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mojhsa [17]
3 years ago
5

Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing stateme

nt (if any) that is a part of your proof or related to it.
Given: ∠CDE ≅ ∠CED, ∠A ≅ ∠B, Prove: DE ∥ AB

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

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There are 5 red marbles, 2 Green marbles and 3 black marbles. What is the probability that red or black is chosen?(answer in dec
ANEK [815]

Answer:

.8

Step-by-step explanation:

5 red marbles, 2 Green marbles and 3 black marbles = 10 marbles

P (red or black) = number of red or black/ total

                          = (5+3)/10

                          =8/10

   decimal form  = .8

5 0
3 years ago
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3 years ago
Identify the independent and dependent quantity in each situation. The cost of a long distance telephone call increases with the
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8 0
3 years ago
A spherical balloon was inflated such that it had a diameter of 24 centimeters. Additional helium was then added to the balloon
DanielleElmas [232]
To solve this we are going to use the formula for the volume of a sphere: V= \frac{4}{3}  \pi r^3
where 
r is the radius of the sphere 

Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm, r= \frac{24}{2} =12. Lets replace that in our formula: 
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (12)^3
V=7238.23 cm^3

Now, the second diameter of our sphere is 36, so its radius will be: r= \frac{36}{2} =18. Lets replace that value in our formula one more time:
V= \frac{4}{3} \pi r^3
V= \frac{4}{3} \pi (18)^3
V=24429.02

To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=24429.02cm^3-7238.23cm^3=17190.79cm^3

We can conclude that the volume of additional helium in the balloon is approximately <span>17,194 cm³.</span>
8 0
3 years ago
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