Answer:
x = 4 for Lines U and V to be parallel
<u>Skills needed: HS Geo, Angle Theorems, Equations</u>
Step-by-step explanation:
1) We see that there are two angle measures given to us. There is an angle marked with the measure of 
°, and the other is marked with (
)°.
- First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea.
- If 2 lines are parallel, alternate interior angles are congruent. This means that:
2) Solving this equation is fairly straightforward.
(add 2 to both sides in order to get the 
by itself. 
(to get 
by itself)- 132 divided by 33 is 4, and 33x divided by 33 is x, so
--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.
Step-by-step explanation:
The angle of incidence is equal to the angle of reflection.
So if the total angle ROQ = i+r = 124. The angle of reflection, r must be half of this = 62.
Angle POK is a right angle, so to find angle ROK, we do 90-62 = 28
Answer:
d = 6
Step-by-step explanation:
multiply -3 by both things in equation
6 = 3d -12
6 + 12 = 18 ÷ 3 = 6
Brian bought 4 pairs of shorts. so x equals four.
to get the answer you subtract 10 from 30 which gives you 20, then you divide 20 by 5, which gives you four.
Hope this helps :)
Answer:
x = 5 and y= 15
Step-by-step explanation:
3x + 2y = 45
4x - y = 5 (multiple both sides by 2)
or
3x + 2y = 45
8x - 2y = 10
--------------------( add side with side)
11x + 0 = 55
or x= 55/11 = 5
replace x =5 into 4x - y = 5 we have 4*5 - y = 5
20 - y = 5 or y = 20- 5= 15
So x = 5 and y= 15
Have a good day
