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Oxana [17]
4 years ago
5

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 4x+10

and another has a degree measure of 3x+5 . Write an expression for the degree measure of the third angle in the triangle. Thanks
Mathematics
1 answer:
Mama L [17]4 years ago
7 0

4x+10 + 3x+5 +y =180

solve for y  y=third angle

combine like terms

7x+15+y =180

subtract 7x+15 from each side

y = 180 -(7x+15)

y = 180 -7x-15

y = 165 -7x

The third angle equals 165-7x


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tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how
adelina 88 [10]

Answer:

23.3

(or 4\sqrt{34} (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

a^{2} +b^{2} =c^{2}

Insert values:

12^{2} +20^{2} =c^{2}

Solve for c:

Evaluate exponents

144+400=c^2

Simplify addition

544=c^2

Find the square root of both

\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3

The fence needs to be approximately 23.3 m.

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3 years ago
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Mr Wilson has$3,000in his bank account ms Nelson has 10 times as much money in her bank account as mr Wilson has in his bank acc
Ahat [919]
3,000x10=30,000
Ms.Nelson has $30,000 in her bank account. 
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3 years ago
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Find the measure of x and round to the nearest tenth!!
Jet001 [13]

Answer:24

Step-by-step explanation:

the number of the right triangle is to subtract the number

4 0
3 years ago
22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base
Dovator [93]

The volume of the rectangular prism is

V=B\times H

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}

Divide both sides by 160 to find H

\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}

The height of the container is 8.5 feet

4 0
1 year ago
HELP ASAP PLEASE & SHOW UR WORK!! THANK YOU <3
olchik [2.2K]

Answer:

x^2 - 5x = 14

x^2 - 5x-14 = 0

Now, we have to find the multiples of -14 and numbers that add/subtract to -5; this helps to find the factors.

-7+2 = -5

-7*2 = -14

Based on the above info, we can find out my factors; they are:-

(x-7)(x+2)

4 0
3 years ago
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