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Firdavs [7]
2 years ago
10

In UVW, UV IXY. Given that WU= 35, WX= 15, and WY= 18, find WV.

Mathematics
1 answer:
olchik [2.2K]2 years ago
3 0

Answer:

WV = 42

Step-by-step explanation:

Δ UVW and Δ XYW are similar ( by the AA postulate ) , then the ratios of corresponding sides are in proportion, that is

\frac{WV}{WY} = \frac{WU}{WX} ( substitute values )

\frac{WV}{18} = \frac{35}{15} ( cross- multiply )

15 WV = 630 ( divide both sides by 15 )

WV = 42

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Find the exact value of x
Galina-37 [17]

Answer:

8.94 (Rounded would be 9)

Step-by-step explanation:

By using the Pythagorean Theorem formula,

A^2+B^2 = C^2

You have the hypotenuse (c)  = 12

and you have a leg (a) = 8

and you're trying to find another leg (b) = x

In order to find this, you'll have to change up the formula in order to find (B) instead of (C)

B^2 = C^2 - A^2

(B) = (12)^2 - (8)^2

(B) = 144 - 64

(B) = 80

Square root of 80

B = 8.9

5 0
2 years ago
Read 2 more answers
Base of a prism is a right triangle with legs 3 feet and 4 feet. The height is 13 feet , what is the volume?
julsineya [31]

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

4 0
2 years ago
William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d
ira [324]
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
4 0
3 years ago
A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke
defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253     Eqn 1

5x+10y=1595     Eqn 2

Multiplying Eqn 1 by 5

5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330

Dividing both sides by 5

\frac{5y}{5}=\frac{330}{5}\\y=66

Putting y=66 in Eqn 1

x+66=253\\x=253-66\\x=187

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

5 0
3 years ago
Find the volume of the rectangular
Kobotan [32]

Answer:

Hope this will help you

Step-by-step explanation:

volume \: of \: rectangular \: prism = l \times b \times h \\  = 0.6 ft\times 0.8 ft\times 3.8ft \\  = 1.824 {ft}^{3}

4 0
2 years ago
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