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Nadya [2.5K]
3 years ago
8

PLEASE PLEASE HELP! If ABC is congruent to DEF by side side side triangle congruence, then angle B is congruent to angle E by wh

at?

Mathematics
1 answer:
anygoal [31]3 years ago
6 0
I believe your answer would be D.) because the triangles were already proven to be congruent
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PLEASE HELP!
Wittaler [7]

Answer:

See below

Step-by-step explanation:

Use the formulae directly

For a cone, with base radius = r and height = h, here are the related formula

\textrm{Slant height  l} = \sqrt{r^2 + h^2}  (1)

\textrm{Lateral surface area} = \pi r l

\textrm {Base area} = \pi r^2

\textrm { Total Surface Area SA} = \textrm{Base Area + Lateral Area} = \pi r^2 + \pi rl = \pi r(r + l) (2)

\textrm{Volume V = } (1/3)  \pi r^2h (3)

Therefore directly plugging in the numbers in the above equations:

Note:

l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm

Figure(a)

r = 4, h = 8

\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA}  = 4\pi(4 + 8.944) =  4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04

Figure(b)

r = 7, h =15

\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55

\textrm{SA}  = 7\pi(7 + 16.55) =  517.89

Figure (c)

r = 5, l = 8

h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA}  = 5\pi(5 + 8) =  204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5


6 0
2 years ago
I need a bit of help! I can't figure out how to convert this. Thank you so much!
Kitty [74]
7.72 Lbs/week

Hope this helps :) 
5 0
3 years ago
Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.
slavikrds [6]

Answer;

The answer is the second; log ₁₂1/4

Explanation;

From the laws of logarithms, given an expression in the form;

Log ₓ y, where x is the base and y is the number, we can apply the change of base formula to a logarithmic expression to get;

Log y/log x, which are to base 10

Thus; Log₁₂1/4 = log 1/4/ log 12

4 0
3 years ago
Read 2 more answers
Umm I don’t understand this question
antiseptic1488 [7]
What's 24 in it's so ole way? 6
what's 28 in it's simplest way?9
4 0
3 years ago
Read 2 more answers
Suppose a house costs $270,000 appreciates by 5% each year. In about how many years will the house be worth $350000?
Vikki [24]
350000 =  270000(1.05)^n

1.05)^n = 350000/270000 = 1.296296

n =  log 1.296296 / log 1.05 = 5.3 years answer
7 0
3 years ago
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