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3 years ago

I just need to know how to do it im just to lazy to look it up

Mathematics

2 answers:

aalyn [17]3 years ago

4 0

Answer:

x = 3

s = 11

z = 14

y = 2

Let me know if you need an explanation for this, I would be happy to help :)

777dan777 [17]3 years ago

4 0

Answer:

1. x = 3

2. s = 11

3. z = 14

4. y = 2

Step-by-step explanation:

1. x + 9 = 12

12 - 9 = x

⇒ x = 3

2. s - 1 = 10

10 + 1 = s

⇒ s = 11

3. 3 = z - 11

z - 11 = 3

11 + 3 = z

⇒ z = 14

4. 5 + y = 7

7 - 5 = y

⇒ y = 2

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konstantin123 [22]

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Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

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step 2

In the right triangle RTX

Applying the Pythagorean theorem

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step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

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step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

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step 6

Find the value of XT

equation C

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