Answer: AC= 10 cm and CE= 5 cm
Step-by-step explanation:
In the given picture, Δ ADE is a right triangle
∴ By Pythagoras theorem,
Since triangles ABC and ADE are similar and corresponding sides of similar triangles are proportional therefore,
Now, AE=AC+CE
⇒CE=AE-AC
⇒CE=15-10=5 cm
Answer:
tan θ = (√13)/3
Step-by-step explanation:
cosθ = 3/√22 = adj/hyp
third side of triangle has dimension
c = √((√22)² - 3²) = √13
tan θ = opp/adj = (√13)/3
5m + 4m = 72
Combine like terms.
9m = 72
Divide both sides by 9.
m = 8
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➷ If 1 student leaves each row, there are now 3 students in each row.
2 x 3 = 6
There are 6 students in the fifth row
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Hello from MrBillDoesMath!
Answer:
x = 31
Discussion:
angle A + angle C + angle B = 180 (180 degrees in a triangle)
angle A + 57 + 61 = 180 => (substitution)
angle A + 118 = 180 =>
angle A = 180 -118 = 62
By the congruence statement, angle A = angle D = 2x so
62 = 2x =>
x = 31
Thank you,
MrB
