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madam [21]
3 years ago
14

What value of X guarantees that BC || DE?

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

4

Step-by-step explanation:

as BC║DE

so, AD:BD=AE:CE

   or, CE=(BDₓAE)/AD

   or, x=(5×16)/20=4

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It snowed 200 centimeters in one week how much did it snow in meters
asambeis [7]
2 meters b/c 100 cm = 1 m
6 0
3 years ago
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A sample of 500 nursing applications included 60 from menThe 95% confidence interval of the true proportion of men who applied t
Dafna1 [17]

Answer:

The correct solution is "(0.092, 0.148)".

Step-by-step explanation:

Given:

Sample size,

n = 500

True proportion,

\hat {p} = \frac{60}{500}

  =0.12

The standard error will be:

SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }

     =\sqrt{\frac{0.12(1-0.12)}{500} }

     =\frac{0.12(0.88)}{500}

The confidence interval is "1.96".

hence,

The required confidence interval will be:

= (\hat p - 1.96 SE, \hat p + 1.96 SE)

By substituting the values, we get

= (0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} }  )

= (0.092, 0.148)

8 0
4 years ago
In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
ankoles [38]
<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

3 0
3 years ago
HELP ASAP
marta [7]

Answer:

Vertical compression implies that you multiply the function by a scalar or constant.

---> (1/3)*f(x)

Translating up means you are adding to the y-value or shifting the graph up.

----> f(x) + 2

Put it together and you get:

g(x)=1/3f(x)+2

Now replace f(x) with 6x

g(x)=1/3(6x)+2=2x+2

Or

given: f(x)=6x

transformations: vertical compression of 1/3, translation of 2 units up.

g(x) = 1/3 f (x)

remember: f(x) = 6x

6/3 = 2

so, g(x) = 2(x)

now add 2 since you are transitioning up

your answer is: g(x) = 2(x)+2

4 0
4 years ago
5x3-x+ 9x7 +4 +3x11<br> decending order
denis-greek [22]

5x3-x+ 9x7 +4 +3x11

Answer:

115-X

Explanation:

First you multiply the 5x3

<u>15</u>-X+9x7+4+3x11

then the 9x7

15-X+<u>63</u>+4+3x11

then the 3x11

15-x+63+4+<u>33</u>

Now once you have completed the multiplication step you move on to <u>calculating the sum.</u> (Adding all the positive numbers)

<u>15</u>-x<u>+64+4+33</u>

115-x

7 0
3 years ago
Read 2 more answers
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