Answer:
452+(783-546)
Step-by-step explanation:
Add 452 ; 452+
the difference of 783 and 546 ; 783-546
You add in the parentheses so that you're adding 452 to the difference of the two other numbers instead of to 783.
The answer is 65° because 115° and another number has to add up to 180°
w x L = 36
w = L- 5
L x ( L-5 ) = 36
L^2 -5L -36 =0
<span>Use the quadratic formula
L= - b + radical b^2 - 4 (a)(c) divided 2.a
L= 5 + 13 / 2 = 18 /2 =9</span>
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
