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3 years ago

Use this figure to find the value of ∠FOD

Mathematics

1 answer:

mixer [17]3 years ago

8 0

The answer is B
Since you know that BOD is a right angle add 12 And 15 and subtract your answer from 90

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A)<br>be<br>85°<br>120°<br>(2x - 10°<br>X

Lunna [17]

Let's see what to do buddy...

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Step (1)

We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :

$(n - 2) \times 180$

Our figure has 5 sides ;

So , sume the interior angles of it equals :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

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Step (2)

First look at the photo which I post.

According it we have :

$(180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\$

$2x - x + 475 - 10 = 540$

$x + 465 = 540$

Subtract the sides of the equation minus 465 :

$x = 540 - 465$

$x = 75$

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

3 0

3 years ago

Which is the height of the triangle?<br> ( PIC IS PROVIDE PLS HELP ME)

zysi [14]

<h3>Answer: 80 meters</h3>

This is an isosceles triangle. The dashed line is the height which is perpendicular to the base 120. The height is always perpendicular to the base. The dashed line cuts the base into two equal pieces (this only works for isosceles triangles when you cut at the vertex like this).

So we have two smaller triangles each with a base of 60 and a height of x. Focus on one of the right triangles and use the pythagorean theorem to solve for x.

a^2 + b^2 = c^2

x^2 + (60)^2 = (100)^2

x^2 + 3600 = 10000

x^2 = 10000 - 3600

x^2 = 6400

x = sqrt(6400)

x = 80

Each smaller right triangle has side lengths of 60, 80, 100

Note the ratio 60:80:100 reduces to 3:4:5. A 3-4-5 right triangle is a very common pythagorean primitive.

5 0

3 years ago

Read 2 more answers

The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su

Wewaii [24]

Answer: 0.0667117 * $10^{6}$ miles

Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?

Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:

0,9863 degrees/day = 0,9863 degrees/(24 hours)

0,9863 degrees/day = 0.0411 degrees/hours

Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:

Total Circuference = 360° = 2*pi* R

Because Radius is variable for any circle. It is say that:

360° = 2*pi radians

WIth this relation, we can know how many radians are 0.0411 degrees

360/0.0411 = (2*pi)/x

x = (2*pi*0.0411)/(360)

X = 0.00071733032

X is how much the Earth travels per hour in Radians.

Multiplying per Radius:

Earth distance traveled per hour = 0.0667117 * $10^{6}$ miles

8 0

3 years ago

Which point could be on the line that is perpendicular

slamgirl [31]

Answer:

b (2,2)

Step-by-step explanation:

4 0

3 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

netineya [11]

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

8 0

3 years ago