Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
Answer:
r = 100(
- 1 )
Step-by-step explanation:
Given
A = P(1 +
) ← divide both sides by P
= 1 +
( subtract 1 from both sides )
- 1 =
( multiply both sides by 100 )
100 (
- 1) = r
Answer;
If a person walks 2.4 miles in 10 minutes, how far can he walk in 1.5 hours?
---------------
1.5 hours = 90 minutes
That's 9x the time, so the person will walk 9x the distance.
2.4*9 = 21.6 miles.
Answer:
m=7
Step-by-step explanation:
step 1: -3m+6m-12=9
step 2: 3m-12=9
step 3: 3m=21
step 4: m=7
Answer:
2.8
Step-by-step explanation:
The given data set is;
6, 12, 10, 9, 8, 6, 2, 4, 8, 15
The mean of this set is;



The mean absolute deviation is given by




