*see attachement for diagram
Answer:
∠P = 140°; ∠S = 40°
Step-by-step explanation:
The figure given is a parallelogram.
Consecutive angles (adjacent angles) of a parallelogram are supplementary.
Therefore:
(x + 15)° + (6x - 10)° = 180°
Solve for x
x + 15 + 6x - 10 = 180
Add like terms
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25
✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)
m<P = 6x - 10
Plug in the value of x
m<P = 6(25) - 10 = 140°
✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)
m<S = x + 15 = 25 + 15 = 40°
<u><em>Answer:</em></u>
y = 23
<u><em>Step-by-step explanation:</em></u>
Add the numbers:
18 + 5 - y
= 23 - y
Rearrange terms:
y = 23
Answer:
yes
Step-by-step explanation:
Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
Step-by-step explanation:
Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:
P(A)∩P(B)
thus from the example, independent events will be:
P(blue)=70%, P(green)=30%, P(blue and green)=21%
Because:
P(blue)∩P(green)=0.7×0.3=0.21=21%