m < DAB + m < ADC = 180 (because ABCD is a parallelogram)
so m < ADC = 180 -112 = 68 degrees
Therefore m < ADB = 68 - 27 = 41 degrees (answer)
Answer:
Slope: 2
a: 5
b: 6
y-coordinate when x = 0: -2
Step-by-step explanation:
To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...
(10-2)/(6-2) = 8/4 = 2, so your slope is 2
To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.
To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.
For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.
Let me know if you need a more in-depth explanation on any part of this!
It's already reduced it remains as 69/80 because the is no greater common factor between the two.
Let
using a graph tool
see the attached figure
The figure is a triangle
we know that
<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.
Hero's Formula is equal to
where
p is is half the perimeter of the triangle
a,b,c are the lengths of the sides of a triangle
so
Step 
<u>Find the length sides of the triangle</u>
a) <u>Find the distance AB</u>
Substitute
b) <u>Find the distance AC</u>
Substitute
c) <u>Find the distance BC</u>
Substitute
Step 
<u>Find the perimeter of the triangle</u>
<u>Find the half of the perimeter </u>
Step 
<u>Find the area of the triangle</u>
therefore
<u>the answer is the option </u>
a) 1.65 mi^2.
Answer:
3.1 miles
Step-by-step explanation:
2.5 + 4.4 = 6.9
10 - 6.9 = 3.1
