Answer:
a. x = 7
b. x = 36/5
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
<u>a). To find the value of x</u>
From the figure 1 we get two similar triangles, ΔABC and ADE
We can write,
AB/AD = AC/AE
3/6 = x/(x + 7)
3(x + 7) = 6 * x
3x + 21 = 6x
6x - 3x = 21
3x = 21
x = 21/3 = 7
<u>b). To find the value of x</u>
From the figure b we get
ΔABC ~ ΔEDF
AB/DE = BC/DF
4/5 = x/9
x = (4 * 9)/5 = 36/5
The top of the flag pole touched the ground 12 feet from the base.
Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed. The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground. The missing side is the horizontal leg, which we will call b:
9²+b²=15²
81+b²=225
Subtract 81 from both sides:
81+b²-81=225-81
b²=144
Take the square root of both sides:
√b²=√144
b=12
Answer:
can you send a pic of it please
Step-by-step explanation:
Hence the correct final answer is:
Further explanation:
Given
The student made the mistake in line two. There was no need to move 4 in the first term, from numerator to denominator
The correct line 2 will be:
Hence the correct final answer is:
Keywords: Fractions, exponents
Learn more about exponents at:
#learnwithBrainly
Answer:
40m
Step-by-step explanation:
(7m+<u>2</u>+3m+<u>5</u>+7m-<u>2</u>+3m-<u>5</u>+7m-<u>2</u>+3m+<u>5</u>+7m+<u>2</u>+3m-<u>5</u>)
40m+0
40m
