9514 1404 393
Answer:
A: ∠W'Z'Y' = 60°; angles aren't changed by rotation
B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)
Step-by-step explanation:
<u>Part A</u>:
Angle WZY is the supplement of the given angle ZWX, so is ...
∠WZY = 180° -120° = 60°
Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...
∠W'Z'Y' = 60°
__
<u>Part B</u>:
The transformation right 2 and up 3 can be described by ...
(x, y) ⇒ (x +2, y +3)
Then the translated vertices are ...
W(-5, 3) ⇒ W'(-3, 6)
X(7, 3) ⇒ X'(9, 6)
Y(6, -2) ⇒ Y'(8, 1)
Z(-6, -2) ⇒ Z'(-4, 1)
Answer:
D) 65°
Step-by-step explanation:
Remember, all the angles of a triangle are 180 degrees and 75 + 40 + 65 = 180 degrees. Please if you can, support my channel. In the images you can find the information ;)
Answer:
Step-by-step explanation:
Answer:
1.31182795699
Step-by-step explanation:
1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.
2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14
Therefore, the oldest age Catie's brother can be is 14 years old.
3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11
The youngest age Julio can be is 11 years old.