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agasfer [191]
2 years ago
8

Line AC and line DB intersect at point P. Solve for angle BPQ.

Mathematics
1 answer:
taurus [48]2 years ago
8 0

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

     - 12    -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

           (52 + 12)°

            64°

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Firlakuza [10]

For the given triangle, the value of x equals 30.9892 units.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.

To determine the value of x, we determine the value of the tan of the given triangle.

To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.

tan A = \frac{oppositeside}{adjacent side}.

Step 2:

The length of the opposite side = 26 units.

The length of the adjacent side = x units.

tan A = \frac{oppositeside}{adjacent side}, tan 40 = 0.8390, tan A = \frac{26}{x} .

0.8390 = \frac{26}{x} , x = \frac{26}{0.8390} = 30.9892.

So x measures 30.9892 units.

6 0
3 years ago
Which answer BEST describes the solution for x if – 3 < x + 4 ≤ 7?
Mama L [17]
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8 0
3 years ago
Read 2 more answers
An insurance agent receives 16% commission on every premium paid. how much commission is paid on a policy with a premium of $497
a_sh-v [17]

Answer:

  $79.63

Step-by-step explanation:

You can figure this by estimating. 16% is a little less than 20%, which is 1/5. $497.69 is almost $500. So, 1/5 of that is almost $100, and a little less than that is about $80. The closest answer choice is $79.63.

__

If you want to figure it exactly, you can do the multiplication ...

  16% of $497.69 = 0.16 × $497.69 = $79.6304 ≈ $79.63

5 0
3 years ago
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nasty-shy [4]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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Which number is larger 2/5 or 3/4
Natali5045456 [20]
2/5 = 8/20
3/4= 15/20

Therefore, 3/4 is larger than 2/5~
5 0
3 years ago
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