Answer:
∠APC ≅ ∠DPB angles adjacent to the same angle are congruent to each other.
Explanation:
Because they share an angle created by P, they are adjacent.
I hope this helped :)
Answer:
I believe it's A)
Step-by-step explanation:
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:

So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
The area of this trapezoid is 90 square feet.
<h3>Explanation : </h3>
Before we know the answer, let's we know the formula first. The formula for count the area of trapezoid is :

If :
- A = area of trapezoid
- a = bottom bases of trapezoid
- b = top bases of trapezoid
- h = height of trapezoid
Okay, let's we count its :
We know that :
- a = bottom bases of trapezoid = 18 feet
- b = top bases of trapezoid = 12 feet
- h = height of trapezoid = 6 feet
Question : A = area = ... ?
Answer :

<u>Subject</u><u> </u><u>:</u><u> </u><u>Mathematics</u>
<u>Keyword</u><u> </u><u>:</u><u> </u><u>Count</u><u> </u><u>The</u><u> </u><u>Area</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>shape</u>