Answer:
The scale factor is 5/2
Step-by-step explanation:
To find the scale factor, divide 20/8; that simplifies into 5/2.
20÷5/2 is 20*2/5, which is equal to 8, so you know it works.
Hope that helped!!
Sinx = opps/hyp = 1/2
2^2 = 1^2 + x^2
x = sqrt(3) = adj
Cosx = adj/hyp = sqrt(3)/2
The excluded value is -16
C
Answer:
The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
HL.
Step-by-step explanation:
The Figure is attached below
Given:
AB = DE ; BC = EF
∠C = ∠F = 90°
To Prove:
ΔACB ≅ ΔDFE
Proof:
Hypotenuse Leg Theorem:
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The abbreviation is HL
In ΔACB and ΔDFE
AB ≅ DE ……….{Hypotenuse congruent Given}
BC ≅ EF ……….{Given}
∠C ≅ ∠F = 90° …………..{Measure of each angle is 90° given}
ΔACB ≅ ΔDFE ….{Hypotenuse Leg ( HL ) Theorem}