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3 years ago

What value of X guarantees that BC || DE?

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

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

Read 2 more answers

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

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)

115-x

7 0

3 years ago

Read 2 more answers