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Softa [21]
3 years ago
14

Write a paragraph proof.

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0
It is given that line segment BC is congruent to line segment EC and that line segment AC is congruent to DC. Because of the vertical angles theorem, angle BCA is equal to angle DCE. Therefore, triangles CBA AND DEC are congruent by SAS. Using CPCTC, BA is equal to ED.
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If $3,000,000 is invested at 6% interest compounded continuously, how much
g100num [7]

Answer:

  $24,498,509.74

Step-by-step explanation:

The formula for the value as a function of time is ...

  V(t) = P·e^(rt)

Filling in the numbers and doing the arithmetic, we have ...

  V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74

Compounded continuously for 35 years, the investment will be worth $24,498,509.74.

3 0
4 years ago
A survey of the readers of three daily news papers; Nation, standard and Kenya times showed the following results. i) A total of
daser333 [38]
N(N ∩ S ∩ K) = 10
n(ξ) = 250
n(S ∪ K) = 15 - 10 = 5
n(N ∪ S) = 20 - 10 = 10
n(N ∪ K) = 30 - 10 = 20
n(S) = 50 - 10 - 5 - 10 = 25
n(K) = 55 - 20 - 5 - 10 = 20
n(N) = 100 - 10 - 20 - 10 = 60

n(N ∪ S ∪ K) = 10 + 5 + 10 + 20 + 25 + 20 + 60 = 150

Therefore, n(N ∪ S ∪ K)' = 250 - 150 = 100

Therefore, 100 million people do not read any of the three papers.
7 0
3 years ago
At a baseball game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number
Eddi Din [679]

Answer:

64 sodas and 32 hot dogs

Step-by-step explanation:

192 divide by 2 = 96. 96 divide by 3 = 32. 32 +32 =64 because there was 2 times as many sodas sold.64 +32=96.

8 0
3 years ago
Hal and Renee play the following game a bag has 11 tiles in it each with a letter from the word probably in it Hal and Renee tak
Masteriza [31]

Answer:

  • <em>D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter </em>

Explanation:

The word is not probably, which has 8 letters, but probability, which has 11 letters

<u>1. Hal</u>

Probability of drawing a vowel

  • The vowels are:  o, a, i, i, and y: 5

  • The total number of letters in the bag is 11.

  • Probability of vowel = 5 / 11

<u>2. Renee</u>

Probability of drawing a consonant

  • The consonants are: p, r, b, b, l, t, and y: 7

  • Probability of a drawing a consonant: 7 /11

<h2>Conclusion</h2>

As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,

  • The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.

8 0
4 years ago
Which equation represents an inverse variation?
Sphinxa [80]

Answer: Choice C) y = 30/x

Inverse variation equations are of the form y = k/x. In this case, k = 30. We can rearrange the format to get x*y = k after multiplying both sides by x. So y = 30/x can be turned into x*y = 30.

7 0
3 years ago
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