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°.
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Answer:
g= - 32
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Add 5 to both sides.
Step 4: Multiply both sides by 4/(-1).
g=−32
#9 You have to make the fraction a decimal, then multiply 11.8 by 6.5. This is because 11.8 is per hour.
#10 here is a hint, one quarter of an hour is 15 minutes. again change the fraction to a decimal
#11 just multiply the 2 numbers
1.4
×2.9
---------
126
+ 280
------------------
3.06
The answer that I got was side WX = 12 inches
It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.
With this information I set up an equation:
3m-4 + 3m-4 +m = 76
(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).
I combined like terms on the left side and ended up with:
7m-8=76
I added 8 to both sides of the equation and got 7m=84.
Finally I divided both sides by 7 and got m=12
m is equivalent to side WX..
Hope this helps!
Answer: its an interrogative sentence
Step-by-step explanation:
