Answer:
The answer would be 150 degrees.
Step-by-step explanation:
When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.
Since angle A and B are alternate interior angles, you can now set the two equal to each other.
So, in order to find out what x equals, you have to set the two equations equal to each other.
8x-10=3x+90
Next, solve the new equation.
8x-10=3x+90
Add 10 to both sides.
8x=3x+100
Subtract 3x from both sides.
5x=100
Divide both sides by 5 and you'll get your answer.
x=20
Now that you know what x equals, you can substitute it into the equation for B.
<B= 3(20)+90
60+90= 150
<B=150 degrees
That gives you your answer of <B = 150 degrees.
To check your work you can also substitute x into the equation for <A.
<A= 8(20)-10
160-10= 150
<A=150 degrees.
Therefore, you have just proved that the answer is 150 degrees.
Answer:
congruent.
Step-by-step explanation:
each side and each angle in one polygon is paired with a side or angle in the second polygon .
hope this helps
Answer:
100
Step-by-step explanation:
Answer:
There is no points of intersection
Step-by-step explanation:
∵ The slope of line u = 4 - (-8)/5 - 9 = 12/-4 = -3
∴ Its equation is ⇒ y = -3x + c ⇒ use point (5 , 4) to get c
4 = -3(5) + c ⇒ c = 4 + 15 = 19
∴ The equation of u is ⇒y = -3x + 19
∵ The slope of line v = -7 - 2/7 - 4 = -9/3 = -3
∴ Its equation is ⇒ y = -3x + c ⇒ use point (4 , 2) to get c
2 = -3(4) + c ⇒ c = 2 + 12 = 14
∴ The equation of v is ⇒y = -3x + 14
∵ The slopes of them are equal and their y-intercepted are not equal
∴ Line u is parallel to line v
∴ There is no point of intersection
The answer to the question is .55. The line is a division sign, so all you need to do is divide the top number by the bottom number.
