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3 years ago

If angle one measures 108 degrees, what is the measure of angle 3?

Mathematics

1 answer:

inna [77]3 years ago

8 0

Answer:

Step-by-step explanation:

∠2= ∠1 { vertically opposite angles}

m,n are parallel lines and a is transverse.

So, ∠3 = ∠2 {corresponding angles}

∠3 = 108

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Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you pla

Alja [10]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

$\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m$

So, the base of the ladder is 2.58 m.

8 0

2 years ago

A polygon has its vertices at the following points.

seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$

AB = $\sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

BC = |7-4| = 3

CD = $\sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}$

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0

2 years ago

Circle V is shown. Line segment T V is a radius with length 14 feet.

lawyer [7]

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

$A=\pi r^2$ , where r represents radius of circle.

Upon substituting $r=\text{14 ft}$ in above formula, we will get:

$A=\pi(14\text{ ft})^2$

$A=\pi(14)^2\text{ ft}^2$

$A=\pi\cdot 196\text{ ft}^2$

$A=196\pi\text{ ft}^2$

Therefore, the area of the circle V is $196\pi$ square feet and option 'c' is the correct choice.

5 0

2 years ago

In a recent 10-year period, the change in number of visitors to U.S national parks was about -11,150,000 visitors what is the ye

Debora [2.8K]

10 year ×12 months=120 months

11150000÷120=

That is the answer, sorry I am going out can't find the answer

4 0

2 years ago

Question 8 of 10

Levart [38]

Answer:

Step-by-step explanation:

Indicates leg lengths of 1 and√3 and hypotenuse 2, the desired ratio is √3/2

8 0

2 years ago