hour= 60 minutes
Then, speed of the bike = 16 feet per second = 10.9091 miles/hour
Distance from campus to bike rack = 480 yards = 0.2727 miles
Total time taken to reach bike rack = distance/ speed = 0.2727 miles/ 10.9091 miles/hour= 0.249 hour= 15 minutes (approximately)
Then, the Speed of walking = 2.5 miles per hour
Distance from bike rack to class = 250 feet = 0.047 miles
Total time taken to reach class = distance/ speed = 0.047 miles/ 2.5 miles/hour= 0.0188 hour= 1.2 minutes (approximately)
Thus, total time taken to reach class = 27.5 minutes+60 minutes+15 minutes+1.2 minutes = 103.7 minutes
Therefore, If he left home 50 minutes before the class started he was 53.7 minutes late for his class.
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If 35% of a number is 77 and 90% of the same number is 198, find 55% of that number.
Answer:
Let's call the number we're trying to find "x".
We know that 35% of x is 77, so we can set up the equation:
0.35x = 77
We also know that 90% of x is 198, so we can set up another equation:
0.9x = 198
We can use the first equation to find the value of x and then substitute that value into the second equation to find 55% of x.
To find x, we divide both sides of the first equation by 0.35:
x = 77 / 0.35 = 220
Now that we know x is 220, we can find 55% of x by multiplying 220 by 0.55:
0.55x = 220 * 0.55 = 121
So 55% of the number is 121.
Answer:
121
Step-by-step explanation:
Because one of the answers is already divisible by 10, allowing us to find 100% of the unknown number, we can first find 10% by dividing the 90% number by 9. 198/9 is 22, meaning 22 is 10% of the number. We can then multiply it by 10 to get 100%, 22(10)=220. Meaning our full number is 220
From here we can simply multiply by our desired percentage, which is 55%. In order to multiply by a percent, you have you divide the percent by 100 to get .55. From there you can do 220*.55= 121. Meaning our answer is 121.
A store owner bought a batch of teddy bears for $120. She sells the teddy bears at a markup of 20% and made a profit of $24. How many teddy bears did she buy in the batch?
Chelsea wrote the equation cx + d=4(0.5x - 5). what values can she use for c and d so that the equation has infinitely many solutions? explain your reasoning.
On solving the provided question, we can say that the equation has infinitely many answers, c = 2
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
the equation
cx + d=4(0.5x - 5).
the equation has infinitely many answers
c = 2
as, 2x + d=4(0.5x - 5).
d = infinite
so has infinitely many answers
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The sum of -13 + (-9) is Choose...
Answer:-20
Step-by-step explanation:
Rick bought a photo printer and supplies for $186.90, which will allow him to print photos for $0.29 each. a photo store charges $0.55 to print each photo. how many photos must rick print before his total cost is less than getting prints made at the photo store? more than 718 photos. less than 718 photos. more than 900 photos. not enough information to solve.
The 718.85 < x inequality says that : He must print 719 photos or more.
Inequality:
In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size. There are several notations used to represent various types of inequalities.
The notation a < b means a is less than b.The notation a > b means that a is greater than b.Given,
In the question:
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.
and, A photo store charges $0. 55 to print each photo.
To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?
Now,
According to the question:
Let the photos be x
Rick bought a photo printer be $186.90
A photo store charges $0. 55 to print each photo.
The question is based on inequality:
Photo Printer < photo store
1.86.90 + 0.29x < 0.55x
- 0.29x - 0.29x
______________________
1.86.90 < 0.26x
Divide by 0.26x on both sides = 718.85 < x
Hence, The 718.85 < x inequality says that : He must print 719 photos or more.
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A walkway forms one diagonal of a square playground. The walkway is 20 M long. How long is a side of the playground?
Each side of the playground is __ m.
PLS HELP!!!
Each side of the playground is 10[tex]\sqrt{2}[/tex] m.
We know that in a square,
d = [tex]\sqrt{2}[/tex] a
where, d = diagonal of the square
a = side of the square
Now, according to the question the walkway forms a diagonal and is 20 meters long.
So, d = 20 m
a = ?
d = [tex]\sqrt{2}[/tex] a
20 = [tex]\sqrt{2}[/tex] a
a = 20/ [tex]\sqrt{2}[/tex]
= [tex]\frac{10\sqrt{2}*\sqrt{2} }{\sqrt{2}}[/tex]
= [tex]10\sqrt{2}[/tex]
Hence, the side of the playground is [tex]10\sqrt{2}[/tex] meters long.
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how to Write an equivalent system that will eliminate one of the variables when you add the equations.
The steps of elimination system of equations are as follows.
1. Both equations should be written in standard form.
2. Make the opposites of a single variable's coefficients.
3. Step 2's equations are combined to remove one variable.
4. Calculate the value of the last variable.
5. In one of the original equations, substitute the step-four solution.
What is an equivalent system of equations?
Equation systems are referred to as equivalent systems when their solutions are the same. Given a system of two equations, we can create an equivalent system by substituting one equation with the sum of the two equations or by substituting one equation with a multiple of itself.
We have to write an equivalent system that will eliminate one of the variables when you add the equations.
The steps of elimination system of equations are as follows.
1. Both equations should be written in standard form.
2. Make the opposites of a single variable's coefficients.
3. Step 2's equations are combined to remove one variable.
4. Calculate the value of the last variable.
5. In one of the original equations, substitute the step-four solution.
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How do you solve a 3 equation problem?
With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.
To solve a 3 equation problem, you can use elimination or substitution. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and then substitute that value into one of the other equations. You can then solve for the remaining unknown variable.
To solve a 3 equation problem, you can use elimination or substitution methods. With elimination, you need to add or subtract the equations to eliminate one of the unknown variables. With substitution, you need to solve one of the equations for one of the unknown variables and substitute that value into one of the other equations, then solve for the remaining unknown variable.
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8. what's the value of 57,281 joules in btus? a. 54.3 btus b. 28.9 btus c. 14.2 btus d. 37.7 btus
54.6 Btu is the value of 57,281 joules in btus .
What does Jule mean?
A measure of energy or work that is equivalent to the work completed by a force of one newton moving through a distance of one meter The term "joule" is frequently used in the context of physics to refer to units of energy.
Lifting an apple, which weighs roughly one Newton, is one example used to demonstrate a joule. One joule of work is expended if you lift the apple one meter into the air.
The conversion used from Joules to Btu is:
1 Btu = 1055.06 J
or,
1J = 1/1055.06 Btu
given that the energy 57281 J. Now we have to determine the energy in Btu.
As, 1J = 1/1055.06 Btu
57281J = 57281J/1J * 1/1055.06 Btu
= 54.6 Btu
Therefore, the correct option is, (B) 54.3 Btu.
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Answer: 54.3 Btus
Step-by-step explanation:
Find the value of x.
Answers to all the questions form 1 to 10 are illustrated below.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know the angle formed at the center of a circle is twice the angle formed at the circumference.
Answering each one in short.
1. x = 136/2 = 68°.
2. x = 146/2 = 73°.
3. x = 2×49 = 98°.
4. x = 2×62° = 124°.
5. As m∠O = 100°, x = 100/2 = 50°.
6. m∠O = 360 - 100 - 150 = 110°, x = 110/2 = 55°.
We know the angle formed by the same chords at the circumference is equal in measure.
7 . x = 18°.
8. x = 27°.
9. x = 180 - 55 - 90 = 35°.
10. x = 180 - 12 - 91 = 77°.
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