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3 years ago

The pair of polygons is similar. find the value of x. answer on picture

Mathematics

2 answers:

tatyana61 [14]3 years ago

8 0

$30\ in - 75\ in\\ 12\ in - x\ in\\ \\ 30x=75\cdot 12\\
30x=900\ /:30\\
x=30\ in$

Y_Kistochka [10]3 years ago

6 0

30/75 = 12/x
30*x=75*12
30x=900/:30
x=30

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The sale price of a router is 35% Off the regular price. The sale price is 117$. What was the regular price ?

sladkih [1.3K]

Okay, the equation would be: What is 35% of $117

Proportion:

$\frac{x}{117}$ $\frac{35}{100}$

We multiply:

117 x 35 = 4095

Now we divide:

4095 / 100 = 40.95

Then we add:

40.95 + 117 = $157.95

and that's your answer!

I hope this helps! :)

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3 years ago

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A statement and portions of the flowchart proof are shown. Which reason should appear in box labeled 1?

larisa [96]

Answer:

Angle Addition Postulate

Step-by-step explanation:

Given:

$m\angle UVW=30^{\circ}\\ \\m\angle WVX=75^{\circ}$

Prove:

$m\angle UVX=105^{\circ}$

Proof:

1. $m\angle UVX=m\angle UVW+m\angle WVX$ - Angle Addition Postulate

2. $m\angle UVW=30^{\circ}$ - given

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4 years ago

A metalworker has a metal alloy that is 15% copper and another alloy that is 75% copper. How many kilograms of each alloy shou

lisov135 [29]

48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51% copper alloy

Solution:

Let "x" be the kilograms of 15 % copper

Then, (120 - x) be the kilograms of 75 % copper

Then, according to question,

"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51% copper alloy

Thus we frame a equation as:

15 % of x + 75 % of (120 - x) = 51 % of 120

Solve the equation for "x"

$15 \% \times x + 75 \% \times (120-x) = 51 \% \times 120\\\\\frac{15}{100} \times x + \frac{75}{100} \times (120-x) = \frac{51}{100} \times 120\\\\0.15x + 0.75(120-x) = 0.51 \times 120\\\\0.15x + 90 - 0.75x = 61.2\\\\0.6x = 90 - 61.2\\\\0.6x = 28.8\\\\Divide\ both\ sides\ by\ 0.6\\\\x = 48$

Thus 48 kilograms of 15 % copper used

Then, (120 - x) = (120 - 48) = 72

Thus, 72 kilograms of 75 % copper is used

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3 years ago