3b+2(b-1) = 8
3b+2b-2 = 8
5b = 8+2
5b = 10
b = 2
Answer:
Correct option is D. No, since the ratios of the corresponding sides are not proportional.
Step-by-step explanation:
Please refer to the attached figure
Let height of coach represents by AB = 6 feet
And shadow of coach represents by BC = 4 feet
Let height of goal post represents by DE = x feet
And Shadow of goal post represents by EF = 12 feet.
Since measurement of shadows are at same time. therefore ratio of height of coach and height of goal post must be same as ratio of shadow of coach and shadow of goal post.
⇒ 6/x = 4/12
⇒x = 72/4 = 18 feet
So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.
Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.
Answer:
2
Step-by-step explanation:
Identify the coordinates as x1, y1 and x1, y2. Solve by using the formula of slope(gradient)
Let the digit in the tens place be x
tens place = x (therefore the value is 10x)
ones place = x + 7
The number is 10x + x + 7
Add 26 to it
10x + x + 7 + 26 = 11x + 33
It is 5 times the sum of the digit
11x + 33 = 5(x + x + 7)
11x 33 = 10x + 35
x = 2
x+ 7 = 2 + 7 = 9
So the number is 29
The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
Learn more about scaling at:
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