If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.
Given that m∠ABF=41° and BF is an angle bisector.
We are required to find the angle m∠BCE if BF is an angle bisector.
Angle bisector basically divides an angle into two parts.
If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.
In this way ∠ABC=2*∠ABF
∠ABC=2*41
=82°
In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.
∠BCE+∠CEB+EBC=180 (Sum of all the angles in a triangle is 180°)
∠BCE+90+82=180
∠BCE=180-172
∠BCE=8°
Hence if BF is an angle bisector then angle m∠BCE=8°.
Learn more about angles at brainly.com/question/25716982
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Answer:
Step-by-step explanation:
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated:
5M + 2V = 18
Solve that system of equations
Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
Answer:
.53 pounds of dog food each day
Step-by-step explanation:
i divided 7 1/2 pounds by 14 days and i got 0.53571428571
Answer:
0.725 is between 0.72 and 0.73