All categories

3 years ago

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

Answer:

The measures of the angles would be 107.5 and 72.5.

Step-by-step explanation:

The angles should up to 180 degrees.

You can make two equations to solve it:

x+y=180

x-y=35

You add both of the equations.

2x = 215

X = 107.5

Y = 72.5

Leona [35]3 years ago

4 0

Answer:

angle 1: 72.5°

angle 2: 107.5°

Step-by-step explanation:

x + y = 180

x - y = 35 ===> x = 35 + y

Substitution to find angle y:

x + y = 180

(35 + y) + y = 180

35 + 2y = 180

2y = 145

y = 72.5

Substitution to find angle x:

x = 35 + y

x = 35 + (72.5)

x = 107.5

You might be interested in

if a ball is rolling down hill and accelerating at a rate of 2m/s^2 because of a 2N net force. What is the mass of the ball?

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

According to Newton's second law

Force = mass * acceleration

Given

Force = 2N

acceleration = 2m/s^2

Mass =Force/Acceleration

Mass = 2/2

Mass =1kg

Hence the mass of the ball is 1kg

8 0

2 years ago

Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker pri

ZanzabumX [31]

Answer: Dao will pay $ 15,219.2

Step-by-step explanation:

Hi, to answer this question we have to multiply the price of the automobile by the percentage discount in decimal form (divided 100)

18,560 (18/100) = 18,560 (0.18) = $ 3,340.8 (discount amount)

Finally, we have to subtract the discount amount to the automobile's price:

18,560- 3,340.8 =$ 15,219.2

Dao will pay $ 15,219.2.

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Read 2 more answers

3X+4Y=-8 -9X-12Y=-10

Yuliya22 [10]

X=−4/3y+−8/3
and
x=−4/3y+10/9

7 0

3 years ago

If the equation y = 1/6(x + 12) were graphed in the xy-plane, which of the following statements would be true of the graphed lin

oksano4ka [1.4K]

The answer would be B it would be parallel to the graph of 12y = 2x + 3

3 0

3 years ago

Someone please help me answer this!!

steposvetlana [31]

Answer:

10 units is the answer.

Step-by-step explanation:

points are (-3,2) and (-9,-6)

Pythagorean theorem can be written as,

$d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10$

∴ distance between the points = 10 units

4 0

3 years ago