Answer:
<OPQ = 23 degrees
Step-by-step explanation:
Given
Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)
Exterior angle = m<OPQ = (5x-2)
The sum of interior angles is equal to the exterior angle, that is;
m∠PNO+m∠NOP = m<OPQ
x+14 + x-1 = 5x-2
2x + 13 = 5x-2
Collect like terms;
2x-5x = -2-13
-3x = -15
x = 15/3
x = 5
Get <OPQ
<OPQ = 5x - 2
<OPQ = 5(5)- 2
<OPQ = 25-2
<OPQ = 23 degrees
This should be correct I am sorry if it is not.
<span>-0.01511422733</span>
Answer:
1. y=-5x+5
2. y=3x
3. the slope is 6 and the y-intercept is 7
Step-by-step explanation:
Answer:
answer A. 0.5
Step-by-step explanation:
hello
as A and B are independent P(B/A)=P(B) =0.5
in short, the information provided by the event A does not impact at all the event B. so knowing A or not does not impact the probability of B.
you can use the formula as well P(B/A)=P(A and B) / P(A)=(P(A)xP(B))/P(A)=P(B)
hope this helps
Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
