All categories

3 years ago

30 Points!!Need Help Please!!! Will give Brainliest!!!

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Since DC = 12, then EF also = 12.

Both AD and BC are indicated to be the same .

So AE = (24 - 12) / 2 = 12/2 = 6

Now you have a right triangle with height DE = 8 and base AE = 6

Using the Pythagorean Theorem we can now find AD:

AD = √(8^2 + 6^2)

AD = √(64 + 36)

AD =√100

AD = 10

You might be interested in

Cual es la simplificacion de 66/81

Karo-lina-s [1.5K]

Answer:

Hence the simplification of $\dfrac{66}{81}$ is $\dfrac{22}{27}$

Step-by-step explanation:

" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter),

for example: Simplification of a fraction to an irreducible fraction ".

Here we are given a fraction as:

$\dfrac{66}{81}$

As both the numerator and denominator are divisible by a factor of 3 hence we take out the common factor and obtain the reduced fraction which is further irreducible.

As 66=3×22 and 81=3×27

Hence $\dfrac{66}{81}=\dfrac{3\times22}{3\times27}=\dfrac{22}{27}$

Hence the simplification of $\dfrac{66}{81}$ is $\dfrac{22}{27}$

8 0

3 years ago

Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x -

viktelen [127]

Answer:

$y=11,600x+6,000$

Yearly sales in 1990: $98,800.

Step-by-step explanation:

We have been given that the sales of a certain appliance dealer can be approximated by a straight line. Sales were $6000 in 1982 and $ 64,000 in 1987.

If at 1982, $x=0$ then at 1987 x will be 5.

Now, we have two points (0,6000) and (5,64000).

$\text{Slope}=\frac{64,000-6,000}{5-0}$

$\text{Slope}=\frac{58,000}{5}$

$\text{Slope}=11,600$

Now, we will represent this information in slope-intercept form of equation.

$y=mx+b$ , where,

m = Slope,

b = Initial value or y-intercept.

We have been given that at $x=0$ , the value of y is 6,000, so it will be y-intercept.

Substitute values:

$y=11,600x+6,000$

Therefore, the equation $S=11,600x+6,000$ represents yearly sales.

Now, we will find difference between 1990 and 1982.

$1990-1982=8$

To find yearly sales in 1990, we will substitute $x=8$ in the equation.

$S=11,600(8)+6,000$

$S=92,800+6,000$

$S=98,800$

Therefore, the yearly sales in 1990 would be $98,800.

6 0

3 years ago

This is quadratic equations Help asap!!

lord [1]

Answer:

x = - 3 ± $\sqrt{2}$

Step-by-step explanation:

x² + 6x + 7 = 0 ( subtract 7 from both sides )

x² + 6x = - 7

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 7 + 9

(x + 3)² = 2 ( take square root of both sides )

x + 3 = ± $\sqrt{2}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{2}$

3 0

2 years ago

Solve for f: 6f + 9g = 3g + f

lozanna [386]

Hi there!

Let's solve this equation step by step!
6f + 9g = 3g + f

To solve for f, we need to bring all the terms in the equation with an f in it to the left, and all the other terms (with a g) to the right.

First subtract f from both sides.
5f + 9g = 3g

Now subtract 9g from both sides.
5f = -6g

And finally divide both sides by 5.
f = (-6/5)g

Hence, your answer;
$f = - \frac{6}{5} g$

~ Hope this helps you!

6 0

3 years ago

Read 2 more answers

lily swims a 100-meter race. she swims the first half in 27.8 seconds. she swims the second half in 30.12 seconds. how long does

Luden [163]

we know that

1) Lily swims a $100$ -meter race