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GalinKa [24]
3 years ago
9

How do i find the value of x using the pythagorean theorem?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0
First use Pythagorean theorem to find the missing length of the triangle with 10 and 6. So 10^2 - 6^2 will give you an answer. The square root that answer and use that answer along with the length of 15 to find x. It’ll be 15^2 + the previous result^2 = x^2. Square root whatever you get for x^2 and that’s your answer.
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Find the measure of an angle whose measure is 20° less than the measure of its supplement.
Tasya [4]
Supplementary = angles add up to 180
Measure = 20 less

Labelled as x + (x - 20) = 180

Solve.

x + (x - 20) = 180
             2x = 200
             /2      /2
               x = 100

Angle 1:             Angle 2:
x - 20                  x
100 - 20             100
80

Therefore the angle is 80 degrees.

Proof: 80 + 100 = 180 (supplementary)
100 - 80 = 20 (80 is less than supplement (100)

Hope I helped :))))
3 0
3 years ago
When two lines intersect they form two pairs of opposite angles called?
tatuchka [14]

Hello, Katrina7!

Vertical angles are when two lines intersect they form two pairs of opposite angles.

I really hope this helps;) 

5 0
3 years ago
Read 2 more answers
How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 10 foot radius?
Stolb23 [73]

To solve this problem you must apply the proccedure shown below:

1. You must calculate the perimeter of the circle:

The radius of the circle in inches is:

radius=\frac{(10ft)(12in)}{1ft}=120in

P=2\pi(radius)\\  P=2\pi(120in)\\ P=753.98in

2. Now, you must divide the perimeter by the space between each flower to find the number of flowers needed, which you can call x:

x=\frac{753.98in}{6in}=125.6=126

The answer is: 126 flowers.

5 0
3 years ago
At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
3 years ago
I don’t understand this and it’s due tomorrow. Pls help
olya-2409 [2.1K]

Answer: H

Step-by-step explanation:

So this is called a problem you would use PEMDAS or (please-excuse-my-dear-aunt-sally)

Parenthesis

Exponents

Multiply

Divide

Addition

Subtract

In this sens, since parenthesis are present you do them first so it would be H

3 0
3 years ago
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