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
Answer:
1. m<2 = 115 °
2. m<5 = 83 °
3. m<8 = 45 °
4. m<4 = 137 °
Step-by-step explanation:
1. Determination of m<2
m<1 = 115 °
m<2 =?
m<2 = m<1 (vertically opposite angles are equal)
m<2 = m<1
m<2 = 115 °
2. Determination of m<5
m<6 = 83 °
m<5 =?
m<5 = m<6 (vertically opposite angles are equal)
m<5 = m<6
m<5 = 83 °
3. Determination of m<8
m<9 = 45 °
m<8 =?
m<8 = m<9 (vertically opposite angles are equal)
m<8 = m<9
m<8 = 45 °
4. Determination of m<4
m<3 = 137 °
m<4 =?
m<4 = m<3 (vertically opposite angles are equal)
m<4 = m<3
m<4 = 137 °
Hey there!
The distributive property is defined as:
a(b+c) = ab+ac.
Since a is being multiplied by b and c, it's a common factor. In this situation, our common factor is 6, as it goes into 6x and 42. So, we have:
6(7 + x)
Hope this helps!
1 2/3 divided by 3/16
5/3 / 3/16
KCF (Keep, Change, Flip)
5/3 * 16/3
5 * 16 = 80
3 * 3 = 9
5/3 * 16/3 = 80/9
8 8/9
Hope this helps!
Answer:
x - intercepts: (-5,0), (5,0), (7,0)
I'm not sure if you would count these, but x and y also have the intercept of (0,0).
