Answer:
2 x + y = − 2 , x + 2 y = 2 , 6 x 2 + 3 y 2 = 12 , x + y = 2
x − y = 9 , x + y = 6, 2 x + y = − 2 , x + 2 y = 2 6 x 2+ 3 y 2 = 12 , x + y = 2 x − y= 9 , x + y = 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have been given a triangle. We are asked to find the value of x for our given triangle.
We can see that measures of both angles with red mark are equal.
The angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Using angle bisector theorem, we can set an equation as:
Therefore, the value of x is 5.
Answer:
Angle BCA is 74 degrees, angle MBC is 21, angle MCB is 37, and BMC is 122
Step-by-step explanation:
First off, MBC was an angle that was bisected by point M, meaning that if you took half of angle ABC, you would get your answer.
(0.5)(42)=21
Since you already have two angle measures, being ABC and BAC, you can find angle BCA by adding the two angle measures up, then subtracting by 180 to get your answer:
180=64+42+BCA, which your answer will be 74 degrees.
Now that you have found angle BCA, you take half of that angle measure to then find angle MCB, because point M bisected angles ABC, BAC, and BCA.
(0.5)(74)=37
Finally, since you have found the angles MBC and MCB, in order to find angle BMC you will have to do the same application for BCA:
180=21+37+BMC, which your answer will be 122 degrees.
Hope this helps!
Answer:
s = 0.75 inches
Step-by-step explanation:
Let s = side length of the original square
s + 3 = side length of the new square
Area of a square = s²
A = s²
A = (s+3)²
A = s² + 6s + 9
Area multiplied by 25 = 25 * s²
So,
s² + 6s + 9 = 25s²
25s² - s² - 6s - 9 = 0
24s² - 6s - 9 = 0
8s² - 2s - 3 = 0
a = 8
b = -2
c = -3
s = -b ± √b² - 4ac / 2a
= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)
= 2 ± √4 - (-96) / 16
= 2 ± √100 / 16
= 2 ± 10/16
s = 2 + 10/16 or 2-10/16
= 12/16 or -8/16
= 0.75 or -0.5
side length can not be negative
Therefore, s = 0.75
A = s²
A = (0.75)²
= 0.5625
A = (s+3)²
= (0.75+3)²
= 3.75²
= 13.95
I got -1/48 but that could be wrong
