Answer:
The measurement of angle HBC is m∠HBC=61°
Step-by-step explanation:
The given problem states that
The line BH divides angle EBC into two equal parts,
consult the attached diagram for clarity
thus
m∠EBC=m∠EBH+m∠HBC
where m∠EBH=m∠HBC
therefore
m∠EBC=2(m∠EBH)
Insert the provided values to solve for a
Determine the value of angle EBH
m∠EBH=(4(4)+45)=61°
Keep in mind that
m∠EBH=m∠HBC
therefore
The measurement of angle HBC is m∠HBC=61°
Two instances where decimals may be evident are in automobile sales or grocery shopping.
Answer:
40%
Detailed solution:
John Smith and Susan Jones have contributed $240,000 and $160,000 respectively toward Expo Company. We are tasked with determining the proportion of the business owned by Susan.
First, calculate the total investment by summing both contributions.
Next, find what percentage $160,000 is of the total $400,000.
Thus, Susan's share in the company is 40%.
Answer: B)1,047 feet
Step-by-step explanation:
To tackle this question, we begin by determining the circumference of the tire:
Circumference(C) is defined as: π x diameter
C = π (20) = 62.83 inches.
Knowing that 1 foot consists of 12 inches, we can convert this value:
62.83 ÷ 12 = 5.23 feet
Lastly, multiplying this result by 200 yields:
5.23 x 200 = 1,047 feet
If you need any further assistance or if something is unclear, feel free to ask.
Answer:
perimeter = 28
Step-by-step explanation:
When tangents are drawn from a point outside a circle, the lengths are equal, therefore
AH = AB = 5
GH = GF = 2
EF = ED = 3
CB = CD = 4
By adding these eight segments together, the total perimeter for polygon ACEG
perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28
