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babunello [35]
1 year ago
15

How do I find the value of X?? The answer choices are:

Mathematics
1 answer:
romanna [79]1 year ago
4 0

Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm

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Volume of a cone = r²h,
inessss [21]

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

6 0
1 year ago
 Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended war
tiny-mole [99]

Answer:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

Step-by-step explanation:

For this case we can set a linear model like this:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

8 0
3 years ago
$550 at 4% compounded daily for 13 years
vichka [17]

Answer:Sydney’s

Step-by-step explanation:

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5 0
3 years ago
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Short math problem giving brainly!
Zielflug [23.3K]

Answer:

It should be the second one

Step-by-step explanation:

4 0
2 years ago
Solve for y.
MariettaO [177]
5y = 135....divide both sides by 5
y = 135 / 5
y = 27 <==
7 0
3 years ago
Read 2 more answers
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