Answers
Answer:
x = 10
Step-by-step explanation:
The angles are supplemental
100 -2x + 10x = 180 Combine like terms
100 + 8x = 180 Subtract 100 from both sides of the equation
8x = 80 Divide both sides by 8
x = 10
Related Questions
John took a 5 1/2 mile walk at his friend's house. He left at 11 am and arrived at his friend's house at 1pm what was his average speed of walking?
Answers
Answer:
2¾miles/hour or 2.75 miles/hour
Step-by-step explanation:
average speed = total distance ÷ total time
total time= 2 hours
therefore his average speed= 5½ mile ÷ 2 hours
= 2¾ miles/hour
Please help!! Problem 10)
What are the missing parts that correctly complete the proof?
Drag the answers into the boxes to correctly complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answers
The correct input to the blank of the question is given below.
What are Triangle Congruence Theorems?
If the corresponding interior angles are equal in measure and the sides of two triangles are equal in size, then the triangles are congruent.
The missing part that completes the proof is given by:
1. Given.
2. Definition of linear pair.
3. m∠ABD + m∠CBD = 180°
4. 90° + m∠CBD = 180°
6. DB ≅ DB
7. HL Congruence Theorem
Hence, these are the missing part to complete the proof.
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Find the value of x.
please show work
Answers
so a much easier way to find this out is to look at the angles . x is = 126 (as the other side is too)
BUT here’s the other way too :)
(6z+6)= (6z+1)
(5y-4)= (5y-4)
126
Answer:
x = 126
Step-by-step explanation:
The angle indicated with 126° and the angle represented with (5y - 4) are alternate angles and their measures are equal so we can write the following equation to find the value of y:
5y - 4 = 126 add 4 to both sides
5y = 130 divide both sides by 5
y = 26
x and the angle indicated with 126 are also alternate angles so
x = 126
The angle represented with (5y - 4) are the angle represented with (6z + 6) are supplementary angles and their sum is equal to 180, we can write the following equation based on this information:
6z + 6 + 126 = 180 add like terms
6z + 132 = 180 subtract 132 from both sides
6z = 48 divide bot sides by 6
z = 8
You deposit $300 each month into an account earning 4% interest compounded monthly.
A. How much will you have in the account in 20 years?
B. How much total money will you put into the account?
C. How much total interest will you earn?
Answers
You will have $1,09,545.455 in the account in 20 years. An you will put total $72,000 in the account. And you will earn $37,545.455 of total interest.
Here,
We deposit $300 each month earning 4% interest compounded monthly.
we will find the future value of this amount after 20 years.
for finding future value, The general formula is
FV=PV∙(((1+i)ⁿ-1))/i
Where,
FV= future value
PV=present value
i=interest
n=time period
now, our PV=300$ and we have 4% interest compounded monthly
i.e.
i=4/100∙1/12
i=0.0033
And, the period of time is
n=20×12
n=240
Now, we will calculate the future value
FV=300 (((1+0.0033)²⁴⁰-1))/0.0033
FV=300 (((1.0033)²⁴⁰-1))/0.0033
FV=300 (((2.205)-1))/0.0033
FV=300(365.15)
FV=1,09,545.455$
Now, The total money you put into account is
total amount=300×20×12
total amount=72,000$
Total interest,
total interest=109545.455-72000
total interest=37,545.455$
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Evaluate the quantity one fourth squared times one fourth raised to the zero power end quantity all raised to the second power.
Answers
The value of one fourth squared times one fourth raised to the zero power end quantity all raised to the second power is 1/256.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
From the information, the exponent illustrated will be:
= (1/4^2 × 1/4^0)²
= (1/16 × 1)²
= (1/16)²
= 1/16 × 1/16
= 1/256
The value is 1 / 256.
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Which of the following is the correct representation of permutation?
Answers
Answer:
Step-by-step explanation:
If is a permutation group of degree, then the permutation representation of is the linear representation of which maps to the corresponding permutation matrix (here is an arbitrary field). That is, acts on by permuting the standard basis vectors.
pls answer this with solution i need tomorrow
Answers
The profit is P 12 after selling the bananas for P 2.50 each after applying the simple arithmetic.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
For the first part:
1 Peso=4 pieces of 25 centavo coins
1 Peso=10 pieces of 10 centavo coins
Total length = 2.5 meters
1 floweret uses 5 decimeters
1 decimeter = 1/10 meters
2.5 meter in decimeter
250 decimeter
Total floweret = 250/5 = 50
Total money = 10x50 = P 500
The total cost of bananas = 18
The bananas sold = 2.50(12) = 30
Profit = 30 - 18 = P 12
Thus, the profit is P 12 after selling the bananas for P 2.50 each after applying the simple arithmetic.
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A total of $7000 is invested: part at 6% and the remainder at 8%. How much is invested at each rate if the annual interest is $430?
Answers
$6500 is invested at the rate of 6% and $500 is invested at the rate of 8%.
What is annual interest rate?
An annual percentage rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account.
Invested amount = $7000
Let x be the invested amount at 6% and y be the invested amount at 8%.
According to the question,:
x+y=7000......(1)
annual interest is $430.
Therefore Interest on x + interest on y = $430
Interest=(invested amount*rate*time)/100
Here Time is 1 year.
(6*x)/100+(8*y)/100=430
This shows, 6x+8y=43000.......(2)
From equation (1), we have:
x=7000-y.........(3)
Substitute the value of x in equation (2),
6(7000-y)+8y=43000
On simplifying, y=500
Put y = 500 in equation (3)
we get x=6500
Therefore $6500 is invested at the rate of 6% and $500 is invested at the rate of 8%.
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¿cuales son los divisores del 27?
Answers
b. The deck of the skateboard is made of a composite material. Which of the following statements about composite materials are true and which are false? Put a tick in one box in each row.
all the atoms in a composite are the same
one example of a composite is glass reinforced plastic
the properties of a composite are a combination of the properties of the materials used to make it
materials used to make composites are always arranged in layers
Answers
The correct options to the statements will be:
All the atoms in a composite are the same - False.
One example of a composite is glass reinforced plastic - True.
The properties of a composite are a combination of the properties of the materials used to make it - True
The materials used to make composites are always arranged in layers - False.
What are Composite materials?Composite materials are created by fusing two or more materials with very different properties. The different materials work together to give the composite its unique properties, but within the composite, the different materials can be easily distinguished - they do not dissolve or blend into each other.
A composite material is made up of two materials that have distinct physical and chemical properties. When they are combined, they form a material that is specialized to perform a specific function, such as becoming stronger, lighter, or electrically resistant. They can also help to increase strength and stiffness.
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The population of a certain town is approximately 158,000 and
increases exponentially at the rate of 7% every year. Which equation
best represents the population of the town after × years?
-y = 158,000 (.07) *
-y = 158,000 (1.7) *
-y=158,000(1.07) *
- y = 158,000 (. 93) *
Answers
The equation that best represents the population of the town after x years is C. y = 158,000(1.07)ˣ.
What is an exponential equation?An exponential equation is an equation with exponents.
Exponential equations have the exponents (or) parts of the exponent as variables.
Exponential equations are raised to the power of the indicated exponents or variables.
The population of a town = 158,000
Annual rate of increase = 7%
After x years, the population, y = 158,000 x 1.07ˣ
= 158,000(1.07)ˣ
Thus, in x years, the town's population will become the solution to equation C. 158,000(1.07)ˣ where x is the number of years after the approximation.
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The capital letter Y is rotated 180°. Are there any other transformations that would result in the same image?
Explain your answer.
Answers
When the capital letter Y is rotated 180°, Our point A(x,y) rotates 180 degrees counterclockwise around the origin to become A' (-x,-y). transforming both x and y negative is all we do as a result.
Define Transformations.A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given,
The capital letter Y is rotated 180°.
The coordinates shift from (x, y) to (x, z) when you reflect a figure across the x-axis (x, -y). The coordinates would change from (x, -y) to (x, y) if you then reflected it over the y-axis (-x, -y). As a result, reflecting over the x- and y-axes will be similar to turning 180 degrees counterclockwise. Our point A(x,y) rotates 180 degrees counterclockwise around the origin to become A' (-x,-y). transforming both x and y negative is all we do as a result.
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determine if the triangles can be proved similar
Answers
Answer:
no it can't be proved similar
A varies jointly as b inversely as d. If A = 30, b= 6, and d = 3, find A when b=9, and d = 2.
Answers
If A varies jointly as b and inversely as d then value of A when b = 9 and d = 2 is 135/2.
What is proportionality?
If A is inversely proportional to B, this is expressed as:
A α 1/B
A = k 1/B
where k is the constant of proportionality.
According to the given question:
A varies jointly with b and inversely with d
[tex]A \alpha \frac{b}{d}[/tex]
A = k b/d where k is proportionality constant
If A = 30, b = 6 and d = 3, finding the value of k
30 = k 6/3
k = 15
Now to find A when b = 9 and d = 2, using value of k
A = 15 x 9/2
A = 135/2
Hence the value of A is 135/2.
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A ball is thrown from an initial height of 4 feet with an initial upward velocity of 36 ft/s. The ball's height h (in feet) after seconds is given by the following.
h=4+36t-16t^2
Find all values of t for which the ball's height is 20 feet.
Answers
The values of t for which the ball's height is 20 feet are t = 1.64 seconds and t = 0.61 seconds
Calculating the values of time, tFrom the question, we are to determine all values of t for which the ball's height is 20 feet
From the given information,
The ball's height h (in feet) after seconds is given by the following:
h = 4 + 36t - 16t²
To determine all values of t for which the ball's height is 20 feet, we will substitute h = 20 in the equation
h = 4 + 36t - 16t²
Substitute h = 20
20 = 4 + 36t - 16t²
Rearrange
16t² - 36t + 20 - 4 = 0
16t² - 36t + 16 = 0
Divide through by 4
4t² - 9t + 4 = 0
Solve the equation quadratically
Using the quadratic formula,
t = [-b ± √(b² - 4ac)]/2a
a = 4, b = -9, and c = 4
t = [-(-9) ± √((-9)² - 4(4)(4))]/2(4)
t = [9 ± √(81 - 64)]/8
t = [9 ± √(17)]/8
t = [9 ± 4.12]/8
t = [9 + 4.12]/8 and t = [9 - 4.12]/8
t = 13.12/8 and t = 4.88/8
t = 1.64 seconds and t = 0.61 seconds
Hence, the values of t are t = 1.64 seconds and t = 0.61 seconds
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answers
The value of x is 66°.
What are parallel lines?
No matter how far they may extend in either direction, parallel lines are ones that are equally spaced apart from one another and never cross.
If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
Here, we have
m = 132°
n = 2x°
This means we will set both parallel lines equal to each other and solve for x.
132° = 2x°
x = 66°
Hence, the value of x is 66°.
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By the end of the first week a movie had grossed $2.3million. By the end of is six week, it had grossed $6.8million. Graph the data with the week on the vertical axis, and draw a line through the points.Then find and interpret the slope of the line.
Answers
Answer:
The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.
Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9
The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.
Candy Snaps come in several colors. The company claims that at least 30% of the
candies are red. After eating bags and bags of these candies, Brenda thinks the
percentage of red candies is less than 30%. So, she takes a sample of 50 candies and
finds that 10 of them are red.
Calculate the test statistic for this problem. (Round to the nearest thousandth.)
Answers
An outcome of a statistical analysis is a test statistic. The null hypothesis, which claims that there is no association between the variables or difference between the sample groups, is explained by the observed data's distance from it.
Calculate the test statistic for this problem ?
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If P value < α ; Reject H0 ; otherwise, fail to reject H0
A.) Left tail , Z = - 1.32 ; α = 0.10
We can use the P value calculator from Z score :
P value = 0.934
P value > α ; Hence, we fail to reject the null, H0
B.) Right-tailed test, z = 2.46, α = 0.01
P value from Z score calculator ;
P value = 0.0069
P value < α ; Hence, we reject the null, H0
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A fish is swimming at a constant rate toward the ocean floor. The equation y = -3x - 7 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Answers
Answer: x= -3/7
Step-by-step explanation: If trying to find when the fish will hit the floor you know that the floor is y=0 on a graph, so you can sub in 0 for y and solve for x and that will give you the seconds the fish will swim until hitting the bottom.
Which number doesn't share the same pattern as: 2, 20, 4, 8, 300
Answers
Answer:
The number "2" does not follow the same pattern
Step-by-step explanation:
as the numbers "2, 20, 4, 8, 300." A pattern is given: 2,20, 4,8,300.
2 is the number which doesn't share the same pattern as 20, 4, 8, 300
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
We need to find the number which doesn't share the same pattern as: 2, 20, 4, 8, 300
We can observe that in the given patterns 2,20, 4,8,300, all the numbers are divisible by 4 except 2.
Twenty by four equal to five
20/4=5
Four by four equal to one
4/4=1
Eight by four equal to two
8/4=2
Three hundred by four equal to Seventy five
300/4=75
2 is not divisible by 4.
Hence, 2 is the number which doesn't share the same pattern as 20, 4, 8, 300
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A triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the
Pythagorean Theorem. What are the measures of the other 2 angles?
Answers
Answer:
28.072°, 61.928°
Step-by-step explanation:
You want the measures of the acute angles in a right triangle with sides 8, 15, 17.
Trig functionsAny of the (inverse) trig functions can be used to find the angles. You know the acute angles are complementary, so finding one tells you the measure of the other.
Tan = Opposite/Adjacent
The smallest angle (A) is adjacent to side 15 and opposite side 8.
tan(A) = 8/15
A = arctan(8/15) ≈ 28.072°
The complement is angle B:
B = 90° -28.072° = 61.928°
__
Additional comment
We have taken sides {a, b, c} = {8, 15, 17}. The angles opposite those sides are A, B, C.
You can also use ...
A = arcsin(8/17)
B = arccos(8/17)
1.
2.
3.
Two Truths & One Lie:
Which of the 3 statements below is a lie?
Explain how you made your decision.
Z=8
X = 4 Y=6
132 x 13x = 136
my x m² = mx
5Y x 56 = 512
00
Stephanie Marrero, 2021
Answers
Answer:
2
Step-by-step explanation:
because 1. is true and 3. is true
The statements above which is a lie is number 2
Statement 1 :
13^2 x 13^x = 13^6
13^(x + 2) = 13^6
x + 2 = 6
x = 6 – 2
x = 4 (True)
Statement 3 :
5^y x 5^6 = 5^12
5^(y + 6) = 5^12
y + 6 = 12
y = 12 – 6
y = 6 (True)
Statement 2 :
M^y x m^z = m^x
m^6 x m^z = m^4
m^(z + 6) = m^4
z + 6 = 4
z = 4 – 6
z = -2 (False)
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The scale on a map is
1 inch: 25 miles. You measure
8.5 inches between two towns..
What is the actual distance?
Answers
The actual distance is = 162.5mi
What is scale map?The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary across a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of scale significant in two different ways.The first method involves comparing the producing globe's size to that of the Earth. A conceptual model, called the generating globe, upon which the Earth is condensed and onto which the map is projected. The nominal scale (also known as the major scale or representative fraction) is the ratio of the size of the Earth to that of the generating globe.Acc to our question-
If the scale of the map is 1in:25mi, and you measure 6.5in between two twoms, then the real distance would be 6.5in*25mi = 162.5mi.Hence,The actual distance is = 162.5mi
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15 points please help
Answers
Hope this helped :)
Select the mapping that represents a function.
Then complete the table with the values from the mapping and press Submit.
Answers
The mapping that represents a function is Y.
And the table with the values from the mapping.
X Y
(-1, 4) (1, 4)
(-2, 5) (2, 4)
(-2, 6) (3, 5)
In this question we have been given two mappings i.e., we have been given two relations.
We need to select the mapping that represents a function.
We know that a relation is a function when for every input-value there should be associated with exactly one output-value.
From given table the mappings are:
X Y
(-1, 4) (1, 4)
(-2, 5) (2, 4)
(-2, 6) (3, 5)
We can observe that in mapping X, for input -2 there are two outputs.
This means, the mapping X is not a function.
Therefore, the mapping that represents a function is Y.
And the table with the values from the mapping.
X Y
(-1, 4) (1, 4)
(-2, 5) (2, 4)
(-2, 6) (3, 5)
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The whale shark feeds for 7.5 hours each day. Graph the function that represents the amount f of food (in pounds) filtered by the whale shark as a function of the number d of days.
Answers
Answer:
step by step answer at least
I am having trouble solving this.
Answers
Answer:
(f o g)(x) = 8x² + 10x + 3
Step-by-step explanation:
(f o g)(x) = f(g(x))
= 2 (4x² + 5x) + 3
= 8x² + 10x + 3
3.6 qt to liters whats this in rounded digits
Answers
Answer: 3.40687
Step-by-step explanation: 3.40687
Determine the end behavior of the following polynomial function:
f(x)=−2x^3+20x^20+20x^18+60x^7+9
The leading term of the polynomial is ?
The degree of f(x) is ?
The leading coefficient is ?
Answers
The end behavior of the following polynomial function is option A.
The leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.
Given function:
f(x)=−2x^3+20x^20+20x^18+60x^7+9
= 20x^20+20x^18+60x^7+2x^3+9
Here the degree is 20.
Leading term = 20x^20.
Leading coefficient = 20.
The degree is even and the leading coefficient is positive so end behavior is upward parabola which is option A .
Therefore the leading term of the polynomial is 20x^20, degree of f(x) = 20, and the leading coefficient is 20.
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Which of the following are equivalent exponential function(s) to f(x)=(1/11)^-x
Answers
The equivalent function of the exponential function is (e) f(x) = 11ˣ
How to determine the equivalent function?From the question, we have the following function that can be used in our computation:
f(x) = (1/11)^-x
This function can be properly expressed as
f(x) = (1/11)⁻ˣ
Solving further, we need to apply the exponent law of indices
This is represented as
a⁻ˣ = 1/aˣ
When the above rule is applied, we have
f(x) = 1/(1/11)ˣ
Evaluate the quotient
f(x) = (11/1)ˣ
This gives
f(x) = 11ˣ
Hence, the equivalent is (e) f(x) = 11ˣ
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