Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
- The sum of the three angles shown is a linear angle, with a measure of 180°.
This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Answer:
x = 30
Step-by-step explanation:
9-x/5=3
Subtract 9 from each side
9-9-x/5=3-9
-x/5 = -6
Multiply each side by -5
-x/5 *-5 = -6*-5
x = 30
Answer:
Yes
Step-by-step explanation:
for pens you are adding 3 each time
for boxes you are adding 1 each time
it is correct because they all have the same unit rate
3/1=3
6/2=3
9/3=3
12/4=3
x = 51.98
Step-by-step explanation:
tan 68 = opp/hyp = x/21
or
x = 21×tan68°
= 21(2.475)
= 51.98