Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
We'll be assuming this is with simple interest.
now, a year has 12 months, thus in 18 months there are 18/12 years.
Any dilation (by a factor not 1) will result in a non-congruent image.
Selections 1, 2, 3, and 5 involve dilations, so they "apply."
Answer:
Answer:
m=7
Step-by-step explanation:
1 blue jar = 16 marbles
1 blue jar = 2 red jars
Therefor
16 marbles= 2 red jars
(Now let m=1 red jar)
16= 2m
(Then sine we have 2m dived both sides by 2 to isolate the m)
16/2= 2m/2
8=m
Step-by-step explanation:
Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is
It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is
Therefore the area of the parallelogram is 55 square unit.