Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
What is the elevation of Lucas Oil Field?
Solving the above equation:
The elevation of Lucas Oil Field is of 715 feet.
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
Answer:
A
Step-by-step explanation:
Answer:
The angle is 50.2°.
Step-by-step explanation:
The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.
Therefore the angle θ formed by the sun's rays and the ground is:
