Answer: x = 27
Step-by-step explanation:
2x+3x+45=180º because all of the angles of a triangle add up to 180
5x=180-45
5x=135
x=135/5
x=27
Answer:
Neither
Step-by-step explanation:
To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form
(y = slope * x + y-intercept)
2x = 14 + y
-14 -14
2x - 14 = y OR y = 2x - 14
*So the slope of the first equation is 2*
4x + 2y = 10
-4x -4x
2y = -4x + 10
/2 /2
y = -4/2 + 10
*So the slope is -2*
For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)
180 of 72% is 129.6. 180*72= 12960. Since 72% = .72, you need to put the decimal 2 places behind the decimal.
328 bolts can be produced in 32 minutes
As the 2 quadrilaterals are congruent the sides of one quadrilateral are equal to the corresponding sides of the other quadrilateral
Hence,
AB = PQ
RQ = BC
AD = PS
DC = RS
Since terms for both AB and PQ are given we can equate the terms and find m
5m -9 = m + 11
5m -m = 11 + 9
4m = 20
m = 5
Correct answer is D , 5
