Answer:
Hypothenus = 22
Step-by-step explanation:
From the question given above, we were told that the triangles are congruent (i.e same size). Thus,
AC = EF
BC = DE
To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:
For y:
AC = y + 3
EF = 2y + 1
AC = EF
y + 3 = 2y + 1
Collect like terms
3 – 1 = 2y – y
2 = y
y = 2
For x:
BC = 5x + 7
DE = 6x + 2y
y = 2
DE = 6x + 2(2)
DE = 6x + 4
BC = DE
5x + 7 = 6x + 4
Collect like terms
7 – 4 = 6x – 5x
3 = x
x = 3
Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:
Hypothenus = BC
Hypothenus = 5x + 7
x = 3
Hypothenus = 5x + 7
Hypothenus = 5(3) + 7
Hypothenus = 15 + 7
Hypothenus = 22
OR
Hypothenus = DE
DE = 6x + 2y
y = 2
x = 3
Hypothenus = 6(3) + 2(2)
Hypothenus = 18 + 4
Hypothenus = 22
Answer:
10
Step-by-step explanation:
4 x 5 = 20
= 10
Answer:
<u><em>12</em></u>
Step-by-step explanation:
Add 50% of 16 to 16, 50% of 16 is 0.5 * 16 = 8, 16 + 8 = 24
Multiply 24 by 50%, or 0.5 to get 12
Answer:
A = 2
B = 4
Step-by-step explanation:
To get an infinite number of solutions, both lines should be the same.
This means
A1x+ B1 = A2x + B2
So,
8x−5x+4−x=Ax+B
2x +4 = Ax +B
With this, we know the value of the coefficients
A = 2
B = 4
