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jok3333 [9.3K]
2 years ago
10

Which of the following theorems proves that abc~def?

Mathematics
1 answer:
GaryK [48]2 years ago
8 0

Answer:

D but read below.

Step-by-step explanation:

I take it that the symbol ~ stands for similar. If that is so, then the answer you want is AA, because if 2 angles in a triangle are equal, then all 3 are. So if any 2 equal angles in one triangle are equal to 2 angles in another, then the two triangles are similar.

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1,030 at 4% compounded semiannually for 2 years
kotegsom [21]

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

A= P(1+\frac{r}{n})^{nt}  \\

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

A= 1030(1+\frac{.04}{2})^{(2)(2)}  \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125

This rounds up to $1114.91

6 0
2 years ago
A snail travels at a rate of 2.36 feet per minute. a. Write a rule to describe the function. b. How far will the snail travel in
Andreyy89
Y = 2.36x....where y is the distance traveled and x is the number of minutes

how far will the snail travel in 6 minutes...so sub in 6 for x
y = 2.36(6)
y = 14.16 ft <==
6 0
3 years ago
Which of the following is the inverse of y = 12 Superscript x? y = log Subscript one-twelfth Baseline x y = log Subscript 12 Bas
wariber [46]

Answer:

y = lnx/ln12

Step-by-step explanation:

Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:

Given y = 12^x

Taking ln of both sides

ln y = ln 12^x

ln y = xln12

Divide both sides by ln12

lny/ln12 = xln12/ln12

x = lny/ln12

x = ln(y-12)

Replacing y with x and x with y

The inverse of the function will be:

y = lnx/ln12

3 0
2 years ago
Two brothers, richard and andrew, share a sum £30 in the ratio 3:7. how much does each brother get?
Elina [12.6K]

Answer:

£9,£21

Step-by-step explanation:

richard:andrew=3:7

3+7=10

£30÷10=£3

richard=3×£3=£9

andrew=7×£3=£21

5 0
2 years ago
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PLEASE HELP ASAP!!<br><br> Solve the equation<br><br> |x−7|=8
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here you go -brainliest

6 0
3 years ago
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