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3 years ago

If I was asked to think of a number and multiply it by 2, I could

Mathematics

1 answer:

LiRa [457]3 years ago

6 0

Answer:

3x+1

Step-by-step explanation:

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ABC with altitude \overline{BD}

just olya [345]

The length of $\overline{AC}$ is given by the relationship between the similar triangles

ΔABD and ΔBDC.

$\overline{AC}$ = <u>80</u>

Reasons:

The given parameters are;

The altitude of triangle ΔABD = $\overline {BD}$

The hypotenuse of formed right triangle = $\overline {AC}$

The length of AD = 8

Length of BD = 24

Whereby ΔABD is a right triangle

We have;

ΔABD is similar to ΔBDC

Therefore, by similar triangle proportional sides relationship, we have;

$\displaystyle \frac{\overline{AD}}{\overline{BD}} = \mathbf{ \frac{\overline{BD}}{\overline{DC}}}$

Which gives;

$\overline{BD}^2$ = $\mathbf{\overline{DC} \times \overline{AD}}$

Therefore;

$\displaystyle \overline{DC} = \mathbf{\frac{\overline{BD}^2}{\overline {AD}}}$

$\displaystyle \overline{DC} = \frac{24^2}{8} = \mathbf{72}$

$\overline{AC} = \overline{DC} + \overline{AD}$

Which gives;

$\overline{AC} = 72 + 8 =\mathbf{ 80}$

Learn more about similar triangles here:

brainly.com/question/4618367

8 0

2 years ago

Mala ran 30 laps in week one and will increase the number of laps she runs by 2 each week. Coby runs 16 laps in week one and wil

matrenka [14]

The equations are 30+2x and 16+5x. i plug random numbers into x until you fint the correct answer. the answer is 5.

7 0

3 years ago

Number sentences for these 4?

Murrr4er [49]

A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40

6 0

4 years ago

Assume a normal distribution and that the average phone call in a certain town lasted 4 min, with a standard deviation of 1 min.

olya-2409 [2.1K]

SOLUTION

The mean is 4min

standard deviation is 1min

the z score is

$z=\frac{x-\bar{x}}{\sigma}$

where

$\begin{gathered} x=3 \\ \bar{x}=4 \\ \sigma=1 \end{gathered}$

then we have

$\begin{gathered} z=\frac{3-4}{1}=\frac{-1}{1}=-1 \\ z=-1 \end{gathered}$

The probability the call lasted less than 3 min will be

Therefore, the probability that (z < -1 ) is

[tex]\begin{gathered} Pr(z<-1)=Pr(0Hence, the percentage of the calls that lasted less than 3 min is 16%

4 0

1 year ago

Solve each equation and check to make sure both solutions work<br> 2|5x-3|+10=4

Ede4ka [16]

If your just looking for x then x=2

7 0

4 years ago