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3 years ago

An angle is 88° more than its supplement. What is the angle's measure?

Mathematics

2 answers:

Gala2k [10]3 years ago

8 0

Answer:

134°

Step-by-step explanation:

Supplementary angles when combined = 180°

One of the angles is x°. The other is x + 88°. Set the equation:

x + x + 88 = 180

Simplify. Combine like terms:

(x + x) + 88 = 180

2x + 88 = 180

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Subtract 88 from both sides:

2x + 88 (-88) = 180 (-88)

2x = 180 - 88

2x = 92

Divide 2 from both sides:

(2x)/2 = (92)/2

x = 92/2

x = 46

The supplement angle is 46° long.

Find the angle you are solving for: 88 + 46 = 134°

134° is your answer.

The supplement angle is 46°.

svp [43]3 years ago

7 0

The angles measure is 92 degrees.
Work:
Two supplementary angles add up to 180 degrees
180-88=92

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CSA of the cylinder = 440 sq. cm

Volume of the cylinder = 1540 cu. cm

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Step-by-step explanation:

Given:

Radius of the cylinder = 7 cm
Height of the cylinder = 10 cm

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To Find:

Curved surface area
Volume

$\\$

Solution:

$\\$

Using formula:

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA \: of \: cylinder = 2\pi rh}}}}}} \: \star \\ \\$

<em>Substituting the required values: </em>

$\\$

$\dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 2 \times 22 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 44 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf CSA {(cylinder)} = 440 \: {cm}^{2} \\ \\ \\$

Now,

$\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}= \pi {r}^{2} h}}}}}} \: \star \\ \\ \\$

<em>Substituting the required values, </em>

$\\$

$\dashrightarrow \: \: \sf Volume {(cylinder)}= \dfrac{22}{7} \times {(7)}^{2} \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= \frac{22}{7} \times 49 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\ \\ \dashrightarrow \: \: \sf Volume {(cylinder)}= 1540 {cm}^{3} \\ \\ \\$