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kap26 [50]
3 years ago
5

The measure of an angle is nine times the measure of its complement. find the measure of each angle.

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
Two angles are complementary when they add up to 90 degrees<span> 

</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9°  ← smaller angle

larger angle = 9x = 9 * 9 = 81°

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From the top of a tree, a bird looks down on a field mouse at an angle of depression of 50°. if the field mouse is 40 meters fro
Elis [28]

Answer:

c. 47.7 m

Step-by-step explanation:

If you draw a right triangle to represent the problem, the catheti are the vertical distance from the bird's eyes to the field mouse and the separation from the field mouse to the base of the tree. The  50° of depression is measured from the horizontal in clockwise, the angle that summed with the 50° of the depression can be called α. Then:

 α+50=90

 α=90-50=40°

The trigonometric function than relates te two catheti with the angle α is:

tan(α)=opposite/adjacent

tan40=40/x

x=40/tan40=40/0.8390=47.7m

4 0
3 years ago
Write the equation of a line that is parallel to y = 1/2 x + 5
kumpel [21]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

<em>m</em> = 1/2

y = 1/2x + b

Step 2: Find <em>b</em>

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

3 0
3 years ago
Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
Anna71 [15]

Answer:

The answer is 20s+10h=500

Step-by-step explanation:

The reason is because 20 times 20=400 and then 10 times 10= 100 then you add those together and get $500

8 0
2 years ago
Find the product of (x + 5)2
tatuchka [14]
You distribute the problem as shown;
2(x+5) 2 times x+2 times 5=2x+10
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5 0
3 years ago
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Troyanec [42]

Answer: x=20/3=6.67

Step-by-step explanation:

To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.

-----------------------------------------------------------------------------

Given

x:10=9:6

Cross Multiply

9·x=6·10

9x=60

Divide 9 on both sides

9x/9=60/9

x=20/3=6.67

Hope this helps!! :)

Please let me know if you have any questions

4 0
3 years ago
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