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3 years ago

Solving systems of equations using substitution. y=2x+8. y=5-x

Mathematics

1 answer:

kherson [118]3 years ago

4 0

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

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3 years ago

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

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Collect like terms

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3 years ago