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3 years ago

89 POINTS!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.

Mathematics

1 answer:

Sauron [17]3 years ago

3 0

Answer:

(Given m∠DCB = 105, m∠DAB = 75) m∠ADC=75, m∠AXY=105, m∠DYX=105, m∠BXY=75, m∠CYX=75, m∠ABC=105

Step-by-step explanation:

Definition of consecutive interior angles

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The value of a boat is $23,400. It loses 8% of its value every year. Find the approximate monthly percent decrease in value. Rou

Oduvanchick [21]

23400 x 8/100 = 1872 = the loss
1872 : 12 = 156= the loss each month
156/1872*100% = 8,33 % then round it

8 0

3 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

3 years ago

3m + 5 = 8 modeled by algebra tiles

Lesechka [4]

3m+5=8
subtract 5 from both sides
3m=3
divide both sides by 3
m=1

I hope I helped! :)

4 0

3 years ago

Read 2 more answers

What is the height of cone S?

balu736 [363]

Answer:

12 cm

Step-by-step explanation:

First, we find the scale factor from cone S to cone T.

ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8

The ratio of the volumes is 8:1

The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.

scale factor = cubic root of 8 = 2

The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.

4 0

3 years ago

Read 2 more answers

PLEASEEEE Write an expression that contains at least two terms and is in simplest form.

never [62]

The answer is 6m - 6 = 8m + 4

Hope this helps please give brainless!!!

7 0

3 years ago