D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.
C
is wrong as well. The triangles might be similar, but they are more. They are congruent.
B
You don't have to prove that. It is given on the way the diagram is marked.
A
A is your answer. The two triangles are congruent by SAS
The answer is 66.
Explanation
4×3 = 12,
6×9 = 54.
54+12 = 66
To do this the first box on the left corner it says three and four so you multiply them. Then there’s a second box with six and nine. You have to multiply 6 and 9 together. After you get those answers you add that answer with the answer from three times four.
Hope I helped you!
:)
When we want to determine the relative position of two lines, the first thing we can do is to write them in the same form.
We can use the form y=mx+k, where m is the slope.
the given lines are lines in plane. The "skew" case cannot be considered.
i) if 2 lines have same slope, but different k, then they are parallel,
ii) if 2 lines have equal slope (m) and k, then they are coinciding
iii) if the multiplication of their slopes is -1, then they are perpendicular
iv) if the slopes are not equal, and their multiplication is not -1, then the lines are intersecting
2.
4x+2y=8
2y=-4x+8, divide by 2
y=-2x+4
the other line is y=2x+4
-2 and 2 are not the same so the lines are neither parallel, nor intersecting.
-2 * 2 is not equal to -1, so the lines are neither perpendicular.
The lines are intersecting.
If you add $300 and $600 and you spent 1,300. you would have 2,200 dollars left in all.
