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3 years ago

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

Mathematics

2 answers:

Elden [556K]3 years ago

7 0

Angle A is 66 degrees.

lidiya [134]3 years ago

7 0

Answer:

Step-by-step explanation:

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1. What are the opposite and absolute value of: a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____

NARA [144]

Opposite value would be either changing from a positive to a negative or from a negative to a positive.

Absolute value is always a positive value

A) 7.2, -7.2, 7.2

B) -3.5, 3.5, 3.5

C) 5 1/2, -5 1/2, 5 1/2

7 0

3 years ago

Read 2 more answers

Find the measure of each side indicated. Round to the nearest tenth.

mihalych1998 [28]

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

4 0

2 years ago

Read 2 more answers

20 points! Will mark the brainliest!

andrew-mc [135]

$\dfrac{ \dfrac{x+3}{4x^2-16} }{ \dfrac{2x^2+10x+12}{2x-4} }$

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Write the divide fraction horizontally:
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$= \dfrac{x+3}{4x^2-16} \div \dfrac{2x^2+10x+12}{2x-4}$

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Factorise the numerators and denominators when possible:
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$= \dfrac{x+3}{4(x+2)(x-2)} \div \dfrac{ 2(x + 3) (x + 2)}{2(x-2)}$

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Convert the divide fraction to multiplication fraction
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$= \dfrac{x+3}{4(x+2)(x-2)} \times \dfrac{2(x-2)}{2(x+3)(x+2)}$

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Cancel the factors
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$= \dfrac{1}{4(x+2)} \times \dfrac{1}{(x+2)}$

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Combine to single fraction
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$= \dfrac{1}{4(x+2)^2}$

4 0

3 years ago

A circular swimming pool has a radius of 15 ft. There is a path all around that pool that is three feet wide.

Romashka-Z-Leto [24]

Answer:

Circumference(C) of the circle is given by:

$C = 2 \pi r$

where, r is the radius of the circle.

As per the statement:

A circular swimming pool has a radius of 15 ft.

⇒radius of the pool(r) = 15 ft

There is a path all around that pool that is three feet wide.

⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft

Substitute these in the formula we have;

$C = 2 \pi r'$

⇒ $C = 2 \cdot 3.14 \cdot 18 = 113.04 ft$

Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft

6 0

3 years ago

Read 2 more answers

Find four consecutive integers whose sum is 114.

Rzqust [24]

4 consecutive integers : (x), (x + 1), (x + 2), (x + 3)

x + x + 1 + x + 2 + x + 3 = 114...combine like terms
4x + 6 = 114....subtract 6 from both sides
4x = 114 - 6
4x = 108...divide both sides by 4
x = 108/4
x = 27

x + 1 = 27 + 1 = 28
x + 2 = 27 + 2 = 29
x + 3 = 27 + 3 = 30

so ur 4 numbers are : 27, 28, 29, 30

7 0

2 years ago