Find the length of ad in the diagram shown
2 answers:
Let as consider two triangles ABE and ACD
As we can see these two triangles ABE and ACD are similar triangles
Hence the ratio of sides must be equal
So
Now let AE = x
So plugging all the values we get
AB= 5 , AC= 11 , AE =x , AD = x+9
Cross multiplying we get
5(x+9) = 11(x)
Simplifying
5x +45 = 11x
Subtract 5x from both sides
45 = 6x
Divide both sides by 6
x= 45/6 = 7.5
Hence AE = 7.5
But we have to find the length of AD
AD = AE+ED = 7.5 + 9 = 16.5
AD= 16.5
Option D is the answer
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Given:
Total amount for investment = $32000
Rate of interest for Stock A = 4%
Rate of interest for Stock B = 7%
Jim is hoping to earn $2,000 in interest.
To find:
The amount of investments in Stock A and Stock B.
Step-by-step explanation:
Let amount of investments in Stock A = $x
Amount of investments in Stock B = $y
Total amount for investment = $32000
...(i)
Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.
...(ii)
From (i) and (ii), we get
Divide both sides by -0.03.
Put x=8000 in (i).
Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.
Answer: Mural height: 22ft and the Mural width is 10ft
Step-by-step explanation: I took the test and got it wrong, but they told me the correct answers after I took the test. (I got to K-12) Proof:
Answer:
12.5%
Step-by-step explanation:
First we need to calculate the change in the area of Terry's room this is
108 ft2 - 96 ft2 = 12 ft2
Then we use a direct proportion in order to find the percentage
96 ft2 ----- 100%
12 ft2 ----- p?
Solvin for p we have that
p=12.5