Hey there!
Let's create a systems of equations using x and y.
4x+3y=15
3x-2y=7
We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.
2 2/3x+2y=10
3x-2y=7
Now we combine the equations...
5 2/3x=17
x=3
Now we can plug our x into the first equation to find y.
12+3y=15
y=1
Our numbers are 3 and 1.
I hope this helps!
Answer:
BE = FC = 3 inches, EF = 2 inches
Step-by-step explanation:
The sum of angles A and D is 180°, so the sum of their half-angles is 90°. That is, half of A plus half of B add to 90°, so the bisector from B intersects AE at a right angle. Call that point of intersection X.
Then angle ABX = angle EBX, so triangle ABX is congruent to triangle EBX. Sides AB and BE are corresponding sides of congruent triangles.
The same argument applies to sides DC and CF.
Thus we have BE = CF = 3 inches, and EF is the left-over distance, 2 inches.
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The number that is 150 more than the product of 5 and 4892 is 24700
Answer:
C. 12/15
Step-by-step explanation:
2/3, 6/9, and 18/27 all simplify to 2/3. 12/15 does not.
