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3 years ago

The difference in the measures of two complementary angles is 12 degrees. find the measure of the angles?

2 answers:

6 0

If two angles are complementary, the sum of their measures is 90 degrees. Call one of the angles x. This means that its complement is 90 - x degrees. But the difference in their measures is 12 degrees.

AlladinOne [14]3 years ago

3 0

Answer:

51° and 39°

Step-by-step explanation:

Complementary angles are angles that add up to 90°

If we let one angle = x

Then the other angle is ( 90 - x)

Since the difference between the two angles is 12°

⇒ x - (90 - x) = 12

x - 90 + x = 12

2x -90 = 12

2x = 102

x = 102/2

x = 51°

So, one of the angle is 51°

The other angle = 90 - x = 90 - 51 = 39°

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Tomas buys a bag of 5 peaches for $3.55. Write and solve an equation to find how much money, m, Tomas paid for each peach

Orlov [11]

Answer:

Step-by-step explanation:

$3.55 ÷ 5 = .71 each peach

7 0

3 years ago

Write each fraction as a sum or difference 14-6x/19

Oksanka [162]

Given number : 14 - 6x / 19
So we need to write this fraction as a sum or difference.
First, simplify the given number:
=> 14 – 6x / 19
=> 14 x 19 – (6x)
 19
=> 266 – 6x
 19
=> 266 – 6x = -2 * (3x - 133)
Thus, the final result would be:
=> -2 * (3x - 133) => This will be the fraction sum or difference of the given number
 19

8 0

3 years ago

Honestly, I'm trying my best to solve this but my Math XL is being so rude.

Valentin [98]

<h3>Answer: 19</h3>

==============================================================

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

5 0

3 years ago

Read 2 more answers

Will give brainliest to correct answer! Given that cos Ф=-8/17 and sin Ф is negative, determine the value of tan Ф.

Kipish [7]

Answer: option 3 is the correct answer

Step-by-step explanation:

Let us look at the various trigonometric ratios

Sin Ф = opposite side/ hypotenuse

Cos Ф = adjacent side / hypotenuse

Tan Ф = opposite side / adjacent side

Therefore, tan Ф = sin Ф / cos Ф

This means that if cos Ф=-8/17 and sin Ф is negative, then the hypotenuse is negative

To determine the adjacent side, we will apply Pythagoras theorem

Hypotenuse ^2 = opposite ^2 + adjacent ^2

-17^2 = 8^2 + adjacent^2

adjacent^2 = 289 - 64 = 225

adjacent = √225 = 15

tan Ф = 8/15

5 0

3 years ago

Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through

MrMuchimi

Let's find slope first.

(1,-2)
(-8,6)

$\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}$

$\\ \sf\longmapsto m=\dfrac{8}{-9}$

Slope intercept form

$\\ \sf\longmapsto y=mx+b$

$\\ \sf\longmapsto y=-\dfrac{8}{9}x-2$

3 0

3 years ago