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3 years ago

Given the following diagram, find the required measure.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

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Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

kiruha [24]

Answer

Find out the how many hours has Carlos practiced piano .

To prove

As given

$He\ practices\ piano\ for\ \frac{3}{4}\ hour\ before\ school.$

$\frac{7}{10}\ hour\ when\ he\ gets\ home.$

Than

$Total\ hours\ carlos\ practiced\ piano = \frac{3}{4} + \frac{7}{10}$

L.C.M of (4,10) = 20

$Total\ hours\ carlos\ practiced\ piano = \frac{3\times 5+7\times 2}{20}$

$Total\ hours\ carlos\ practiced\ piano = \frac{15+14}{20}$

$Total\ hours\ carlos\ practiced\ piano = \frac{29}{20}\ hours$

Therefore the total hours Carlos practiced piano is 1.45 hours .

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4 years ago

Read 2 more answers

How do you workout 7x-19<16

laila [671]

Answer:

To work this problem out you would do it as if it were just a simple equation

7x-19<16 (you would first have to add 19 to both sides)

7x<35 (then you would divide by 7 to get the variable by itself)

x<5 ( you answer would then be 5)

Step-by-step explanation:

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3 years ago

Carlos has a $20 bill. He wants to buy his mom something for her birthday. He uses part of the

lukranit [14]

Answer:

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Step-by-step explanation:

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3 years ago

Claire Judice

Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

Step-by-step explanation:

Given:

The equation to solve is given as:

$5x^5+6x^4+80x^3+96x^2=0$

Factoring $x^2$ from all the terms, we get:

$x^2(5x^3+6x^2+80x+96)=0$

Now, rearranging the terms, we get:

$x^2(5x^3+80x+6x^2+96)=0$

Now, factoring $5x$ from the first two terms and 6 from the last two terms, we get:

$x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0$

Now, equating each factor to 0 and solving for 'x', we get:

$x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i$

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Therefore, the values of 'x' are -1.2, 0, 0, $-4i$ or $4i$ .

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4 years ago

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Anvisha [2.4K]

C2 + a2 +2 = b
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