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ANTONII [103]
3 years ago
15

If you cut a 35 inch long stick in two pieces in the ratio 2:3, how long would each part be?

Mathematics
1 answer:
Aliun [14]3 years ago
7 0

Answer:

14 : 21

Step-by-step explanation:

---> 2:3 ----> 2+3=5

---> Stick's length = 35 inches

<u />

<u>For the first portion</u>

2/5 x 35

2/1 x 7

= 14 inches

<u>For the second portion</u>

3/5 x 35

3/1 x 7

= 21 inches

To confirm: 14 + 21 = 35 inches

14 : 21

Divide both by 7

2 : 3

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3 years ago
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Help on this one as well ii manged to get an answer but If you understand it or im wrong an you please explain ! thank you !!
AnnZ [28]
Almost got it!

x + 3 = 3(y + 2)/2 [Multiplied both sides by 3]
so x + 3 = (3y + 6)/2
2(x + 3) = 3y + 6 [Multiplied both sides by 2]
2x + 6 = 3y + 6
2x = 3y [Subtracted 6 from both sides]
x = 3y/2 [Divided both sides by 2]
x/3 = y/2 [Divided both sides by 3]

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8 0
3 years ago
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Please help me with this
Tju [1.3M]

Answer:

Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Step-by-step explanation:

Step 1: Consider triangle ABC from the picture attached below.

Lets find angle x

x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)

x = 100°

Angle x = Angle y = 100° (because vertically opposite angles are equal)

Step 2: Find angle 2

Angle 2 = 180 - angle x (because angle on a straight line is 180°)

Angle 2 = 180 - 100

Angle 2 = 80°

Step 3: Find angle z

48 + y + z = 180° (because all angles of a triangle are equal to 180°)

z = 32°

Angle 3 = 180 - angle z (because angle on a straight line is 180°)

Angle 3 = 180 - 32

Angle 3 = 148°

Step 4: Find angle 1

Angle 1 = 180 - 33 (because angle on a straight line is 180°)

Angle 1 = 147°

Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Option 2 is correct

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