2(10)-2(6x)= x-8x
20-12x=x-8x
+12x+12x
20=13x-8x
20=5x
4=x
Answer:
a + b + c + d + e = 180.
Step-by-step explanation:
We can prove that a = angle CBA (vertically opposite angles are equal).
Now, since lines DE and CA are parallel, then it follows that c = angle ACE (alternate angles are equal). Similarly, b = angle CAD.
But notice that what we've just done is found the angles of the triangle CBA.
So the sum of the angles (a + b + c + d + e) is the sum of the angles of a triangle.
We then conclude that a + b + c + d + e = 180 degrees.

Change the order of integration. The region over which you're integrating can be equivalently described by the set of points in the plane,
.
Then the integral becomes

Substitute
,
:

Based on the given stem and leaf plot of the scores of the ninth and tenth graders, the difference between the tenth and ninth-grader modes <u>is 7.</u>
<h3>What is the tenth grade mode?</h3>
The mode is the score that appears the most times.
From the stem and lead plot, this number is 42 as it appears 3 times. This is shown by the 4th stem having 2 leafs three times.
<h3>What is the ninth grader mode?</h3>
The third stem has five leafs four times so the mode would therefore be 35.
The difference is then:
= 42 - 35
= 7
Find out more on stem and leaf plots at brainly.com/question/8649311.
#SPJ1
Answer:
Not exactly
Step-by-step explanation:
- Cost lamp = $89.95
- Cost of comforter set = $239.99
- Sales tax = 6.5%
<u>Total payment:</u>
- ($89.95 + $239.99)*1.065 = $351.39
<u>Total amount is a little different:</u>