The value of x in the triangle is 9.3
<h3>How to find the side x of a triangle?</h3>
The side x of a triangle can be found as follows:
The triangle ABC is similar to triangle ADE.
Therefore, corresponding sides of similar triangles are in the same ratios.
Hence,
7 / 13 = x / x + 8
cross multiply
7(x + 8) = 13x
7x + 56 = 13x
subtract 7x from both sides of the equation
7x - 7x + 56 = 13x - 7x
56 = 6x
divide both sides by 6
x = 56 / 6
x = 9.33333333333
x = 9.3
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Answer:
1560
Step-by-step explanation:
First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10
Next, 3/(1/4) = 3(4) = 12
Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13
This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.
Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8
A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64
(195/8)/(1/64) = (195/8)(64) = 1560 cubes.
Answer C : 3x^2+7xy-2y^2
equivalent to the following expression
Combine like terms
2x^2 + x^2 is 3x^2
4xy+3xy is 7xy
-y^2-y^2 is -2y^2
So expression becomes
Answer C is correct
Answer:
20 feet
Step-by-step explanation:
Remember the Pythagorean theorem,
x^2 + y^2 = n^2
in this case
x= 16
y = 12
so substitute back into the equation
16^2 + 12^2 = n^2
256 + 144 = n^2
400 = n^2
sqrt ( 400) = n
20 = n
Using proportions, it is found that the thickness of the icing between the layers, in inches, is of:
E 1 inch
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, there are six layers, each measuring 1.25 inches tall, hence the height of these layers is:
6 x 1.25 = 7.5 inches
Then the height of the icing between the layers is of:
13.5 - 7.5 = 6 inches
Six layers, hence each icing is of:
6/6 = 1 inch
More can be learned about proportions at brainly.com/question/24372153
