D
Mark brainliest please
Hope this helps you
8 and 4 are corresponding angles
1 Simplify \frac{14}{30}
30
14
to \frac{7}{15}
15
7
.
\frac{7}{15}\div 14.00
15
7
÷14.00
2 Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷
c
b
=a×
b
c
.
\frac{7}{15}\times \frac{1}{14.00}
15
7
×
14.00
1
3 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
\frac{7\times 1}{15\times 14.00}
15×14.00
7×1
4 Simplify 7\times 17×1 to 77.
\frac{7}{15\times 14.00}
15×14.00
7
5 Simplify 15\times 14.0015×14.00 to 210210.
\frac{7}{210}
210
7
6 Simplify.
1/30
Answer:
∠ RQS = 138°
Step-by-step explanation:
Since PR and PS are tangents to the circle, then
∠ QRP = ∠ QSP = 90°
The sum of the interior angles of PRQS = 360°
Subtract the sum of the interior angles from 360° for ∠ RQS
∠ RQS = 360° - (90 + 90 + 42)° = 360° - 222° = 138°
This is the number of combinations of 4 from 12
12C4 = 12!
----------
4! 8!
= 12*11*10*9 11*5*9 = 495
-------------- =
4*3*2*1
