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3 years ago

Find the length of AB. A. 2 B. 6 C. 21 D. 31

Mathematics

1 answer:

Allushta [10]3 years ago

4 0

<u>Answer </u>

AB=21

<u>Solution </u>

In the triangle ABC two lines are parallel to side AC.In a triangle a line passing through two side and it is parallel to third side,then this line divides two side in equal ratio.

Here we take any of the parallel line, passing through AB and AC, and parallel to BC.

So we can write, $\\$ $\frac{ 6x+2x+1}{2x}$ = $\frac{18+7.5}{6}$

8x+1=6x+2.5x

x=1/0.5

x=2

Therefore AB = 6x+2x+1+2x =10x+1=21

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2 years ago

Read 2 more answers

THEIR AGES

snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0

3 years ago

the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.

mestny [16]

Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.