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Shtirlitz [24]
3 years ago
6

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

Mathematics
2 answers:
8090 [49]3 years ago
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]
<span>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
=> <u>14 x 19 – (6x</u>)
            19
=> <u>266 – 6x</u>
         19
=> 266 – 6x = -2 * (3x - 133)
Thus, the final result would be:
=> <u>-2 * (3x - 133) </u> => This will be the fraction sum or difference of the given number<u>
</u>               19

</span>



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
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