Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
===========================================================
Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Answer: √y
<u>Step-by-step explanation:</u>
Too much work!!!!!!!!!!!!
Answer:
We want to simplify:
(3 + 1/4)*(3/5)
The first step is to write the first term as a single rational number.
We know that:
3*1 = 3
and 4/4 = 1
then:
3*1 = 3*(4/4) = (3*4)/4 = 12/4
We do this because we want to have the same denominator in both numbers, so we can directly add them.
Then we get:
(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)
And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:
(13/4)*(3/5) = (13*3)/(4*5)
If we solve the multiplications we get:
(13*3)/(4*5) = (39/20)
Now, we can notice that in the numerator we have two prime numbers, 13 and 3.
And in the denominators, we have a 4 (which is equal to 2*2) and a 5.
So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.
Then we have:
(3 + 1/4)*(3/5) = (39/20)