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slava [35]
3 years ago
12

Need help with this one

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

∠TRS = 40°

Step-by-step explanation:

∠UTS is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠UTS = ∠TRS + ∠RST

9x - 15 = 3x + 16 + x + 9

9x - 15 = 4x + 25 ( subtract 4x from both sides )

5x - 15 = 25 ( add 15 to both sides )

5x = 40 ( divide both sides by 5 )

x = 8

∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°

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If JK = 28, JL = 20, KL = 13, and ML = 22, calculate NL. Image not set to scale.
kodGreya [7K]

Answer:

NL  = 440 /13  or 33.85 (to two decimals)

Step-by-step explanation:

Consider triangles JKL and NML

angle JLK = angle NLM           vertical angles

angle KJL = angle MNL           given

Therefore triangles JKL and NML are similar

By proportion of corresponding sides of similar triangles,

NL / JL = LM / LK

Substitute given values

NL / 20 = 22 / 13

solve for NL

NL = 20*22 / 13 = 440 /13  or 33.85 (to two decimals)

3 0
3 years ago
Read 2 more answers
What is the correct answer...<br> 7x(3+6-2)+x-5
spayn [35]

7x(3+6−2)+x−5


Combine Like Terms:

=49x+x+−5


=(49x+x)+(−5)


=50x+ −5


I hope this helps!


8 0
3 years ago
Can anyone help me with this with easy tricks
Lorico [155]

Answer:

1,120 cm³

Step-by-step explanation:

Hello!

<u>Think about it this way:</u> There is a rectangular prism, with lengths of 20cm, 12cm, and 10cm, and another rectangular prism cut out of it with lengths, of 8cm, 8cm, and 20cm.

<h3>Larger rectangular prism</h3>

Volume = L * W * H

  • V = 20cm * 12cm * 10cm
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<h3>Cut-Out Rectangular Prism</h3>

V = L * W * H

  • V = 8cm * 8cm * 20cm
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Subtract:

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The total volume is 1,120cm³

7 0
2 years ago
Find the value of y<br><br> y + 5 = 2x + 6
Eddi Din [679]
You have to isolate the y, so just subtract 5 from both sides to get:
y + 5 - 5 = 2x + 6 -5
y= 2x + 1

Hope it makes sense.
8 0
3 years ago
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A 200 pound person weighs 33 pounds on the moon.​ Type the answers in the boxes below. 1. How much did the person's weight decre
Kitty [74]
If you’re asking for just the number of pounds then the answer is
200-33= 167 pounds

If you’re asking for a percentage of decrease it will be

200 - 33 = 177
_______ ____ = 0.885 x 100 will equal to 88.5% decrease.
200 200
8 0
2 years ago
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