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Lyrx [107]
3 years ago
8

The measure of one acute angle is 3 times the sum of the measure of the other acute angle and 8

Mathematics
1 answer:
Anettt [7]3 years ago
8 0
Let x be the unknown angle. 

Make an equation using the formula.

<span>"measure of one acute angle is 3 times" Since we know that x is the one acute angle, we can multiply that by 3 to get 3x.

"</span><span>the sum of" when ever you see the word 'sum' it means that there will be an addition process involved and in this case it also means that 3x will equal to the rest of the equation. (3x=)
</span>
<span>"measure of the other acute angle and 8" We already know that the other angle is x . Since there is no other indicator of the 8 being subtracted, multiplied, and divided and that we know this is an addition problem, we can conclude that 8 will be added to the other angle. (x+8)
</span>
So, now we have the equation and all we have to do is simplify it. 

3x= x+8
-x   -x             *Move constants and variables to opposite sides*
------------
2x=8
---  ---             *Divide by 2 to isolate the variable* 
2    2

x=4

So, I'm assuming you want to know the measure of both angles. All you have to do is plug in the x in the 3x and x+8 depending on which angle you want.

3x
3(4)=12
The measure of the first angle is 12.

x+8
4+8= 12
The measure of the second angle is also 12.
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Answer:

16 7⁄15

Step-by-step explanation:

Find the Least Common Denominator [LCD], which is 15.

7⅔ → 7 10⁄15

+

8⅘ → 8 12⁄15

15 22⁄15 → 167⁄15

I am joyous to assist you anytime.

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3 years ago
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galben [10]

9514 1404 393

Answer:

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Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

  AB = √(2²+3²) = √13

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  AC = √(6² +4²) = √52 = 2√13

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5 0
3 years ago
HELP ASAP!!! PLEASE CHECK ALL OF THEM!
pochemuha

Answer:

2.

A. (P+h)(x)

2x/x+4 (x-1) + x/x-1 (x+4)

2x^2-1/x^2-4

+

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C. (Fg)(x)

(X^2-7x+6)(x-6)

= x^3-13x^2+48x-36

D. (H/p)(x)

X/x-1 / 2x/x+4

X/x-1 / x+4/2x

= X^2+4x/2x^2-2x

3.

A. (F+g)(3)

X^2+1 + x-4

3^2+1 + 3-4

10 -1

= 9

B. (f-g)(0)

X^2+1 - x-4

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= -3

C. (Fg)(-k)

(X^2+1) (x-4)

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D. (F/g)(k-2)

X^2+1 /x-4

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= K^2-4k+5 / k-4

Step-by-step explanation:

8 0
3 years ago
Find the least common multiple (LCM) of 54 and 72. A) 9 B) 27 C) 108 D) 216
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The lowest common multiple is 216 (D)
4 0
3 years ago
Read 2 more answers
Hey guys I need help with this right quick...got some time to help????
Zepler [3.9K]
Answer=18
3x4=12
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72x1/4=18
7 0
3 years ago
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