X - 2y = -24
x - y = 4
Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y
Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28
Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32
The solution is (32, 28).
Answer:
3/32
Step-by-step explanation:
To get this answer, multiply the numerators together and the denominators together
3x1=3
4x8=32
3/32
Let us first define Hypotenuse Leg (HL) congruence theorem:
<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>
Given ACB and DFE are right triangles.
To prove ΔACB ≅ ΔDFE:
In ΔACB and ΔDFE,
AC ≅ DF (one side)
∠ACB ≅ ∠DFE (right angles)
AB ≅ DE (hypotenuse)
∴ ΔACB ≅ ΔDFE by HL theorem.
We need to find LCM of the denominators
It is found to be 24
We get the fractions (4+9)/24= 13/24
Answer:
Width: <u>13</u> inches
Step-by-step explanation:
To find the width of prism you would have to divide the volume of the prism by the area of the cross section.
First calculate the area of the cross section of the prism:
17 × 25.5= 433.5
Then divide the cross section area by the volume:
5635.5 ÷ 433.5= 13
The width is <u>13 inches</u>
