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3 years ago

[Help asap, will mark brainliest] Refer to the diagram shown to classify the relationship between each angle pair.

Mathematics

2 answers:

Anastasy [175]3 years ago

8 0

Answer:

a) corresponding

b) alternate interior

c) alternate exterior

d) supplementary

e) vertical

Step-by-step explanation:

I hope this helps :)

Pepsi [2]3 years ago

7 0

1 and 3 are corresponding.
2 and 6 are alternate interior.
1 and 5 are alternate exterior.
7 and 8 are supplementary.
4 and 6 are vertical.

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The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is $(x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Here, $m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6$

On substituting the values in the formula we get

$(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}$

$\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}$

$\Rightarrow (x,y)=(-1,4)$

Therefore, option 2 is correct that is (-1,4)

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Question 16

Vadim26 [7]

Answer: 175

Step-by-step explanation: total = x + 5y dollars and dollars = 300 so

x + 5y = 300 then since we know y = 200 we can substitute that

x + 5(200) = 300 then subtract x from 200

x + 5(200 - x) = 300 now solve for x

x + 5(200) + 5(-x) = 300 we know 5 times 200 is 1000

x + 1000 - 5x = 300 then subtract 5x - x = -4x

-4x + 1000 = 300 switch around 1000 and 300

-4x = 300 - 1000 subtract 300 - 1000 = -700

-4x = -700 multiply

x = -700/(-4) then finish up and solve

x = 175

hope this helps please mark brainliest if you can

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