Answer:
x = 8
Step-by-step explanation:
m<PQR = (2x + 6)°
m<RPQ = (x - 7)°
m<QRS = (5x - 17)°
<PQR and <RPQ are interior angles opposite to the exterior angle <RPQ.
Therefore,
m<PQR + m<RPQ = m<QRS (Exterior Angle Theorem of a Triangle)
Substitute in the values
2x + 6 + x - 7 = 5x - 17
Add like terms
3x - 1 = 5x - 17
Collect like terms
3x - 5x = 1 - 17
-2x = -16
-2x/-2 = -16/-2
x = 8
The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.
A rational number is a number which can be written in p/q form where q≠0.
We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.
So in the given question, lets study the term differently that is,
i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.
ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.
So when these two rational numbers are added their sum will also be a rational number which is 11.
Learn more about rational numbers here : brainly.com/question/12088221
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The answer is because 3 squared =9
9514 1404 393
Answer:
x = 60
y = 30
Step-by-step explanation:
Adjacent angles are supplementary.
(5x -180) +x = 180
6x = 360 . . . . . . . . . . add 180, collect terms
x = 60 . . . . . . . . divide by 6
Opposite angles are congruent.
2y = 60 . . . . . . 2y = x
y = 30 . . . . . . . .divide by 2
The value of x is 60; the value of y is 30.
Answer:
the complete graph is in the image
Step-by-step explanation:
to plot this, plug in values of x and find y.
