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3 years ago

What is YZ ? Enter your answer as a decimal in the box.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

4 0

The length of YZ is 12.2

Explanation:

From the figure, it is obvious that the triangles XVW and ZYW are similar.

Since, the triangles are similar, then their sides are also proportional.

Also, given that the sides VY = YW and XZ = ZW which implies that XW = 2XZ = 2ZW.

Thus, we have,

$\frac{24.4}{YZ} =\frac{XW}{ZW}$

Since, XW = 2ZW.

Substituting, we have,

$\frac{24.4}{YZ} =\frac{2ZW}{ZW}$

Simplifying, we get,

$\frac{24.4}{YZ} =2$

$\frac{24.4}{2} =YZ$

Dividing, we get,

$12.2=YZ$

Thus, the length of YZ is 12.2

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8 0

3 years ago

Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h

galben [10]

Pablo can ride his bicycle with speed of 18 miles per hour

Solution:

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,

We have to find how fast can Pablo ride his bicycle?

The formula for speed is given as:

$\text { distance }=\text { speed } \times \text { time }$

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

In case of Pablo:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}$

In case of Pedro:

$\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}$

Then, equate both (1) and (2)

$\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}$

Now, substitute t = 2 in (2)

$\begin{array}{l}{\rightarrow 72=2 n \times 2} \\\\ {\rightarrow 72=4 n} \\\\ {\rightarrow n=18}\end{array}$

Hence, the speed of Pablo is 18 miles per hour.

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3 years ago

A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half

uysha [10]

<h2>D. This is an experiment with blocking </h2><h2 />

For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half

of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To

determine who listens and who does not, the teacher identifies the two students who scored highest on the last test

and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-

scoring students and continues in this manner until each student has their instructions. Which of the following best

describes this plan?"

The answer is D

4 0

3 years ago

Are 11:17 an 17:11 equivalent

lisabon 2012 [21]

No they are not equivalent

5 0

3 years ago

Read 2 more answers

Which is the simplified form of the expression?

Anon25 [30]

Given:

Consider the given expression is:

$10n-\dfrac{1}{3}(9n-12)$

To find:

The simplified form of the given expression.

Solution:

We have,

$10n-\dfrac{1}{3}(9n-12)$

Using distributive property, it can be written as:

$=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)$

$=10n-3n+4$

$=7n+4$

Therefore, the correct option is A.

4 0

3 years ago