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vazorg [7]
3 years ago
5

Suppose RS is congruent to MN. For the set of lenghts solve for x and find the lenght of the segment.

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
         RS ≡ MN
  3x + 17 = 7x - 15
- 3x          - 3x
          17 = 4x - 15
       + 15        + 15
          32 = 4x
           4      4
            8 = w
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Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons
loris [4]

Answer:

3 gallons

Step-by-step explanation:

If two gallons of paint covers 800 square feet, 'x' gallons of paints will cover 1200square feet room where x is the number of gallons needed to paint the 1200 square feet room.

Mathematically,

2 gallons = 800sq.ft

x gallons = 1,200sq.ft

x × 800 = 2 × 1200

x = 2 × 1200/800

x = 3 gallons

Therefore Leah will need 3gallons of paint for 1200sq.ft room

4 0
3 years ago
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D. -15

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In the number 5,782,143 which digit is the ten thousandth place
lakkis [162]

Answer:

8

Step-by-step explanation:5,782,143 consists of 7 numbers. 3 is in the ones place, 4 in tens place, 1 in hundreds place, 2 in thousands place, 8 in ten thousands place, 7 in hundreds place, and 5 in millions place.

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8 0
3 years ago
1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv
scZoUnD [109]

compound interest equation for annually compounded

A=P(1+r)^t

A=final amount

P=principal

r=rate in decimal

t=time in years


given that

A=1550

P=1000

r=5.5%=0.055

find t


1550=1000(1+0.055)^t

divide both sides by 1000

1.55=1.055^t

take ln of both sides

ln(1.55)=ln(1.055^t)

use ln rule ln(a^b)=b(ln(a))

ln(1.55)=t(ln(1.055))

divide both sides by ln(1.055)

\frac{ln(1.55)}{ln(1.055)}=t

using a calculator, we get that t=8.18544 yrs

so about 8.2yrs

4 0
3 years ago
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