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3 years ago

Help a broooo outttt

Mathematics

1 answer:

fiasKO [112]3 years ago

7 0

Answer:

Step-by-step explanation:

Let the missing length be represented as "x".

Based on the angle bisector theorem, we have the following equation:

x/21 = 30/15

x/21 = 2/1

Cross multiply

x*1 = 2*21

x = 42

Missing length = 42

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Answer:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m) ------> 0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD -----> 1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5 -----> $\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy -----> $\frac{3}{5}m$

Step-by-step explanation:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m)

we know that

100% is the market price m

100%-21%=79%

79%=79/100=0.79

The price of a USB memory with a 21% discount of its market price is equal to multiply m by 0.79

(0.79)*m=0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD

we know that

100% is the amount m

100%+21%=121%

121%=121/100=1.21

The price or a CD that sells for 21% more than the amount (m) is equal to multiply m by 1.21

(1.21)*(m)=1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5

we know that

100% is the initial value m

2/5=0.40=40%

100%+40%=140%

140%=140/100=1.4

Convert to fraction

1.4=14/10=7/5

The final value is equal to m multiplied by 7/5

$\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy

we know that

100% is the number of makers m

2/5=0.40=40%

100%-40%=60%

60%=60/100=0.6

Convert to fraction

0.6=6/10=3/5

The total number of markers that Nancy has is equal to multiply m by 3/5

$\frac{3}{5}m$

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3 years ago