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BartSMP [9]
3 years ago
6

What is x given ABC~DBE. Show your work

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

x = 37.5 (or) \frac{75}{2}

Solution:

Given \triangle A B C \sim \triangle D B E

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$\frac{BE}{BC} =\frac{DE}{AC}

$\frac{x}{25+x} =\frac{30}{50}

Do cross multiplication, we get

50x=30(25+x)

50x=750+30x

Subtract 30x from both sides of the equation.

20x=750

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) \frac{75}{2}

Hence the value of x is 37.5 or \frac{75}{2}.

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Two factory plants are making TV panels. Yesterday, Plant A produced 6000 panels. Seven percent of the panels from Plant A and 2
azamat

Answer:

1% of 4000 + 4% of B = 2% of (4000 + B)

40 + 0.04*B = 0.02( 4000 + B)

40 + 0.04* B = 80 + 0.02*B

40 + 0.04*B - 80 - 0.02B = 0

0.02*B - 40 = 0

0.02*B = 40

2B = 4000

B = 2000

Step-by-step explanation:

7 0
2 years ago
The graph of which function has an axis of symmetry at x=3?​
iragen [17]

Answer:

A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12

Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

3 = -b/2(1)

3 = -b/2

6 = -b

b = -6

Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.

5 0
3 years ago
Read 2 more answers
Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a
kumpel [21]
Well what you would do is you would first subtract 45 from 325 (325-45) and that would become 280. Then you would divide that number by 8 (the cost of the T-shirt)(280/8) and then your answer would be 35. So the maximum number of T-shirts she will be able to buy is 38. Hope this will help you!
8 0
3 years ago
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What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=
melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive  and if the raw score is below the mean the z sore is negative. It is given by:

z=\frac{x-\mu}{\sigma}

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2

For 12.5 inches:

z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0
3 years ago
(25–a)÷7=3 i need help and fast!
Vikentia [17]

the variable a would be 4

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3 years ago
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