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soldi70 [24.7K]

3 years ago

11

A diagonal support beam is attached to the gate of a fence as shown. Which angles must be congruent in order for the top and bot

tom sides of the gate to be parallel?

1 answer:

statuscvo [17]3 years ago

5 0

Where is it shown? You need to attach a picture or something.

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AB and AC are tangent. Find AB

LuckyWell [14K]

Answer:

$AB = \frac{11}{2}$

Step-by-step explanation:

Given

The above diagram

$AB = 3y + 4$

$AC = 11y$

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

<em>This implies that</em>

$AB = AC$

Substitute values for AB and AC

$3y + 4 =11y$

Subtract 3y from both sides

$3y - 3y + 4 = 11y - 3y$

$4 = 8y$

Divide both sides by 8

$\frac{4}{8} = \frac{8y}{8}$

$\frac{4}{8} = y$

$\frac{1}{2} = y$

Substitute $\frac{1}{2}$ for y in $AB = 3y + 4$

$AB = 3 * \frac{1}{2} + 4$

$AB = \frac{3}{2} + 4$

$AB = \frac{3 + 8}{2}$

$AB = \frac{11}{2}$

8 0

2 years ago

X varies directly with y. If x is 24 when y is 36, find x when y is 132.

viktelen [127]

Step-by-step explanation:

x = ky, where k is a real constant.

When y = 36, x = 24.

=> (24) = k(36), k = 2/3.

Hence x = (2/3)y.

When y = 132, x = (2/3)(132) = 88.

6 0

3 years ago

Read 2 more answers

So what’s the easiest way to get the answer? 80 = 720 divided by?

kolezko [41]

Answer:

57,600

Step-by-step explanation:

720 * 80 = 57,600

8 0

2 years ago

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The area in square feet, inside a rectangle is given by the expression 1600 x? What is the value

Juli2301 [7.4K]

Answer:1375

Step-by-step explanation:

X= 15 is given

X squared is 15x15 = 225

1600 - 225= 1375

6 0

2 years ago

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A pipe gallon can pump 1,000 gallons of water in 4 hours, how long would it take for the pipe to fill a 2500 gallon pool?

almond37 [142]

You can divide 1000 by 4 then multiply a number to get 2500

1000/4= 250

250 x 10 = 2500

Answer: 10 hours

8 0

2 years ago