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GarryVolchara [31]
2 years ago
10

Ace's brother is 9 years older than three times his age. the sum of their ages is 57 .how old is Chris?

Mathematics
1 answer:
Paraphin [41]2 years ago
6 0

Answer:

3x+9=57; Chris is 16 years old

Step-by-step explanation:

3x+9=57

Move the Constant to the right

3x=57-9

Calculate

3×=48

Divide both sides

x= 16

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The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.
Fiesta28 [93]
If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.
5 0
3 years ago
Polygon D is a scaled copy of polygon C using a scale factors of 6
Vladimir79 [104]

Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.

Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

 In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

Length\ scale\ factor=k=6

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

Area \ scale\ factor=k^2=6^2

Finally, evaluating, you get that this is:

Area \ scale\ factor=36

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

8 0
3 years ago
A group of students surveyed chose baseball and soccer as their favorite sport in the ratio 3:8
Anna [14]
3x-\ those\ who\ chose\ baseball\\8x-\ those\ who\ chose\ soccer\\\\&#10;a)\\3x+8x=132\\\\&#10;11x=132\ \ \ | divide\ by\ 11\\\\x=12\\\\&#10;8x=8*12=96\\\\&#10;96\ chose\ soccer.\\\\\&#10;b)\\8x=56\ \ \ | divide\ by\ 8\\\\x=7\\\\&#10;3x=3*7=21\\\\&#10;21\ chose\ baseball.
5 0
2 years ago
Common factors of 8xy⁴,6x²y,10x²y²​
Citrus2011 [14]

Answer:

2^{3}×5×3×x^{2}×y^{4}

Step-by-step explanation:

8xy^{4}= 2^{3}×x×y^{4}

6x^{2} y= 2×3×x^{2}×y^{}

10x^{2} y^{2} = 2×5×x^{2}×y^{2}

2^{3}×5×3×x^{2}×y^{4}

4 0
2 years ago
6x - 8y - 5х +3y. How can you answer this
insens350 [35]

Step-by-step Solution

Problem to solve: 6x−8y−5х+3y

solving method: simplifying

Combining like terms -8yand 3y

6x−5y−5

Final Answer:

6x−5y−5

8 0
3 years ago
Read 2 more answers
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