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3 years ago

6

If the length of AC equals 50, what is the length of the midsegment DE?

1 answer:

balu736 [363]3 years ago

3 0

Answer:

25

Step-by-step explanation:

The mid-segment of the triangle is always parallel to the base and is half the length of the base

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An explanation would be appreciated! Will mark BRAINLIEST for best answer! #3

Bad White [126]

Answer:8:24

Step-by-step explanation:

So since it is 1:3 and 2 dozen is 24 so 24 divided by 3 = 8 so now it’s 8:24

5 0

4 years ago

A store manager paid $95 for an item and set the selling price at $116.85. What was the percent markup?

Neporo4naja [7]

We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.

We will use percent increase formula to solve our given problem.

$\text{Percent increase}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}\times 100\%$

$\text{Percent increase}=\frac{\$116.85-\$95}{\$95}\times 100\%$

$\text{Percent increase}=\frac{\$21.85}{\$95}\times 100\%$

$\text{Percent increase}=0.23\times 100\%$

$\text{Percent increase}=23\%$

Therefore, the mark-up will be 23% and option 'b' is the correct choice.

6 0

3 years ago

Which decimal is equivalent to 122/11

IgorLugansk [536]

$\dfrac{122}{11}=11.090909\ldots=11.\overline{09}\approx11.09$

3 0

3 years ago

For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

3 years ago

What is the solution to this inequality x-7<1

Nina [5.8K]

X−7<1

Add 7 to both sides.

x−7+7<1+7

x<8

To plot this on a number line, put a circle around 8 and a line going to the left with an arrow at the end.

8 0

4 years ago

Read 2 more answers