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:
He washed 10 cars.
Step-by-step explanation:
To make this easier covert 1/2hours into 1/4 hours. 2 1/2 = 4/2+1/2 = 5/2. Now take 5/2 and make it 1/4th's, 5/2 = 10/4. It takes 1/4 hours to wash one car so, 10/4 divided by 1/4. Don't divide fractions so, 10/4 x 4/1, we switch the second number around to get 40/4. Now we can simplify, 40/4 = 10.
Answer:
Complementary angles are a pair of angles that sum up to 90 degrees. Supplementary angles are a pair of angles that sum up to 180 degrees.
Step-by-step explanation:
A. Confined to a specific geographic area
A pandemic is a disease or illness prevalent over an entire country or world.
Answer: D. 0.8125
Step-by-step explanation: His expenses is $975, and his salary is $1200. Divide the expenses by the salary to find the debt-to-income ratio.
975/1200 = 0.8125
The debt-to-income ratio is 0.8125.