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7nadin3 [17]
3 years ago
6

In addition to the facts in the diagram, which other statements are necessary to prove that ∆ABC is congruent to ∆EFG by the ASA

criterion?
i. m∠B = m∠F
ii. BC = FG
iii. m∠A = m∠E
iv. FG = 3
v. m∠B = m∠E
A.
iii or v only
B.
i and iii only
C.
i or iv only
D.
i only
Mathematics
2 answers:
insens350 [35]3 years ago
8 0

It should be B because you have to have 2 angles to know for sure.

umka21 [38]3 years ago
5 0

Answer:

B. i and iii only

Step-by-step explanation:

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find the difference between the sum of all eight positive intergral divisors of 66 and the sum of all eight positive integral di
katrin [286]

The difference between the sum of all eight positive integral divisors of 66 and the sum of all eight positive integral divisors of 70 is zero.

<h3>How to find the difference between the integral divisors?</h3>

First let's find the integral divisors. We can write 66 as a product of prime numbers as:

66 = 33*2 = 2*3*11

Then the integral divisors of 66 are:

2

3

11

2*3 = 6

2*11 = 22

3*11 = 33

1 (trivially)

66 (trivially)

The sum gives:

2 + 3 + 11 + 6 + 22 +33 + 1 + 66 = 144

For 70 we have:

70 = 7*10 = 2*5*7

Then the integral divisors are:

1

70

2

5

7

2*5 = 10

2*7 = 14

5*7 = 35

The sum gives:

1 + 70 + 2 +5 + 7 + 10 + 14 + 35 = 144

Then the difference between these two sums is:

144 - 144 = 0

If you want to learn more about integral divisors:

brainly.com/question/4785696

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7 0
1 year ago
Please help ASAP. I really need this it is almost due. Please give me the right answer.
IceJOKER [234]
A and D
Put 3 in the equations and solve
5 0
3 years ago
What is the value of the 1 in 178
Igoryamba
The value of 1 in 178 is 100 since it is in the hundreds place.  The value of 7 in 178 is 70 and the value of 8 in 178 is 8.  The hundreds place carries numbers from 1 to 9.  Once you get to 10, you add a digit to the number such that you now have four total numbers and the first digit is in the thousands place.
3 0
3 years ago
Evaluate each trigonometric equation for θ.
liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

  • Sin(x) = opposite/hypotenuse
  • Cos(x) = adjacent/hypoteouse
  • Tan(x) = opposite/adjacent
  • Csc(x) = hypotenuse/opposit
  • Sec(x) = hypotenues/adjacent
  • Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

Hypotenuse = \sqrt{8^{2}+15^{2}  }

Hypotenuse = \sqrt{64+225}

Hypotenuse = \sqrt{289}

Hypotenuse = 17

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0
3 years ago
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

8 0
3 years ago
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