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3 years ago

HEY YA'LL 30 PTS FOR 1 PROBLEM! Given: m∠EYL=1/3 the measure of arc EHL Find: m∠EYL.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.

m<EYL = (1/2)(m(arc)EVL - m(arc)EHL) Eq. 1

The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.

m(arc)EVL + m(arc)EHL = 360

m(arc)EVL = 360 - m(arc)EHL Eq. 2

We are given this:

m<EYL = (1/3)m(arc)EHL Eq. 3

Substitute equations 2 and 3 into equation 1.

(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]

Now we have a single unknown, m(arc)EHL, so we solve for it.

2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]

2m(arc)EHL = 1080 - 6m(arc)EHL

8m(arc)EHL = 1080

m(arc)EHL = 135

Substitute the arc measure just found in Equation 3.

m<EYL = (1/3)m(arc)EHL

m<EYL = (1/3)(135)

m<EYL = 45

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Father to his first biological son true or false?

FromTheMoon [43]

Answer:

True

Step-by-step explanation:

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3 years ago

On another map the distance between saugerties and kingston is 2 inches. Whar would tge distance from saugerties to catskill be

Mariana [72]

The question is incomplete. The map is attached as a photo and here is the complete question:

a. What is the actual distance between Saugerties and

Kingston? ___________________________

b. Catskill is 15 miles from Saugerties. What would the

distance on the map be? ___________________________

c. On another map, the distance between Saugerties and

Kingston is 2 inches. What would the distance from Saugerties to

Catskill be on this map? __________________

Since you have asked the answer for part (c) only, here is the answer:

Answer:

The distance from Saugerties to Catskill would be 3 inches on this map.

Step-by-step explanation:

On the given map, the distance between Saugerties and Kingston is 4 inches and the scale is 1 inch = 2.5 miles.

To calculate the actual distance in miles between Saugerties and Kingston, consider the given scale:

1 inch ---------- 2.5 miles

4 inches ------ x miles

Cross multiplying:

1x = 2.5 x 4

x = 10 miles

The actual distance between Saugerties and Kingston is 10 miles.

On another map, the distance between Saugerties and Kingston is 2 inches. Which means the scale is 2 inches = 10 miles. So 1 inch = 10/2 = 5 miles

The scale on the other map is 1 inch = 5 miles.

Catskill is 15 miles from Saugerties (given in the previous part). So on the map:

1 inch -------- 5 miles

y inch ------- 15 miles

Cross multiplying:

15 = 5y

y = 15/5

y = 3 inches.

The distance from Saugerties to Catskill would be 3 inches on this map.

7 0

3 years ago

What is the sum _71/6 +35/6 in the simplest terms ? Show your work

adoni [48]

Answer:

The answer in simplest term is 35.33333334.

Step-by-step explanation:

First, we need to divide 71 and 6.

71/6 = 23.66666667.

Now we need to divide 35 and 6.

35/6 = 11.66666667.

Now we need to add the two quotients.

23.66666667 + 11.66666667 = 35.33333334.

And that is the final answer.

I hope this helps!

7 0

3 years ago

Help me plzz help me plzz

Alik [6]

Answer:

44.1 mm^2

Step-by-step explanation:

The formula for a trapezoid is 1/2(b1 + b2)h

A= 1/2(12.5 + 8.5) 4.2

= 1/2x21x4.2

=44.1

4 0

2 years ago

Select the correct answer. What is the definition of csc θ ?

OleMash [197]

Answer:

A. csc θ=1/sinθ

Step-by-step explanation:

From SOHCAHTOA,

sine = opposite/ hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:

Csc Ф = 1/ sinФ

8 0

3 years ago