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2 years ago

Angles P and Q are complementary.

Mathematics

1 answer:

GenaCL600 [577]2 years ago

5 0

Answer:

Explained below.

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Here,

Angle P = 2x
Angle Q = 7x

Then,

Angle P + Angle Q = 90°

2x + 7x = 90°

9x = 90°

x = 90/9

x = 10°

Therefore,

Measurement of Angle P = 2x = 2*10 = 20°
Measurement of Angle Q = 7x = 7*10 = 70°

$\rule{150pt}{2pt}$

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Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke

Paraphin [41]

Answer:

$2\frac{1}{6}$ pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

$\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}$

Let us convert mixed fractions into improper fractions as:

$1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}$

$\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}$

Combine numerators:

$\text{Weight of bucket}=\frac{36-10-13}{6}$

$\text{Weight of bucket}=\frac{13}{6}$

$\text{Weight of bucket}=2\frac{1}{6}$

Therefore, the weight of the bucket is $2\frac{1}{6}$ pounds.

6 0

3 years ago

1/3n-7/12=-3/8 n=5/72 n=-5/72 n=5/8 n=-2 7/8

prisoha [69]

Given the equation;

$\frac{1}{3}n-\frac{7}{12}=-\frac{3}{8}$

To solve, let us multiply through by the least common multiple of the the denominator of the three fractions wich is 24;

3 0

1 year ago

Is (5,2) a solution to this system? x+4y=13 x-y=3 *

kompoz [17]

Answer:

yes

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Leila, Charlie, and Joe have a total of $144 in their wallets. Joe has 4 times what Leila has. Charlie has $6 more than Leila. H

ollegr [7]

Answer:

The amounts of money each has are:

Joe = $92

Charlie = $29

Leila = $23

Step-by-step explanation:

To solve this, we will convert the statements into an equation, and use that to solve for the unknowns, as follows:

total amount = $144

Let Leila's share be S

Joe's share = 4 times Leila's = 4S

Charlie's share = $6 + Leila's share = 6 + S

Joe's share + Charlie's Share + Leila's Share = $144

4S + (6 + S) + S = 144

4S + 6 + S + S = 144

4S + 2S + 6 = 144

6S + 6 = 144

6S = 144 - 6 = 138

S = 138 ÷ 6 = $23

Therefore Leila's share 'S' = $23

Joe share= 4S = 4 × 23 = $92

Charlie's share = 6 + 23 = $29

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3 years ago

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bezimeni [28]

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2 years ago