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Kay [80]
3 years ago
14

I need to get this done

Mathematics
1 answer:
Allushta [10]3 years ago
7 0

Answer:

x = 17 and y = 8

Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

2x = 34

Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

5y + 140 = 180

5y = 40

y = 8

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Which points of the following points are solutions to the equation 3x-4y-8=12
Natali [406]

Answer:

(0, -5), (4, -2), (-16, -17)

Step-by-step explanation:

I attach your full question in the image below

The equation is

3x-4y-8=12

Which can be rewritten as

3x-4y =12 +8

3x-20 = 4y

y = (3/4)*x - 5

We need to check each individual case

(0,-5)

y = (3/4)*(0) - 5  

y = -5

True

(4,-2)

y = (3/4)*(4) - 5  

y = -2

True

(8,2)

y = (3/4)*(8) - 5  

y = 1

False

(-16,-17)

y = (3/4)*(-16) - 5  

y = -17

True

(-1,-8)

y = (3/4)*(-1) - 5  

y = -23/4

False

(-40,-34)

y = (3/4)*(-40) - 5  

y = -35

False

(0,-5) (4,-2) and (-16,-17) are the solutions

8 0
3 years ago
The temperature went from -6°F to -11°F. What was the change in temperature?
Paladinen [302]

Answer:

5°F is the change of temperature

Step-by-step explanation:

Subtract the two numbers

(-11) - (-6) = -11 + 6 = -5

It is asking for the change, and so the sign does not matter in this case.

There is a 5°F change to the temperature.

~Elite

5 0
3 years ago
Read 2 more answers
An arithmetic sequence is represented by the recursive formula a1=17an=an−1−8 . What is the fourth term in the sequence? a4=−4 a
user100 [1]

Answer:

a₄ = - 15

Step-by-step explanation:

Using the recursive formula and a₁ = 17 , then

a₂ = a₁ - 8 = 17 - 8 = 9

a₃ = a₂ - 8 = 9 - 8 = 1

a₃ = a₂ - 8 = 1 - 8 = - 7

a₄ = a₃ - 8 = - 7 - 8 = - 15

4 0
3 years ago
Davida bought a pair of earrings, each in the shape of an isosceles triangle with equal side lengths of 24 mm and a base length
zubka84 [21]
If the base is 11 mm the side lengths are 19 mm
3 0
4 years ago
Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn suppli
Olin [163]

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

3 0
4 years ago
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