Answer:
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
all logs has base 'e'
Inverse property of log says that
, the value of ln e=1
we apply this property in our problem. ln has same base 'e' . ln and 'e' gets cancelled
OK, so;
BDE and BED are congruent because the opposite sides are both congruent
To find BDE and BED you must subtract 66 degrees from 180 degrees.
You are then left with 114 as the sum of both the angles you need to find
Since they are congruent, all you need to do is divide by two
114/2=57 degrees for both BDE (a) and BED(b)
Now for angle A and C;
This is easy because they are both congruent to the first two!
So basically, all of question four is "57 degrees"
Sadly for number 5 i did not understand the question :"(
For 6 tho;
AC is parallel to DE because angle C is congruent to angle BED
All the others can be ruled out
For 7;
BD is half the length of AE, so:
4x+20=2(3x+5)
4x+20=6x+10
20=2x+10
10=2x
x=5
This means BD is 20 bc
3(5)+5
15+5
20
And AE is 40 bc
20X2=40
or...
4(5)+20
Answer:
mean= 4.68
variance= 1.0296
Step-by-step explanation:
mean= n×p
n=6
p=0.78
mean= 6×(0.78)
= 4.68
variance= n×p×(1-p)
= 6 × 0.78×(1-0.78)
= 1.0296
Answer:
149/60
Step-by-step explanation:
11/4-27/8*1/4*1/2
11/4-27/64
149/64
Step-by-step explanation:
For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values
substituting (5,8) into 4x+y
4(5)+8
=20+8
=28
substituting(5,8) into x-y=3
5-8
= -3
