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Kay [80]
3 years ago
13

I need to know how to find x

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

x = \frac{20}{3}

Step-by-step explanation:

ΔABC and ΔEDC are similar triangles ( AA ), hence the ratios of corresponding sides are equal, that is

\frac{AB}{ED} = \frac{BC}{DC}, substitute values

\frac{x}{4} = \frac{5}{3} ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = \frac{20}{3}

You might be interested in
Select two ratios that are equivalent to 2 : 9.
White raven [17]

Answer:

B & C

Step-by-step explanation:

2:9 can also be written as 2/9

A. 9:2 is just the reciprocal of 2:9 so it is not equivalent to it

B. 18:81 is 2×9:9×9 meaning that is equivalent to 2:9

C: 12:54 is 2×6: 9×6 so it is equivalent to 2:9

Since the two correct answers have already been found, I don't need to explain more.

Hope this helped!!!

3 0
3 years ago
nA car dealer who sells only late-model luxury cars recently hired a new salesperson and believes that this salesperson is selli
7nadin3 [17]

Answer:

The value of an appropriate test statistic for the car dealer to use is -4.

Step-by-step explanation:

The null hypothesis is:

H_{0} = 4600

The alternate hypotesis is:

H_{1} < 4600

The test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem:

X = 4100, \mu = 4600, \sigma = 500, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{4100 - 4600}{\frac{500}{\sqrt{16}}}

t = -4

The value of an appropriate test statistic for the car dealer to use is -4.

8 0
3 years ago
write the general form of the equation of a line that is parallel to the given line and passes through the given point. y+2= -(x
OleMash [197]

Answer:

y = -x + 4

Step-by-step explanation:

y + 2 = -x - 1

y = - x - 1 - 2

y = -x - 3

Point: (-2,6)

Slope -1

y-intercept: 6 - (-1)(-2)

= 6- 2 = 4

5 0
3 years ago
Write 84000 in standard form
emmasim [6.3K]
<span>When you write a number in expanded form you show how much each digit values, according its place in the number. For example, in the number 123, 3 values 3, 2 values 2*10 = 20 and 1 values 1*100 = 100, so the expanded form is 100 + 20 + 3. Using this with 84,000, you have the 8 is in the place of ten thousands, 4 is in the place of one thousand, 0 is in the place of hundreeds, 0 is in the place of tens, and 0 is in the place of units. So, the expanded form is: 80,000 + 4000. </span>
7 0
3 years ago
What number is 22% of 320? <br><br>        A. 7040   B. 70.4   C. 704   D. 7.04
Olegator [25]
22% of 320 = n
22% × 320 = n
0.22 × 320 = n
(22% = \frac{22}{100} = 0.22)
70.4 = n 

22% of 320 = 70.5

Answer is B. 70.4
5 0
3 years ago
Read 2 more answers
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