Answer: Segment BD = 15
Step-by-step explanation: Ok. So, we know that segment DE is parallel to segment BC and segment EF is parallel to segment AB. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and also intersects the other two sides, the line divides the sides proportionally. To put it more simply; because segment EF is parallel to segment AB, triangles ADE and EFC are proportional and similar. From there we must find the scale factor by which these two triangles are proportional.
We can do this by dividing the corresponding segments by; each other.
24 ÷ 20 = 1.2
Scale Factor = 1.2
Then we divide segment AD (18) by the scale factor (1.2).
18 ÷ 1.2 = 15
Since segment EF is parallel to segment AB, segment EF corresponds and is congruent to segment DB.
So,
Segment BD = 15
8, 8, 8, 8, 8, 9, 9, 9, 9 would work as a sequence.
Median: 8
Mean: 8.4444....
Answer:
79
Step-by-step explanation:
m<1 = 90 -38 = 52
m<3 = 90 - 52 = 38\
m<2 = 180-38-63 = 79
Answer:
The answer would be 11.3
Step-by-step explanation:
All you have to do is figure out how far one is from the other so from 7.8 I went back to 0 of course the Y coordinate stays the same. So then you get the -3.5 make it a positive so just 3.5 and then add to 7.8 to get 11.3
Hope this helped.
A brainliest is always appreciated.
Answer:
x = –7, x = 2, or x = 4 are factors of f(x).
Step-by-step explanation:
Given : f(x) = 5x³ +5x²-170x +280 and x + 7 is one factor .
To find : What are all the roots of the function.
Solution : f(x) = 5x³ +5x²-170x +280 .
We have given that x + 7 is factor that mean x = -7 is factor of f(x )
When we divide f(x) by x +7 we get
5x² -30x +40 =0
Taking common 5 from equation
5( x² -6x +8) =0
On dividing by 5 both sides
x² -6x +8 = 0
On factoring
x² -2x -4x +8 = 0.
Taking common x from first two terms and -4 from last two terms
x ( x -2) -4 (x -2) = 0
On grouping
(x-2) (x-4) = 0
x -2 =0
x =2
x-4 =0
x = 4
Therefore, x = –7, x = 2, or x = 4 are factors of f(x).
