Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
<u>GIVEN :-</u>
- ∠QPS = 180°
- ∠QPR = 7x + 88
- ∠RPS = 3x + 12
<u>TO FIND :-</u>
- Value of x
- Measure of ∠RPS
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
<u>PROCEDURE :-</u>
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°
Answer:
Step-by-step explanation:
4x + 6 + 3x + 21 = 8x + 7
7x + 27 = 8x + 7
-x + 27 = 7
-x = -20
x = 20
m<3= 8(20) + 7
160 + 7 = 167
m<1= 4(20) + 6 = 80 + 6 = 86
m<2= 3(20) + 21 = 60 + 21 = 81
Answer:
b = 3
Step-by-step explanation:
Substitute the y- coordinate 15 into the equation , that is
15 = 5x ( divide both sides by 5 )
3 = x
This is the x- coordinate of the point , so b = 3
<em>The result can be shown in both exact and decimal forms.
</em>
<em>Exact Form:
</em>
<em>4
e
+
21
</em>
<em>Decimal Form:
</em>
<em>31.87312731
…</em>
Thanks,
<em>Deku ❤</em>
Answer:
1017.8
Step-by-step explanation:
the area of the circle is A = pi r^2