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Kisachek [45]
3 years ago
13

You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

  1. 33°
  2. 90° -J°

Step-by-step explanation:

<h3>1)</h3>

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

  x +24 = 90 -x

  2x = 66 . . . . . add x-24

  x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

__

<h3>2)</h3>

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.

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Mr. Granville needs some plywood that is about three over four-inch thick. Which plywood is closest to three over four-inch thic
Makovka662 [10]

Answer:

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

Step-by-step explanation:

we have

3/4 in

Verify each value

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3/4 in=12/16 in ----> multiply by (4/4)

Find the difference

13/16-12/16=1/16 in

case B) 11/32 in

we know that

3/4 in=24/32 in ----> multiply by (8/8)

Find the difference

24/32-11/32==13/32 in

case C) 1/2 in

we know that

1/2 in=2/4 in ----> multiply by (2/2)

Find the difference

3/4-2/4=1/4 in

case D) 3/8 in

we know that

3/4 in=6/8 in ----> multiply by (2/2)

Find the difference

6/8-3/8=3/8 in

<em>Compare the values of the difference and find the less value</em>

we have

case A) 1/16=2/32 in

case B) 13/32 in

case C) 1/4=8/32 in

case D) 3/8=12/32 in

The less value is case A) 2/32 in

therefore

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

4 0
3 years ago
A representative from each of seven nations is to sit at a round table to discuss trade relations. How many ways can the represe
Sidana [21]
The correct answer is 720. Just turned it in and got a 100. Good luck and hoped this help ya.
7 0
3 years ago
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iragen [17]
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7 0
3 years ago
Can anyone please help me with this ?
djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5\sqrt{2} feet

The Height of the Skyscraper is 5 feet

Step-by-step explanation:

Given

Let Top point of building be point C

Also Let Base of the building be point  B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB =\frac{AB}{BC}

∴ AB= BC =5 feet

The Height of the Skyscraper is 5 feet

Now Triangle ABC is right angle triangle with right angled at B

So by Pythagoras theorem

AC= \sqrt{AB^2+BC^2}=\sqrt{5^2+5^2} =\sqrt{50} =\sqrt{25\times2} =\sqrt{5^2\times2}=5\sqrt{2}

The distance from point A to the top of the building is 5\sqrt{2} feet

5 0
3 years ago
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HELP PLEASE EQUATION OF PARABOLA
Masteriza [31]

It has a minimum value at x = 3 and f(x) = 4

Vertex form is

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From the graph when x = 5 f(x) = 15, so

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a = 15-4/4 = 11/4

so our equation is f(x) = 11/4(x - 3)^2 + 4

6 0
3 years ago
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