The measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28
<h3>How to determine the
measure of
angle EBF?</h3>
The angle measures are given as
If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F
Rewrite the angle measures properly.
This is done, as follows
m∠ABF = (8w − 6)°
m∠ABE = [2(w + 11)]
The measure of angle m∠EBF is calculated as:
m∠ABF = m∠ABE + m∠EBF
Substitute the known values in the above equation
8w - 6 = 2(2w + 11) + m∠EBF
Open the brackets
8w - 6 = 4w + 22 + m∠EBF
Evaluate the like terms
m∠EBF = 4w - 28
Hence, the measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28
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Answer:
1. Reflection across the x-axis
2. Translation 6 units to the left and 1 unit up
Step-by-step explanation:
The quadrilateral ABCD has its vertices at points A(3,5), B(6,5), C(4,1) and D(1,1).
1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

then

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

then

Answer:
The annual interest rate is 5.89%.
Step-by-step explanation:
Principal = $50,000
Interest = $9,375
Amount = Principal +interest
Amount = $50,000+$9,375
Amount = $59375
Time = 3 years
We are supposed to find the rate of interest
Formula : 



![\sqrt[3]{1.1875}=(1+r)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1.1875%7D%3D%281%2Br%29)





Hence The annual interest rate is 5.89%.
Answer:
d) 9 years
Step-by-step explanation:
let present age as 'x'.
then, x=2x-3(x-6)
x=2x-3x+18
x= -x+18
2x=18
x=18/2
x=9