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2 years ago

3. In the figure below, E is on AD and C is on BD. The dimensions given are in meters. What is the length, in meters, of CD?

Mathematics

1 answer:

damaskus [11]2 years ago

7 0

Answer:

C. 3,960

Step-by-step explanation:

∆ADB ~ ∆EDC. Therefore,

$\frac{AB}{EC} = \frac{DB}{DC}$

$\frac{2,000}{1,200} = \frac{2,640 + x}{x}$ (substitution)

Solve for x

$\frac{5}{3} = \frac{2,640 + x}{x}$

Cross multiply

$5*x = 3(2,640 + x)$

$5x = 7,920 + 3x$

5x - 3x = 7,920

2x = 7,920

x = 7,920/2

x = 3,960 meters

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asambeis [7]

Answer:

Step-by-step explanation:

55/5 = 11

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2 years ago

Explain your answer!! <br><br> Will give brainlst

Novosadov [1.4K]

• So we know that.....

x represent bags of snack and y is bottles of water.

This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

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Water Bottle: $1.00

And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items

—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
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_______
11 - y = x —> so x is equal to 11 minus y.

—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

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20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
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—— ——— (Divide both side by -1.50)
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ANSWER:

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3 years ago

What is the recursive formula for -7,-1,5,11

Lostsunrise [7]

-1 - (-7) = 6
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The common difference is 6.
If you add 6 to a term, you get the next term.

$a_0 = -7$

$a_n = a_{n - 1} + 6$

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3 years ago

Find the measures of the numbered angles in the kite.

Dafna11 [192]

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

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3 years ago

Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th

den301095 [7]

Answer:

The equation would be $30=12+9x$ .

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

$30 = 3\times4 +9x\\\\30=12+9x$

Hence The equation would be $30=12+9x$

Solving above equation we get;

$9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs$

Hence Allen will Run for 2 hours.

8 0

3 years ago