Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
Answer:
First statement: Angles 1 and 3 are vertical angles.
First reason: Definition of supplementary
Second Reason: Vertical angles are congruent
Third Reason: Vertical Angles Theorem
Step-by-step explanation:
Hope this helps: Angles that form an X- Type figure are congruent.
Answer:
black line <3
Step-by-step explanation:
the slope is -2 :)
The positive divisors of 10 are: 1, 2, 5, and 10 (these are the numbers that are divisible by 10 with a remainder of 0). To find the product, you just multiply them all together: 1 * 2 * 5 * 10 = 100.
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.
