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3 years ago

An angle measures 66.4º more than the measure of its complementary angle. What is the

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

11.8° and 78.2°

Step-by-step explanation:

let the angles be x and x + 66.4

complementary angles sum to 90° , then

x + x + 66.4 = 90

2x + 66.4 = 90 ( subtract 66.4 from both sides )

2x = 23.6 ( divide both sides by 2 )

x = 11.8 and

x + 66.4 = 11.8 + 66.4 = 78.2

The 2 angles are 11.8° and 78.2°

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For a project in her Geometry class, Chee uses a mirror on the ground to measure the

maria [59]

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

The eight of the goalpost is approximately <u>16.91 meters</u>.

<h3>Methods used to calculate the height</h3>

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to = 1.4 meters

The distance from her eyes to the ground = 1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

$\dfrac{1.65}{1.4} = \mathbf{\dfrac{Height \ of \ the \ goalpost, h}{14.35} }$

Which gives;

$h = \dfrac{1.65}{1.4} \times 14.35 = 16.9125 \approx \mathbf{ 16.91}$

The height of the goalpost, h ≈ <u>16.91 meters</u>

Learn more about similar triangles here:

brainly.com/question/10676220

7 0

3 years ago

What two numbers have a product of -36 and a sum of<br> 5?

natima [27]

Answer: 9, -4

Step-by-step explanation:

We can write an equation:

xy=-36

x+y=5

Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6

There are only 2 factors here that add up to -36: 9 and -4

5 0

3 years ago

Fgh is a right triangle

umka21 [38]

Can you clarify or add a picture?

6 0

3 years ago

50 POINTS PLEASE HELP! In order to rewrite log9 (6/5) as log9 (6) - log9 (5) , which of the following is used?

Anna11 [10]

B. Is the correct answer.

3 0

3 years ago

Read 2 more answers

sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam?

Ksenya-84 [330]

Answer: She needed $1\frac{1}{2}\text{ pounds of blueberries}$ to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used $\frac{3}{4}$ pound of blueberries to make $\frac{1}{2}$ cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

$\text{For }\frac{1}{2}\text{ cup of jam},\\\\\text{ she need }\frac{3}{4}\text{ pound of blueberries }\\\\\text{ For 1 cup of jam}.\\\\\text{She need }=\frac{3}{4}\times 2=\frac{3}{2}=1\frac{1}{2}\text{ pounds of blueberries }$

Hence, She needed $1\frac{1}{2}\text{ pounds of blueberries}$ to make a cup of jam .

4 0

3 years ago