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SashulF [63]
1 year ago
9

Give the appropriate theorem or postulate that can

Mathematics
1 answer:
Ratling [72]1 year ago
8 0

Answer:

Step-by-step explanation:

<ACB = <ECD    

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

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The number of students enrolled at a college is 14,000 and grows ​6% each year.
BigorU [14]

Answer:

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3 0
3 years ago
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Find the amount of each payment to be made into a sinking fund which earns 9​% compounded quarterly and produces ​$43 comma 000
Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

n = number of compounding (3.5 × 4) = 14

Now put the values into formula :

43000 = A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]

43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})

43000=A(\frac{(1.0225)^{14}-1}{0.0225})

43000=A(\frac{0.365483427}{0.0225})

43,000 = A(16.243708)

A = \frac{43000}{16.243708}

A = $2,647.17883 ≈ $2647.18

5 0
3 years ago
Can someone help please!!
d1i1m1o1n [39]

Answer:

75.39 in^2 (round to the nearest hundreds)

Step-by-step explanation:

I think that we have to find the lateral area

circumference = 2 x radius x pi = 2 x 4 x pi = 25,13 in^2 (round to the nearest hundreds)

lateral surface = (circumference x slant height)/2 = (25,13 x 6)/2 = 75,39 in^2 (round to the nearest hundreds)

3 0
3 years ago
In a certain college, 37% of the physics majors belong to ethnic minorities. Find the probability that, from a random sample of
VLD [36.1K]

The answer is 95.4525 percent because you would use an equation

n!/(r!(n-r)! x (P)^x * (1-P)^(n-x)

Plug in the number correspondingly

N= 10

R= 1 , 2 , 3 , 4 , 5 , 6 (You will have to do each individual, if you have a Ti-nspire calculator however there is a built program called binomialcdf.

P= .37

x = r

After plugging this is the achieved answer is 95.4525

(.0578 + .1529 + .2394 + .2461 + .1734 + .0849) x 100

additive may be a little off due to rounding.

6 0
3 years ago
Divide £ 45 among 3 person so that their share are in the ratio 4:5:6
NISA [10]

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

6 0
2 years ago
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