10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
If Jana has to walk 2 blocks north to get to Kyle's home, then 3 blocks south to get to school, this means that she has just retraced the 2 blocks she walked to get to Kyle's home.
So the school is just 1 block south of Jana's home.
Answer:
4
Step-by-step explanation:
-2 + 6 = 4
Answer: 24
Step-by-step explanation: Height × width × length
Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = 
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal =
= 9.4inches
The diagonal of the box is 9.4inches