Answer:
Additional information required is
<DBA = 90°
Step-by-step explanation:
<DBA + <DBC = 180° [Linear pair]
=> <DBA = 180° - <DBC
=> <DBA = 180 - 90
=> <DBA = 90
Hence, both the angles <DBA = <DBC = 90°
As we know that when a perpendicular bisector bisects a straight line both the angles should be,
180° ÷ 2 = 90°
And above conditions also prove that
<DBA = <DBC = 90°
<em><u>Hence, DE is a perpendicular bisector of AC </u></em>
Answer:
The distribution is skewed, so use the five-number summary. range: 38, median: 16, half of the data are between 9.5 and 25
Step-by-step explanation:
In the picture attached the histogram is shown. We can see that data is skewed to the right, so we have to use the five-number summary. The range of the data is 39 - 1 = 38 (subtraction of the maximum value to the minimum value); the median is (15 + 17)/2 = 16 (if you order the values, 15 and 17 are in the middle); quartile 1 is 9.25 and quartile 3 is 25.5 (see diagram of box and whisker attached), then half of the data are between those values.
Answer:
(4, 3)
Step-by-step explanation:
Since the x is by itself in the first equation already, we can solve for y in the next equation and substitute for x.
(y+1)+2y=10
3y+1=10
<u>-1 -1</u>
3y=9
y=3
Next, we need to find x. To do this, we need to substitute y with 3 in one of the equations.
x=(3)+1
x=4
The ordered pair is finally (4, 3).
Hope this helps!! I literally just learned this today...have a great day ❤
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
9514 1404 393
Answer:
- monthly payment $690.25
- total interest $123,490
- total repaid $248.490
- difference from rent $9.75
Step-by-step explanation:
Frank's monthly payment will be $690.25.
The total of all payments will be $690.25 × 360 = $248,490.00.
The interest Frank will pay is $248,490 -125,000 = $123,490.00.
The difference between Frank's rent and his loan payment is ...
$700 -690.25 = $9.75
