Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Answer:
28 students
Step-by-step explanation:
Work backwards.
First, subtract 3:
115 - 3 = 112
Then, divide by 4:
112 ÷ 4 = 28
So, there are 28 math students in his class.
Answer:
1.5
Step-by-step explanation:
Quotient means division
-36/-4 + 9 = x
9 + 9 = x
18 = x
Answer:
- 3/5
Step-by-step explanation:
(y2-y1) / (x2-x1)
(6,0) & (1,3)
(3-0) / (1-6)
3/-5
- 3/5