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3 years ago

6

If AABC ~ AAVW, find the values of x and y.

1 answer:

sergey [27]3 years ago

3 0

Answer:

<em>x</em>=28, <em>y</em>=12

Step-by-step explanation:

The squiggly symbol? This means the shapes/angles are congruent, meaning that if you rotated them around, they would match.

x's match runs along the same line as it's match, and same goes for y's. Imagine rotating around the lower triangle and lining it up with the upper triangle.

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A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.

dimulka [17.4K]

A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = $\frac{-30+ \sqrt{900+40000} }{2}= \frac{-30+202.24}{2} = 86.12$
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000

6 0

3 years ago

After sales tax, an $81 cell phone costs $84.24. What is the sales tax percentage?

Igoryamba

Answer:

4% sales tax

Step-by-step explanation:

Take the original costs and subtract it from the price after sales tax.

$84.24-$81= $3.24

Divide 3.24 by 81

this gives you .04, now either multiply by 100 or move the decimal two places to the right to convert the decimal to a percentage.

4 0

2 years ago

The Candy Shack sells 138 pounds of candy on Tuesday. They sold 71.76 pounds of jelly beans. What percent of the candy sold was

Pepsi [2]

<u>Answer:</u>

<h2>52% were jelly beans!</h2>

<u>Explanation</u><u>:</u>

<em>Cross </em><em>multiply </em><em>the </em><em>following:</em>

<em> $\frac{x}{100} = \frac{71.76}{138}$ </em>

<em>x </em><em>times </em><em>1</em><em>3</em><em>8</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>8</em><em>x</em>

<em>100 </em><em>times </em><em>7</em><em>1</em><em>.</em><em>7</em><em>6</em><em> </em><em>=</em><em> </em><em>7</em><em>,</em><em>1</em><em>7</em><em>6</em>

<em>Divide </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>3</em><em>8</em><em>:</em>

<em> $\frac{138x}{138} = \frac{7176}{138}$ </em>

<h3><em>x </em><em>=</em><em> </em><em>5</em><em>2</em><em>%</em></h3>

6 0

3 years ago

Read 2 more answers

(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

2 years ago

What is the length of the arc on a circle with radius 21 in intercepted by a 25° angle? Round your answer to the nearest tenth.

Lana71 [14]

Answer:

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ is the central angle formed at the center of the circle.

r represents the radius of the circle.

π represents a constant whose value is 3.14

From the information given,

r = 21 inches

θ = 25 degrees

Length of arc formed = 25/360 × 2 × 3.14 × 21 = 9.2 inches,

8 0

3 years ago

Read 2 more answers