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Solnce55 [7]
3 years ago
8

Please help me with this question!

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

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What is 3 1/3 -1 1/2 as a fraction?
eduard

Answer:

11/6

Step-by-step explanation:

<u>Step 1:  Convert to Improper fractions</u>

3 1/3 = 3*3/3 + 1/3 = 9/3 + 1/3 = 10/3

1 1/2 = 1*2/2 + 1/2 = 2/2 + 1/2 = 3/2

<u>Step 2:  Make common denominators</u>

10/3 * 2/2 = 20/6

3/2 * 3/3 = 9/6

<u>Step 3:  Subtract</u>

20/6 - 9/6

11/6

Answer:  11/6

6 0
3 years ago
Please please help me
Gekata [30.6K]

Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

8 0
2 years ago
Find the area of the rectangle:
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10 ft and 2 because I did the math
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2 years ago
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Vitek1552 [10]

how many times does 5 go into 78

78/5

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15 3/5 ft

5 0
3 years ago
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Can you guys help me? :-(
VMariaS [17]

Answer:

\frac{9}{10}

Step-by-step explanation:

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