Answer: For number 8, x=6. For number 9, x=7. For number 10, x=15
Step-by-step explanation:
#8:
Angle 16x-6 corresponds to the 90 degree angle. Therefore, they are equal.
16x-6=90
Add six: 16x=96
Divide by 16: x=6
#9
Angle 12x-4 and angle 10x+10 correspond. Therefore, they are equal.
12x-4=10x+10
Subtract 10x: 2x-4=10
Add four: 2x=14
Divide by 2: x=7
#10
Angles 7x and 5x+30 are alternate exterior angles. Therefore, they are equal.
7x=5x+30
Subtract 5x: 2x=30
Divide by 2: x=15
Answer:
100 cm.
Step-by-step explanation:
We have been given that a rectangle has a width of 10 centimeters. The rectangle's length is 4 times its width.
The length of rectangle would be .
We know that perimeter of rectangle is 2 times the sum of length and width of rectangle.
Therefore, the perimeter of our given rectangle would be 100 cm.
f(-2) = 0
f(0) = 2
f(0) = -2
A. √12
B. 6
C. 50/3
D. 19.44
The arc length, radius and the included angle are related as
where is in radians.
The radius is given by
Correct choice is (B).
b.70
c.100
d.5
Answer: d. 58
The height of the plant in June 1st is 58 centimeters.
Step-by-step explanation:
Given : On August 1st, a plant was 79 centimeters tall.
In June of that year it grew 12 centimeters, then 9 more centimeters in July.
Order of Month = June → July → August
Then , the height of the plant on June 1st would be
Height in August 1st - Height grew in June - height grew in July
= 79-12-9 centimeters
= 67-9 centimeters
= 58 centimeters
Therefore , the height of the plant in June 1st = 58 centimeters
Hence, the correct answer is d. 58