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AnnyKZ [126]
3 years ago
15

Please answer and explain #17 :)

Mathematics
2 answers:
IRINA_888 [86]3 years ago
7 0

Answer:

Solution given:

we have

m<PTQ=m<RTS

x+20=3x+12.

20-12=3x-x

x=

\frac{8}{2}

now

16.m<PTQ=x+20=4+20=24°

17.

again

m<PTR+m<PTQ=180°[supplementary]

so

m<PTR=180°-24°<u>=1</u><u>5</u><u>6</u><u>°</u><u> </u><u>i</u><u>s</u><u> </u><u>your</u><u> </u><u>answer</u>

bazaltina [42]3 years ago
7 0

Answer:

156°

Step-by-step explanation:

I see you have already found the x so now plug it in.

(4)+20=24

(4)(3)+12= 24

Since they are vertical angles, then they are congruent, thats why they are equal. By now I think you should know that a straight line is equal to 180, so lets take 1 angle to find the missing one.

We can also see that ∠PTR and ∠RTS are also vertical angles, so they are also congruent. So we only use one, 180-24=156

the answer is 156 because ∠PTR and ∠PTQ are in the same line making them supplementary.

Does that make sense?

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Gina bought 6 containers of yogurt for $4. how many containers of yogurt could gina buy for $12?
maw [93]
6 containers =    4$
  X containers  = 12 $

When you cross multiply , it will be 4X = 72

therefore X= 72/4= 18 . 

Or just use your logic for that answer , 12 /4 is 3 right? 
then multiply 6 by 3


3 0
3 years ago
Simplify (x − 4)(2x2 + 3x − 5).
xeze [42]

The simplified form of given expression is 2x^3-5x^2-17x+20

<em><u>Solution:</u></em>

Given that we have to simplify the expression

<em><u>Given expression is:</u></em>

(x-4)(2x^2+3x-5)

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

\rightarrow (x-4)(2x^2+3x-5)

\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

\rightarrow 2x^3+3x^2-5x-8x^2-12x+20

Combine the like terms

\rightarrow 2x^3+3x^2-8x^2-5x-12x+20

\rightarrow 2x^3-5x^2-17x+20

Thus the expression is simplified

5 0
3 years ago
Which of the following will result in a rational number? Select all that apply.
Burka [1]

Answer:

A

Step-by-step explanation:

the answer is a :

6 4/5+√9/4

8 0
2 years ago
Help me with this please
alina1380 [7]
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40 
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y 
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x. 
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair. 
6 0
4 years ago
|
FromTheMoon [43]

Area : Multiply the two numbers

13*8=104 yd^2

Perimeter: Add the two numbers two times

Perimeter : 13+8+13+8=42 yd

Answer:

Area is 104yd^2

Perimeter is 42yd

8 0
4 years ago
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