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nexus9112 [7]
3 years ago
6

The triangles are similar. What is the value of x?

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Let's look at the ratio of the hypotenuse of both triangles:

25 : 5 = 25/5 = 5

we can see that the measures of the sides of the larger triangle are 5 times those of the smaller triangle.

Therefore, 3x + 8 = 4 x 5

⇒ 3x + 8 = 20

⇒ 3x = 20 - 8 = 12

⇒ x = 12 ÷ 3 = 4

⇒ x = 4

Brilliant_brown [7]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

As you can see, these triangles are demonstrating a scale factor. It is upscaling by 5. To find out what x is equal to, we need to upscale the smaller side. In this scenario, we have to multiply 4 by 5. This will get you 20. Now we can make an equation.

20=3x+8

We can subtract 8 from both sides.

Now we have:

12=3x

now dividing 12 by 3, we get

x=4

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Ratling [72]

the answers as follows

a) 16 b) 13 c) 16 d) 46 e) -630 f) 18 g) -32 h) 50 i) -6 j)38 l)61

Step-by-step explanation:

a) p + 9 = 7 + 9 = 16

b) p - s = 7 - (-4) = 7 + 4 = 13

c) r - q = 10 - (-6) = 16

d)q + 52 = -6 + 52 = 46

e) pqr = 7 X (-6) X 10 = -630

f) r + 8 = 10 + 8 = 18

g) pq + r = 7 X (-6) + 10 = -42 + 10 = -32

h) r - qs = 10 - (10 X (-4))= 10 + 40 = 50

i) 3r + 6q = 3 X 10 + 6 X (-6) = 30 - 36 = -6

j) 59 - 3p = 59 - 3 X 7 = 59 - 21 = 38

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l) 4q + 85 = 4 x (-6) + 85 = -24 + 85 = 61

4 0
4 years ago
Read 2 more answers
Please asnerw this pic attached below
mamaluj [8]

Answer:

x = 30

Step-by-step explanation:

Look at triangle LMN.

m<NLM + m<M + m<MNL = 180

90 + m<M + 45 = 180

m<M = 45

Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

<ONM is an exterior angle of triangle KMN.

The remote interior angles are <K and <M.

m<K + m<M = m<ONM

2x + 45 = 105

2x = 60

x = 30

Answer: x = 30

8 0
3 years ago
2x+30=5x+9 Solve for x<br> O 6<br> 0 -7<br> O -6<br> What’s the answer please?
Maksim231197 [3]

Answer:

7

Step-by-step explanation:

get the x on the same side.

subtract 2x from both sides

30=3x+9

then get the variables on one side by themselves. subtract 9 from both sides.

21=3x

now divide by 3 on both sides.

there's your answer.

4 0
3 years ago
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Need the anwser asap
KiRa [710]

Answer:

The third option.

Step-by-step explanation:

It is the third option because it is subtracting by 2 each time.

Hope this helps!

If not, I am sorry.

3 0
2 years ago
Which of these statements is true?
Ivanshal [37]

Answer:

any translation can be replaced by a rotation

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3 years ago
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