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SpyIntel [72]
4 years ago
11

What is the angle supplementary to the angle measuring 165°12′?

Mathematics
2 answers:
kicyunya [14]4 years ago
3 0
<span>Two angles are supplementary if their sum is 180 degrees. One degree is made up of 60 minutes. So the angle supplementary to an angle measuring 165d12m is 180d - 165d12m, which gives us 14d48m. So the answer is C. </span>
masya89 [10]4 years ago
3 0

Answer:

Option C is correct.

14^{\circ}48' is the angle supplementary to the angle measuring 165^{\circ}12'

Step-by-step explanation:

To find the angle supplementary to the angle measuring 165^{\circ}12'

Let A be the angle supplementary to the angle measuring 165^{\circ}12'.

Supplementary Angles states that the two Angles are Supplementary when they add up to 180 degrees.

Use the conversion:

1 degree = 60 minute.

Then, we have the given angle 165^{\circ}12' = 165\frac{12}{60} =165\frac{1}{5} =165.2^{\circ}

Now, by definition of supplementary angle;

\angle A + 165.2^{\circ}= 180^{\circ}

Subtract 165.2 on both sides we get;

\angle A= 180^{\circ} - 165.2^{\circ} =14.8^{\circ} =14^{\circ}48'

Therefore, the angle supplementary to the angle measuring 165^{\circ}12' is, 14^{\circ}48'




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What is the measure of def 78° PLEASE HELP
Scorpion4ik [409]

Answer:

The measure of arc DEF is 204°

B is correct

Step-by-step explanation:

In a circle center at O.

∠DOF and ∠DEF are lie on same base but ∠DOF at center and ∠DEF on circle.

Thus, ∠DOF = 2 ∠DEF

minor ∠DOF = 2 x 78 = 156°

We need to find arc DEF.

DEF is central angle of major∠DOF

major∠DOF + minor ∠DOF = 360°     (Complete angle at center)

            major∠DOF  +  156° = 360°

                         major∠DOF = 204°

major∠DOF is arc DEF.

Hence, The measure of arc DEF is 204°

7 0
4 years ago
The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponen
dybincka [34]
One way is to subsitute the point (-1,5) for every function and see which one gives a true statement

5=10(2)^(-1) is true

5=10(0.5)^-1 is false

5=5(-1) is false

5=5(2)^-1 is false



answer is y=10(2)ˣ
6 0
4 years ago
Read 2 more answers
Someone help me please!
dalvyx [7]

Answer:

y = 4x + 8

Step-by-step explanation:

1) Find slope:

y2-y1/x2-x1

12-8/1-0 = 4/1 = 4

Slope = 4

2) Plug in a point in point-slope form

y-y1=m(x-x1)

y-8=4(x-0) =

y-8=4x-0 -> add 8 to both sides

y=4x+8

3 0
3 years ago
A flagpole is 20 feet tall is casting a shadow that is 8.2 feet long at what angle is the sun hitting the ground
Novay_Z [31]

Answer:

∅ = 67.71°

Step-by-step explanation:

The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.

The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.

using Tan

tan ∅ = opposite / adjacent

tan ∅ = 20/8.2

tan ∅ = 2.4390243902

∅ = tan⁻¹ 2.4390243902

∅ = 67.7063708403

∅ = 67.71°

7 0
3 years ago
alice Correa bought three yards of cloth to make a dress the cloth was on sale for 1.93 per yard how much did Alice pay for the
Gnoma [55]
<span>Alice Correa bought three yards of cloth to make a dress
The cloth was on sale for 1.93 per yard.
Now,  how much did Alice pay for the cloth if the sales tax was 5%.
Let’ solve for the answer
=> 3 yard of clothes were both.
=> Price of clothes are 1.93 dollars per yard
=> then another sales tax is added which is 5%
=> 3 yards * 1.93 dollars = 5.79 dollars
=> 5.79 dollars * .05 = 0.2895
=> 5.79 + 0.2895
=> 6.08 dollars.

</span>



8 0
3 years ago
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