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2 years ago

HELP PLEASE ASAP!!!!

Mathematics

1 answer:

denis-greek [22]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Vertical angles are congruent, hence

2z + 43 = - 10z + 25 ( add 10z to both sides )

12z + 43 = 25 ( subtract 43 from both sides )

12z = - 18 ( divide both sides by 12 )

z = $\frac{-18}{12}$ = - $\frac{3}{2}$

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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

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

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

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

2 years ago

Someone please help me, use a variable to represent the situation, and solve the equation using inverse operations.

Scorpion4ik [409]

Answer:

36 in

Step-by-step explanation:

T= toucan

M= macaw

T= 2/3M

T= 24

24= 2/3M

72=2M

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2 years ago

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What is K if your equation is 49X-84X+K

Elan Coil [88]

Answer:

Step-by-step explanation:

if there is just k, the number behind it is always 1

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2 years ago

78.63 - 3.47 × (5.41 - 3.41)4

givi [52]

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~pragya

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Reptile [31]

Answer:

(2, 3)

Step-by-step explanation:

lines with undefined slopes are vertical lines

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2 years ago