Answer:
Solution given;
<ABD=<BAC+<ACB
<u>Since</u><u> </u><u>exterior</u><u> </u><u>angle</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u><u> </u><u>is</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>opposite</u><u> </u><u>interior</u><u> </u><u>angle</u>
26x+20=19x-15+9x+25
solve like terms
26x+20=28x+10
subtracting both by 10
26x+20-10=28x+10-10
Subtracting both side by 26x
10=28x-26x
2x=10
dividing both side by 2
2x/2=10/2
x=5
Now
<ABD=26*5+20=l50°
<u>T</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u><</u><u>A</u><u>B</u><u>D</u><u> </u><u>i</u><u>s</u><u> </u><u>1</u><u>5</u><u>0</u><u>°</u>
Answer: 77.31°
explanation: you’ll have to round it on your own it confuses me
Answer:
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:

So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:

Step-by-step explanation:
For this case we have the following data:
16 17 11 21 15 14 17 18 19
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:

So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:

Answer:
1040
Step-by-step explanation: I multiply 260, 4 times.
Answer: 6928
----------------------------------------------------------
Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.