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Alona [7]
3 years ago
5

In the next three questions, complete the proof of Theorem 31 (Opposite angles of a parallelogram are congruent.) by selecting t

he best reason or statement.

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Answer:

see attached figure

Step-by-step explanation:

table completed.  See figure

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Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc
Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0
3 years ago
Simplify:<br> 2/3 divided by 3 3/4
Nat2105 [25]

Answer:

\frac{8}{45}

Step-by-step explanation:

convert mixed number to improper fractions

3\frac{3}{4} =\frac{15}{4}

\frac{\frac{2}{3} }{\frac{15}{4} }

apply the fraction rule:

\frac{2 * 4}{3 * 15}

multiply the numbers

\frac{8}{45}

3 0
1 year ago
Tim has been trying to lose weight. Through exercise, he was able to lose 5 pounds over 2 weeks. However, Mary lost 10 times as
wolverine [178]
I think 50 pounds. I am not sure.
7 0
3 years ago
Read 2 more answers
F(x)=x^+4x+2 what is the average rate of change from x=3 to x=5
mars1129 [50]

Answer:

12

Step-by-step explanation:

f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.

f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23

f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34

f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47

Now, let's find the rate of change.

34 - 23 = 11

47 - 34 = 13

Finally, the average rate of change.

(11 + 13) / 2 = 12

8 0
3 years ago
50 grams/centimeters= kilograms/meters
Lubov Fominskaja [6]

Answer:

50 grams to kilos is 0.05

50 centimeters to meters is 0.5

4 0
3 years ago
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