The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.
We can also see an a right angle is given to us at the bottom, this automatically means the left angle is also a right angle. This is the angle of SAS.
Lastly, we know they share another side because they’re sharing the same side exactly.
Answer:
See below.
Step-by-step explanation:
Here is an example:-
Solve by elimination:
2x - 3y = 0
3x + 2y = 13
To eliminate the y terms Multiply the first equation by 2 and the second by 3. This gives:
4x - 6y = 0
9x + 6y = 39 Adding the 2 equations:
13x + 0 = 39
13x = 39
x = 39/13 = 3
Finally we find y by plugging x = 3 into the first equation:
2(3) - 3y = 0
3y = 2(3) = 6
y = 2.
When it’s negative change it to a positive and vice versa. 0 stays 0
2W + 2L = 820
<span>LW = 42,000 or L = 42,000/W </span>
<span>substitute second equation into first equation: </span>
<span>2W + 2(42,000/W) = 820 </span>
<span>2W + 84,000/W = 820 </span>
<span>2W^2/W + 84,000/W = 820W/W </span>
<span>2W^2 - 820W + 84,000 = 0 </span>
<span>quadratic formula: </span>
<span>W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2) </span>
<span>W = [820 +/- 20]/4 </span>
<span>W = 200, 210 </span>
<span>using second equation: </span>
<span>L = 42,000/200, 42,000/210 = 210, 200 </span>
<span>The dimensions of the parking lot are 200ft by 210ft.</span>
Find the least common multiples of 4, 10, 12, 15
multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
The least common multiple of 4, 10, 12, and 15 is 60.
4 x 15 = 60
10 x 6 = 60
12 x 5 = 60
15 x 4 = 60
