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3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

notsponge [240]3 years ago

6 0

Answer:

Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.

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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

How much wrapping paper is needed to cover the gift box shown below?<br> SA = 2Lw + 2Lh + 2wh

Brrunno [24]

Answer:

528 square inches

Step-by-step explanation:

SA = 2(10·16) + 2(10·4) +2(4·16)

= 2(160)+2(40)+2(64)

= 320 + 80 + 128

= 528 square inches

8 0

3 years ago

Kevin is riding his bike on a 10 1/8 mile bike path. He has covered the first first 5 3/4 miles already. How many miles does he

Elis [28]

The answer is 4 and 3/8, because if you subtract 5 3/4 from 10 1/8, you'll get your answer: 4 3/8. Hope this helps, and good luck!!

4 0

3 years ago

Read 2 more answers

HELP ME PLZ ASAP 80 POINTS

KiRa [710]

Answer:

Slope:-1/3

y-intercept: (0,2)

x y

0 2

6 0

Hope this helps a little

5 0

3 years ago

39. Kate recorded the time it took six children of

scZoUnD [109]

Answer:

$y=-11x+261$

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Where $B(11,137)$ and $C(12,126)$

$m=\frac{126-137}{12-11}=-11$

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261$

Therefore, the line that best fits is $y=-11x+261$ approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.

4 0

3 years ago