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Artyom0805 [142]
3 years ago
6

2. The following triangle, ∆, has angle measures as shown.

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

x=29. Angle C= 93

Step-by-step explanation:

3(x+2)= 3x+6.

3x+6+52+35= 3x+93.

180-93=87.

87/3= 29. So that means x=29.

for proof you can do 3(29)+93 and you'll get 180.

For angle C; 3(29+2)= 3x31. 31x3= 93.  

Angle C= 93 degrees.

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Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).
Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>
  • x^2-12x-45\\

<h3>To find</h3>

The factors of x^2-12x-45\\.

<h3 /><h3>Solution</h3>

x^2-12x-45\\

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

x^2-15x+3x-45\\

Taking common out,

x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

brainly.com/question/2263981

3 0
2 years ago
At the beginning of its route, a garbage truck accelerates at 10ms2 as it is driven down the road. By the end of the route, the
Dmitry [639]

Answer:

2.5\ m/s^2

Step-by-step explanation:

Newton's Second Law: Force on a body is equal to the product of mass and acceleration of the centre of the mass of the body.

Force(F)=Mass(m)\times Acceleration(a)

Initially:

Let\ mass=m\ kg\\\\acceleration=10\ m/s^2\\\\Force(F)=m\times 10=10m

At the end of the road:

Let\ mass=4\times m\ kg\\\\acceleration=a\ m/s^2\\\\Force(F)=4m\times a=4ma

Both\ forces\ are\ equal\\\\4ma=10m\\\\divide\ both\ the\ sides\ by\ m\\\\4a=10\\\\a=\frac{10}{4}\\\\a=2.5\ m/s^2

8 0
2 years ago
Pls, can someone help me with this problem?
ExtremeBDS [4]

Answer:

0.\overline{33}

Step-by-step explanation:

If you divide number 1 by number 3, you will notice that number 3 will constantly repeat at the decimal part.

So, the answer is 0.\overline{33}.

5 0
2 years ago
Find the exact length of the arc s in the figure. (Assume r = 3 and θ = 106°.)
NemiM [27]
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angle of arc s = 360 - 106 = 254 degree

Arc length = 6Pi ( 254 ) / 360 = 4.2Pi

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8 0
3 years ago
Consider the table of the powers of 8.
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C loser that’s the correct number
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