Answer:
angle A and angle D equals 100 degrees, angle B and angle E equals 30 degrees, and angle C and angle F equal 50 degrees.
Step-by-step explanation:
a triangle has to equal 180 degrees, and since they are similar, it should equal the same. Hope this helped you. :))
Answer:
Okay so we need to simplify, which means to find the smallest possible number but for it to be the same.
Step-by-step explanation:
An example is: 12/20 = 3/4
It equals that because 12/20 can be rewritten as 3/4.
Another example is: 24/30 = 4/6
It equals that because 4 can be added into 24 6 times, so it would be written as 4/6.
Another example is: 15/45= 5/15
It equals that because 5 can be fitted into 15 3 times, so the answer is 5/15.
I hope this helps
Answer:
22/3
Step-by-step explanation:
Answer:
n = 13
Step-by-step explanation:
24 = 3 (n-5)
3n - 15 = 24
3n = 24 +15
3n = 39
n = 39/3
n = 13
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
