Answer: The measure of each angle is 105°, 50°, and 25°.
Step-by-step explanation: The first step in solving this is writing down what you know.
In the phrase it tells you that "one angle of a triangle measures 80 more than the smallest", so we can say that one angle = 80 + smallest angle.
This can be simplified more to x = 80 + y
x = One Angle
y = Smallest Angle
Then if we continue with the phrase it says "a third angle is twice the smallest", so we can say that a third angle = 2(Smallest Angle).
This can be simplified more to z = 2(y)
z = Third Angle
We also know that a triangles angles add up to 180°, so we know x + y + z = 180.
So, with these equations we can now solve for x, y, and z.
The easiest way would be to simply just plug in x and z straight into the 180 equation as follows.
x = 80 + y
z = 2(y)
180 = x + y + z
180 = (80 + y) + y + (2y)
180 = 80 + 4y
100 = 4y
y = 25
Then we can use y to solve for the other two equations.
z = 2(25) x = 80 + 25
z = 50 x = 105
After completing that you are left with the three angles of the triangle, 25, 50, and 105.
30 POINTS AND BRAINLIEST PLS HELPP - Vanessa's bedroom floor is a rectangle 3m wide and 5m long. She chooses a new carpet that costs £20 per m squared. How much does the carpet cost??
Answer:
Carpet costs = 300£
Step-by-step explanation:
• First calculate the area of the floor:
Area of floor = length x width
= 5m² x 3m²
= 15m²
• As one m² of carpet costs £20, 15m² of carpet costs:
15 x 20
= 300£
A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. In February, your friend took the same exam over again. This time your friend scored in the 90th percentile. As a research methods student, you told your friend that his/her lowered score was most likely due to:
His/her lowered score was most likely due to statistical regression.
How to determine the reason?The missing options in the question are:
A. compensation rivalry B. Demoralization C. Differential selection
D. Testing E. Statistical regression
From the question, we have:
September = 99th percentileFebruary = 90th percentileA change (whether higher or lower) in the score is caused by statistical regression.
This is so because several variables could attribute to the change in the score.
The relationship between these variables is referred to as statistical regression
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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 - inch sections to tie the tent to stakes in the ground. Mario will use all of the rope as instructed. write and solve n equation to determine the number of 8 1/4 - inch sections of rope Mario can cut from the rope
An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.
Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,
Rope left = 84 inches - 34.5 inches
Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,
The number of sections, n = Rope left/8.25 inches
= (84 -34.5)inches /8.25 inches
= 6
Hence, the number of sections that Mario can cut from the rope is 6.
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answer:
In the given Triangle problem, the three options are:
1. m∠5 + m∠6 = 180°
2. ∠2+ ∠3 = ∠6
3. m∠2 + m∠3 + m∠5 = 180°
Step-by-step explanation:
Concept: Consider Δ ABC with Exterior angles ∠1, ∠4 and ∠6.
Use the Exterior angle Property of Triangle which says that an exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior angle ∠1 we have:
∠1 = ∠5 + ∠3
Similarly, for Exterior ∠4 we have:
∠4 = ∠5 + ∠2
Similarly, for Exterior ∠6 we have:
∠6 = ∠2 + ∠3
Now, use the Triangle Sum Property which states that in a triangle sum of the measures of angles is equal to 180°
m∠2 + m∠3 + m∠5 = 180°
Linear Pair:
The measure of a straight angle is 180°, so a linear pair of angles must add up to 180°.
m∠5 + m∠6 = 180°
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URGENT!
Select the correct reason for each statement.
Step-by-step explanation:
if you have any doubts or queries regarding the answer please feel free to ask
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
The complete question is
"The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. Which statement is correct?
a. The domain of this function represents the total cost for a job
b. H is a function of C
c. The painter charges a $35 service fee in addition to an hourly rate
d. The painters hourly rate is $35.00"
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours. So, the correct option is D. The painters hourly rate is $35.00
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The equation c = 35h + 60 describes a plumber's charges, c, for a job that takes h hours.
The fixed fee, or service fee, is $60.
$35 is the hourly fee since in the function, it is 35 that is multiplied by the number of hours.
So, the correct option is D. The painters hourly rate is $35.00
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(6, -5) reflected aross the y axis
Answer:
Then the new point is (-6,-5)
Step-by-step explanation:
In the cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained.
a. What is the ratio of the number of milk cartons taken to the total number of milk cartons?
b. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
Answer:
a. 73:100
b. 27:73
Step-by-step explanation:
total: 100
number remaining: 27
number taken: 100 - 27 = 73
a. taken:total = 73:100
b. remaining:taken = 27:73
#a
total milk cartons used=100-27=73
Total=100So the ratio is
73:100#b
It's already mentioned in question
The ratio is 27:73Solve.
2/3x +5/6 = 3 1/3
Enter your answer as a mixed number in simplest form in the box.
Answer:
[tex]x=\frac{15}{4}=3\frac{3}{4}[/tex]
Equation:
[tex]\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}[/tex]
Step-by-step solutionLinear equations with one unknown_____________________________________
1. Group all constants on the right side of the equation
[tex]\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}[/tex]
Subtract [tex]5/6[/tex] from both sides:
[tex]\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}[/tex]
Reduce the zero numerator:
[tex]\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}[/tex]
Simplify the arithmetic:
[tex]\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}[/tex]
Find the lowest common denominator:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}[/tex]
Multiply the denominators:
[tex]\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}[/tex]
Multiply the numerators:
[tex]\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}[/tex]
Combine the fractions:
[tex]\frac{2}{3}\cdot x=\frac{20-5}{6}[/tex]
Combine the numerators:
[tex]\frac{2}{3}\cdot x=\frac{15}{6}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}[/tex]
Factor out and cancel the greatest common factor:
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
2. Isolate the x
[tex]\frac{2}{3}\cdot x=\frac{5}{2}[/tex]
Multiply both sides by inverse fraction 3/2:
[tex]\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Group like terms:
[tex]\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Simplify the fraction:
[tex]x=\frac{5}{2}\cdot \frac{3}{2}[/tex]
Multiply the fractions:
[tex]x=\frac{5\cdot 3}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{2\cdot 2}[/tex]
Simplify the arithmetic:
[tex]x=\frac{15}{4}[/tex]
______________________
Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
__________________________
Terms and topics
Linear equations with one unknownAnswer: 3 3/4
Step-by-step explanation: i took the test (sorrry i cant tell why, im bad at explaining)
i need help with my math :( im horrable with it i cant do divideing fractions nor multiply and i dont know most of my multiples can anyone help im going into 7th
Step-by-step explanation:
To multiply the fractions, like
[tex] \frac{1}{4} \times \frac{1}{9} [/tex]
Multiply the top,
then multiply the bottom.
[tex] \frac{1}{4} \times \frac{1}{9} = \frac{1 \times 1}{4 \times 9} = \frac{1}{36} [/tex]
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
[tex] \frac{ \frac{1}{5} }{ \frac{1}{8} } [/tex]
You take the top number,
[tex] \frac{1}{5} [/tex]
Then you flip the bottom number,
[tex] \frac{8}{1} [/tex]
Then multiply the two
[tex] \frac{1}{5} \times \frac{8}{1} = \frac{8}{5} [/tex]
And that is your answer. Comment if you need more clarification
measurements are made on a raingauge at
Step-by-step explanation:
Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.
I need help for the question in the pic please help. thank you
Answer:
The value of x is 117° by using Alternative interior angle theorem
Step-by-step explanation:
Alternative interior angle theorem: It states that the angles made by transverse between two parallel lines are congruent.
as in figure
Angle A = 42°
Angle B = 108°
Angle C = x
Angle D = 51°
draw two parallel lines passing through B and C .
According to Alternative interior angle theorem angle B is written as 42° + 66°
and angle C is written as x1 + x2 .
Now x1 = 51° as x1 and D are alternative angles
And similarly x2 = 66°
As x = x1 + x2
Therefore x = 51° + 66° = 117°
The value of x is 117°
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what is the area of aregular hexagon with side length of 10units square?
Answer:
h ≈ 259.81
Step-by-step explanation:
i used the hexagon calculator
Answer:
150 sqrt 3 = 259.8076 units^2
Step-by-step explanation:
Interior angles of hexagon = 120 degrees ....now look at the Right 1/2 of the hexagon... see illustration....this is a trapezoid...
One base is 10 units
the other labelled 'base' is
10 cos 60 + 10 cos 60 + 10 = 20 units
the height of this trapezoid is 10 sin 60 = 10 * sqrt(3)/2 = 5 sqrt(3)
the area of this trapezoid is then 1/2 ( 10+ 20) * 5 sqrt (3) = 75 sqrt 3
there are TWO of these trapezoids in the hexagon so total area is then
2 * 75 sqrt 3
150 sqrt 3
An object is moved at a constant speed of 20m/s for 4s
Answer:
80 m is distance traveled
Step-by-step explanation:
if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled
wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence
Answer:
36 ft^2
Step-by-step explanation:
Perimeter = 4 + 4 + 2 +2 = 12 feet
12 feet x 3 feet high = 36 ft^2
rectangle has a base of 10 and a height of 5. What is the perimeter of the rectangle?
Answer:
30
Step-by-step explanation:
P=2(b+h)=2·(10+5)=30
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear equation: 1/4a+1/3a+8=22
Answer:
a=24
Step-by-step explanation:
Start by subtracting 8 from both sides giving:
1/4a+1/3a=14
Then find a common denominator between the two a terms which is 12 giving:
3/12a+4/12a=14
Combine the two terms:
7/12a=14
Then divide by 7/12 giving you a=24
i need help what's 8*3^2 i will mark brainiest if someone can answer it in 72-minute s
Answer:
72
Step-by-step explanation:
8 x 3² = 8 x 3 x 3
= 8 x 9
= 72
[P.S. If you meant (8 x 3)² the answer is:
(8 x 3)² = (24)²
= 24 x 24
= 576 ]
Can someone help me with this, it’s urgent. It’s geometry.
Answer:
10. Ray ED and Ray EF (two rays)
11. DE and EF (two line segments)
Step-by-step explanation:
hope this helped
Answer:
Ray ED and Ray EF
DE and EF
Step-by-step explanation:
3. Complete the square for the following equations:
a. y = 2x² 12x + 1
b. y = 4x² + 48x - 10
The square for the equation: [tex]y=2x^{2} + 12x +1[/tex] is [tex]y=2(x+3)x^{2} -17[/tex]
The square for the equation: [tex]y=4x^{2} +48x-10[/tex] is [tex]y=4(x+6)x^{2} -154[/tex]
a)
[tex]y=2x^{2} +12x +1[/tex]
[tex]y = 2[(x^{2} + 6x)] + 1[/tex] ( taking common)
[tex]y = 2[(x+3)^{2} - 9] + 1[/tex] ( adding and subtracting 9 to make a square term
[tex]y = 2(x+3)^{2} - 18 + 1[/tex] ( multiplying by 2)
[tex]y=2(x+3)x^{2} -17[/tex]
b)
[tex]y=4x^{2} +48x-10[/tex]
[tex]y = 4[(x^{2} + 12x)] - 10[/tex] (taking 4 common)
[tex]y = 4[(x+6)^{2} - 36)] - 10[/tex] (adding and subtracting 36)
[tex]y = 4(x+6)^{2} - 144 - 10[/tex](multiplying by 4)
[tex]y=4(x+6)x^{2} -154[/tex]
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!!!!!!!!!!!!!!!!!!!help!!!!!!!
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
Which set of graphs can be used to find the solution set to 3e* > >-x?
The attached graph represents the solution set of [tex]3e^x > \frac 12^x[/tex]
How to determine the graph?The complete options are not given.
So, I would plot the graph that represents the solution set
The inequality is given as:
[tex]3e^x > \frac 12^x[/tex]
Start by splitting the inequalities as follows:
[tex]f(x) > 3e^x[/tex]
[tex]g(x) > \frac 12^x[/tex]
The above means that we plot the graphs of f(x) and g(x) to represent the solution set
See attachment
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In (x, y), if x is _____________, then (x, y) lies either in the 2nd quadrant or in the 3rd quadrant.
Negative
there are four quadrant in the coordinate plan systemvalues of X and y 1st quadrant - ++ 2nd - - + third - - fourth + -adam has 18 counters he gives 10 to lesleay how many of the 18 counters does lesleay get give your answer in simplest form
The fraction of the counters that Lesleay gets is 5/9.
What is the fraction?
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. An example is 1/2.
The fraction of the counters that Lesleay gets = number of counters she gets / total number of counters
10/18 = 5/9
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Marvin uses apples to make apple bread the ratio of apples to loaves is 12:2 what is the equivalent ratio for 5 loaves of bread
Answer:
dSutlrysl07tris5eiruwf3rtst47er747y3utgxgudjdudufnlgjfngvi
3(2x − 8) – 11x
equivalent to
Answer:
-5x - 24
Step-by-step explanation:
3(2x − 8) – 11x =
Distribute the 3.
= 6x - 24 - 11x
Combine like terms.
= -5x - 24
Please Help Me! What is cos B?
Answer:
cos B = 0.4706
Step-by-step explanation:
The cosine of an angle in a right-angled triangle is the ratio of its adjacent side and the hypotenuse, so:
[tex]cos B = \frac{adjacent}{hypotenuse}\\\\cos B = \frac{8}{17} \\\\cos B = 0.4706[/tex]
Option B
Solve a^5=?
Please thank and thank you
Answer:
341.8801
Step-by-step explanation:
Tom has a fair six-sided spinner. he spins it three times. the probability that the spinner will land on white is
1/6.
calculate the probability that the spinner will land on white for all three spins.
The probability that the spinner will land on white for all three spins is 1/216
How to determine the probability?The probability is given as:
P(White) = 1/6
The event that the spinner lands on white all three times is:
White White White
The probability is then represented as:
P = P(White)^3
So, we have:
P = (1/6)^3
Evaluate
P =1/216
Hence, the probability that the spinner will land on white for all three spins is 1/216
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help please asap and thank you
Step-by-step explanation:
I am not sure I can see the room limitations.
what I see is that the kitchen is one large rectangle from
(-8, 8) to (0, 0).
the rec room is Amado one large rectangle from
(5, 6) to (8, -7).
I am basing the rest in this.
for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).
A)
area 1 =
rectangle (-8, 8) to (-5, 3)
plus
half of the rectangle (-5, 8) to (-3, 3)
3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²
area 2 =
half of the rectangle (-5, 8) to (-3, 3)
plus
rectangle (-3, 8) to (0, 3)
1/2 × 2×5 + 3×5 = 20 yd²
area 3 = area 4 =
half of the rectangle (-8, 3) to (0, 0)
1/2 × 8×3 = 4×3 = 12 yd²
B)
the total area of the kitchen is the sum of all 4 areas
20 + 20 + 12 + 12 = 64 yd²
we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).
8×8 = 64 yd²
