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lyudmila [28]
3 years ago
15

If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR Please answer with work

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

\angle PQR=30^{\circ}

Step-by-step explanation:

It is given that,

\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}

We need to find the measure of \angle PQR.

From the given figure, \angle PQR=\angle  PQS+\angle SQR

Putting all the values, we get :

12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13

\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}

So, the measure of \angle PQR is 30 degrees.

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Marilyn a 320 pounds of vegetables last week how many ounces did she eat per month and rounded to the nearest tenth?
max2010maxim [7]
1 lb = 16 oz

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5,120 * 4 = 20,480 oz

She ate 20,480 oz of vegetables per month. That was my answer as a whole number.
4 0
3 years ago
9x−9y=0 3x−4y=10 solve by elimination
NikAS [45]

Answer:

(-10,-10)

Step-by-step explanation:

9x-9y=0

3x-4y=10

In elimination, we want both equations to have the same form and like terms to be lined up.  We have that.  We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.  

We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which.  I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.

I will rewrite the system with that manipulation:

9x-9y=0

-9x+12y=-30

----------------------Add them up!

0+3y=-30

     3y=-30

       y=-10

So now once you find a variable, plug into either equation to find the other one.

I'm going to use 9x-9y=0 where y=-10.

So we are going to solve for x now.

9x-9y=0 where y=-10.

9x-9(-10)=0  where I plugged in -10 for y.

9x+90=0  where I simplified -9(-10) as +90.

9x     =-90 where I subtracted 90 on both sides.

x=       -10 where I divided both sides by 9.

The solution is (x,y)=(-10,-10)

3 0
3 years ago
An exponential function is graphed for all real numbers. This includes which of the following sets of numbers?
anygoal [31]

<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>

 

<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>

 

<span>Before you start,   f(0) = 2<span>0 </span>= 1</span>

<span>After 1 hour           f(1) = 21 = 2</span>

<span>In 2 hours              f(2) = 22 = 4</span>

<span>In 3 hours              f(3) = 23 = 8</span>

and so on.

 

 

<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>

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8 0
3 years ago
Share $72 in the ratio 5:4
nignag [31]

Answer:

Step-by-step explanation:

Let ratio be x

$72=5x+4x

$72=9x

X=$72/9=$8

Required share=5×$8=$40

And 4×$8=$32

4 0
3 years ago
Corey has 16 cups of flour to make cookies. One batch of cookies takes 2 1/2 cups of flour. If he must save 6 cups of flour for
alexira [117]
16 - 6 = 10
2 1/2*4= 10
corey can make 4 batches of cookies (gimmie some bro)
6 0
3 years ago
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