∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.
... ∠1 = ∠2
... 3x -5 = 2x +15 . . . . substitute the given values
... x = 20 . . . . . . . . . . . add 5-2x
The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.
Answer:
$192.95
Step-by-step explanation:
$35 x 4 pants = $140
$14.50 x 6 shirts = $87
140 + 87 = $227
227(15%) = $34.05
227 - 34.05 = $192.95
It’s -10
Explanation: 8 x 5= 40
40/-4= -10
Question:
Find numbers a and k so that x-2 is a factor of
and
Answer:
and 
Step-by-step explanation:
Given
Required
Find a and k
For
Substitute -1 for x
Substitute 3 for f(-1)
Collect Like Terms
Also:
If 
is a factor, then
Substitute 2 for x and 0 for f(x)
Collect Like Terms
Substitute 12a - 14 for k in
Collect Like Terms
Solve for a
Substitute 1 for a in
[67.9 %, 82.1 %] is the 95% confidence interval for the proportion of test-takers answering the question correctly. So we have [67.9 %, 82.1 %] In a random sample of 144 test-takers with 75% answered the question correctly. So the answer in this question is [67.9 %, 82.1 %].
