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svlad2 [7]
2 years ago
8

9. Pentagon ASDFG is translated 4 units to the right and 5 units down to make pentagon A'S'D'F'G'. Which rule

Mathematics
1 answer:
Ludmilka [50]2 years ago
6 0
B is the answer to the question
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Which reason justifies step 2 in the proof
tigry1 [53]
<h3>Answer: C. If two lines are parallel, then the alternate interior angles formed are congruent.</h3>

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

6 0
3 years ago
Jay needs 19 quarts more for outside of barn uses 107 quarts in all how many gal will be used on inside
Jet001 [13]

Answer:

This equation belongs to One variable linear equation  because there is one variable = x and the exponent number is one

solving equations :

x= 44 quarts

3 0
3 years ago
What is the difference between 1/2 and 1 whole?
Travka [436]
1/2 is half of a whole

whole= 1/1. 2/2, 3/3, 4/4 and so on

1/2 are numbers that can be simplify to halves= 1/2, 2/4, 3/6, 4/8, 5/10 and 1/2 are half of the denominator
4 0
2 years ago
Read 2 more answers
Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte
Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time(T_{1})=4 years

Time(T_{2})=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

S.I=\frac{P\times R\times T}{100}

S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years  when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

A=P*(1+\frac{R}{100})^t

A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60

A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years  when interest is compounded annually=$ 9034(approx)

4 0
2 years ago
Read 2 more answers
Martha has driven about 2/3 the distance she needs to go to reach her aunt's house. Her brother Jackson is making the same trip
Harman [31]
The answer is A. Martha has a shorter distance left to get to the aunt’s house than Jackson since 2/3 is .667 or 67%. Therefore this statement is false
5 0
2 years ago
Read 2 more answers
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