Answer:
13° , 29° , 138°
Step-by-step explanation:
let x be the smallest angle , then
2x + 3 is the middle angle and
2x + 3 + 109 is the largest angle
summing the 3 angles and equating to 180
x + 2x + 3 + 2x + 3 + 109 = 180 , that is
5x + 115 = 180 ( subtract 115 from 180 )
5x = 65 ( divide both sides by 5
x = 13
2x + 3 = 2(13) + 3 = 26 + 3 = 29
2x + 3 + 109 = 29 + 109 = 138
the 3 angles are 13° , 29° , 138°
The most appropriate choice for square root will be given by-
lies between 3 and 4
What is square root of a number?
Number raised to the power
is the square root of the number.
Here

3.464 lies between 3 and 4
lies between 3 and 4
To learn more about square root of a number, refer to the link:
brainly.com/question/3617398
#SPJ9
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Easy...
to even begin to factor..you must factor out a 3, to simplify your answer.
3(12

-7x-10)
Now, you can factor.

So..to find the answer...
12*-10=-120x
and
you would use -7x
What multiplies to -120..but adds to -7?
-15*8=-120
and
-15+8=-7
To find the answer, plug in what you know..
3(3x+2)(4x-5)
Thus, your answer.