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Luden [163]
3 years ago
8

Find the measure of each acute angle.

Mathematics
2 answers:
crimeas [40]3 years ago
8 0

The 3 inside angles of a triangle need to equal 180 degrees.

This is a right triangle so the bottom left corner is 90 degrees.

This means the other two angles when added need to equal 180-90 = 90 degrees.

Now you have 8x + 7x = 90

Combine like terms:

15x = 90

Divide both sides by 15

X = 6

Now you have the value for x solve the two angles:

8x = 8(6) = 48

7x = 7(6) = 42

Top left = 48 degrees

Bottom right = 42 degrees

posledela3 years ago
5 0

Answer:

The measure of the top-left angle in the triangle is <u>4</u><u>8</u><u> </u><u>°</u> and the measure of the bottom-right angle is <u>4</u><u>2</u><u> </u>°.

Step-by-step explanation:

We know that , the sum of angles of triangle is 180 °.

And , It is the right triangle so, bottom left is 90 °.

8 x ° + 7 x ° + 90 ° = 180 °

15 x + 90 ° = 180 ° ..( combine like terms)

Subtract each side by 90°

15 x° + 90° - 90° = 180° - 90°

15 x° = 90 °

15 x° / 15 = 90 ° / 15 ..(Divide each side by 15°)

x° = 6 °.

Using value of x to finding the

  • The measure of the top left angle in the triangle is = 8 x° = 8 × 6 = <u>4</u><u>8</u><u> ° </u>.
  • The measures of the bottom right angle is = 7 x ° = 7 × 6 = <u>4</u><u>2</u><u> </u><u>°</u> .
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Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

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First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

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6 0
2 years ago
Find the missing side or angle.
bonufazy [111]

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{4}{Sin 18^{o} } = \frac{c}{Sin 152^{o} }

c = \frac{4* Sin 152^{o} }{Sin 18^{o} }

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3 0
3 years ago
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<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

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