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2 years ago

Consider the attached diagram, where ∠PQR is a straight angle.

Mathematics

2 answers:

Genrish500 [490]2 years ago

7 0

Answer:

x = 22°

∠PQS = 112°

∠SQR = 68°

Step-by-step explanation:

Since ∠PQR is a straight angle, it is equal to 180°. This means that ∠PQS and ∠SQR added together is also equal to 180°.

∠PQS + ∠SQR = 180°

(6x - 20) + (3x + 2) = 180°

6x + 3x + 2 - 20 = 180°

9x - 18 = 180°

9x = 198°

x = 22

Now, we can substiute x into ∠PQS and ∠SQR.

∠PQS

(6(22) - 20)

∠PQS = 112°

∠SQR

(3x + 2)

(3(22) + 2)

∠SQR = 68°

Arada [10]2 years ago

6 0

Answer:

x = 22

PQS = 112

SQR = 68

Step-by-step explanation:

Straight angles equal to 180 degrees

(6x - 20) + (3x + 2) = 180

9x - 18 = 180

9x = 198

x = 22

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During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa

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Answer:

The price of each hamburger is $3

The price of each hot dogs is $2 .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

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3 x + 2 y = 13 .........A

2 x + 5 y = 16 .......B

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