3 years ago

Determine the value of x.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

7 0

Answer: 1) -5.8

Step-by-step explanation:

in order to solve the problem you have to put it together:

9x-5 = 14x+24

then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x

so from there we divide , giving us x= -5.8

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Read 2 more answers

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

$\angle RPO = 180 - 145$

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Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

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Collect like terms

$\angle PRO = 180-100$

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