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2 years ago

So this set

Mathematics

1 answer:

Citrus2011 [14]2 years ago

8 0

To figure out if the sets are equivalent first you need to combine like terms if possible. Hope this picture helps.

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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

Can someone help me with this math homework please!

andrew11 [14]

Answer:

I'm pretty sure it is 0.75

Step-by-step explanation:

It is a3 so that means it is the 3rd answer in the sequence.

6 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!!!!!!!!!!!!!

3241004551 [841]

Answer:

C and D

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{60}{360}$

= 2π × 10 × $\frac{1}{6}$ = $\frac{20\pi }{6}$ = $\frac{10\pi }{3}$ cm → C

-----------------------------------------------------

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{60}{360}$

= π × 10² × $\frac{1}{6}$ = $\frac{100\pi }{6}$ = $\frac{50\pi }{3}$ cm² → D

6 0

2 years ago

Many do apply pls helpn

Ugo [173]

Answer:

a and b

Step-by-step explanation:

i think b i know a for sho

4 0

3 years ago

Read 2 more answers

Which phrase represents the algebraic expression 3p+6/7p-9

omeli [17]

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

7 0

3 years ago