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Feliz [49]
3 years ago
9

Justify your answer

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

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4.6666 is the weight

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3 years ago
X^2+y^2=169, 3x+2y=39 please answer using substitution and each step
Oksanka [162]

Answer:

x=13,y=0

Step-by-step explanation:

We are given a system of equations

{x}^{2}  +  {y}^{2}  = 169 -  - eqn \: 1 \\ 3x + 2y = 39 -  - eqn \: 2

For equation 1,square all terms to reduce it

√x²+√y²=169

x+y=13

Make x the subject as required by the question to use substitution method

x=13-y

Plug x=13-y into eqn 2

3(13-y)+2y=39

39-3y+2y=39

39-y=39

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Plug y=0 into equation 1

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2 years ago
Which Theroms can be used to determine that the triangles are congruent <br>​
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SAS

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6 0
3 years ago
A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallon
-Dominant- [34]
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2 years ago
Find the value of the expression (5-3) x 2+6
Assoli18 [71]

Answer:

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Step-by-step explanation:

Use order of operations,  PEMDAS.

The parentheses are worked out first:-

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Now the multiplication:-

= 4 + 6

= 10 (answer).

5 0
3 years ago
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