Answer:
50
Step-by-step explanation:
MHJ and LHK are vertical angles, which means they are equal
2x-20 = x+15
Subtract x from each side
2x-20-x = x+15-x
x-20 = 15
Add 20 to each side
x-20+20 = 15+20
x = 35
We want to find MHJ
MHJ =2x-20
=2(35) -20
= 70 -20
= 50
Perpendicular: the slope will be -6
Pass the point: Since we know slope is -6, then (-6)*(-3) + ? = 23 -> ? = 5
So answer: y = -6x + 5
Answer:
option 2.
m1 = 75 , m2 = 129 , m3 = 100
Step-by-step explanation:
with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles
x + 46 + 29 = 180
x = 180 - 46 -29
x = 105
a flat angle has 180 °
m1 + 105 = 180
m1 = 180 - 105
m1 = 75
46 + 54 + y = 180
y = 180 - 46 -54
y = 80
80 = z + 29
z = 80 - 29
z = 51
as they are two crossed lines the angle is reflected from the opposite side
with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)
m2 * 2 = 360 - 51 * 2
m2 = 258/2
m2 = 129
m2 = 29 + m3
129 = 29 + m3
m3 = 129 - 29
m3 = 100
Answer:
B
Step-by-step explanation:
Let's arrange the data set in increasing order.
We have 19, 27, 27, 33, 45, 53. The median is (27 + 33) / 2 = 30.
The new set is 19, 27, 27, 33, 45, 53, 90. The new median is 33.
Since 33 - 30 = 3 the answer is B.
B
Equivalent fractions are made when you multiply both the top (numerator) and the bottom (denominator) of the fraction by the same number. The only choice that is correct here is B.
