Can someone please help me with math

If RX=4 and XS=9, then XT= And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

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

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

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

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

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

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

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The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square i

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The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?

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Given MN is an angle bisector of ∠JMK Prove: M∠JMN = 1/2 M∠JMK FOR BRAINLIEST

blagie [28]

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

If MN is angle bisector, then

m∠JMN=m∠NMK.

The two smaller angles are adjacent angles, then

m∠JMK=m∠JMN+m∠NMK=2m∠JMN.

Divide this equality by 2:

$m\angle JMN=\dfrac{1}{2}m\angle JMK.$

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Hope it works for you

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2nd part: 3x6x9
3rd part: add the product of those two steps

you have to break it down into two rectangular prisms and find the volume of each and then add

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