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marin [14]
3 years ago
10

Solve for x using the given diagram

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

\dfrac{8x}{10}=\dfrac{4}{5x}              <em>cross multiply</em>

(8x)(5x)=(4)(10)

40x^2=40           <em>divide both sides by 40</em>

x^2=1\to x=\sqrt1\\\\x=1

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Solving a right triangle (ROUND TO THE NEAREST TENTH)
Kay [80]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

--------------------------------------------------------------

sin40° = \frac{opposite}{hypotenuse} = \frac{a}{21}

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

--------------------------------------------------------------

cos40° = \frac{adjacent}{hypotenuse} = \frac{b}{21}

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

3 0
4 years ago
Evaluate 2p - 3r + t for p = 10, <br> r = -4 and t = 5. <br><br> 13<br> 37<br> 8
Ghella [55]

Answer:

<h2>37</h2>

Step-by-step explanation:

2p - 3r + t

p = 10

r = -4

t = 5

Substitute values into the given equation

2(10) - 3( - 4) + 5

Simplify

20 + 12 + 5 \\  \\  = 37

8 0
3 years ago
Ratios that are equivalent to 3:12
dexar [7]

Answer:

12:48

1:4

4:16

5:20

10:40

11:44

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3 0
3 years ago
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Solve the equation<br> x/2.1=4.1/3.5​
Dmitriy789 [7]

Answer:

2.46

Step-by-step explanation:

Cross multiply again

Hope this helps!

6 0
3 years ago
Read 2 more answers
Morita works in a florist shop and makes flower arrangements. She puts 10 flowers in each vase and 2/10 of the flowers are daisi
Delvig [45]
First, find how many flowers are in 4 arrangements: 10*4=40

You can set this up as a proportion:
²/₁₀ = x/₄₀



You can also just multiply 2 daisies by 4 arrangements.


8 daisies
8 0
3 years ago
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