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Karo-lina-s [1.5K]
2 years ago
15

Find the value of x. Then find the measure of each labeled angle.

Mathematics
1 answer:
3241004551 [841]2 years ago
6 0

Answer:

x = 70 and the labeled angles are 110 and 70

Step-by-step explanation:

This is a trapezoid, the bases are parallel.

Since the bases are parallel, given two angles are supplementary and their sum is equal to 180:

x + 40 + x = 180 add like terms

2x + 40 = 180 subtract 40 from both sides

2x = 140 divide both sides by 2

x = 70 and the labeled angles are 110 and 70

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Solve -3(x+4) = 7x + 4
Nataliya [291]

Answer:

x = -8/5

Step-by-step explanation:

-3(x+4) -> -3x-12

-3x-12=7x+4

-7x

-10x-12=4

           +12

-10x=16

16/-10 = -8/5

-8/5 = x

7 0
2 years ago
Mrs. Carter baked 100 muffins for a bake sale. The muffins were sold in packages in 2. There were 12 muffins left. Write an equa
krek1111 [17]
100 muffins, and 2 in each packages. Therefore, there are 50 packages. However, at the end, there are 12 left, so there must have been 6 packages left. (12/2) 50-6=44. 44*2=88 so 88 muffins were bought. 
6 0
3 years ago
A movie theater is selling adult’s tickets for $11 and children’s tickets for $6. If the movie theater sold a total of 114 ticke
ycow [4]

Answer:

there were 82 adult tickets and  32 children tickets that were sold

Step-by-step explanation:

x = adult's tickets

y = children's tickets

\left \{ {{x + y = 114} \atop {11x + 6y = 1094}} \right.

x + y = 114

y = -x +114

replace y by -x +114 in the second equation

11x + 6y = 1094

11x + 6(-x + 114) = 1094

11x -6x + 684 = 1094

5x + 684 = 1094

5x = 410

x = 82

x + y = 114

82 + y = 114

y = 32

8 0
4 years ago
Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) superscript x
GarryVolchara [31]

The value of a in the exponential function is 4/5.

Given the exponential function is f(x)=a(3/2)ˣ.

An function may be a mathematical relation of the subsequent form: f(x)=aˣ. where x may be a variable, and a could be a constant called the exponential of the function.

When multiplying the any function by a constant, we may expand or shrink the function in the y-direction.

y=a(b)ˣ

If a>1 then the function will enlarge.

If a<1 then the function will shrink.

When a=4/5

Then 4/5<1 means the function would shrink.

When a=5/4

Then 5/4>1 means the function would enlarge.

When a=3/2

Then 3/2>1 means the function would enlarge.

When a=7/4

Then 7/4>1 means the function would enlarge.

Hence, the given function f(x)=a(3/2)ˣ would shrink when a=4/5.

Learn more about exponential function from here brainly.com/question/2456547

#SPJ4

6 0
2 years ago
Please help ! I'm so confused ​
seropon [69]

Answer:

okay, so you need to add the two angles that you already have and the subtract 180* from it and thats your answer. ( at least i learned it that way. lol )

Step-by-step explanation:

7 0
3 years ago
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