Step-by-step explanation:
The vertical angles are congruent. The right angles are congruent. There are 2 angles of a triangle congruent to 2 angles of anther triangle. By AA Similarity the triangles are similar.
Statement A. (vertical angles are congruent)
Statement D. (right angles are congruent)
Triangle AEC is similar to triangle BDC.
Statement E is true but does not help.
Correct statement of proportional side lengths:
BD/AE = CD/CE
x/150 = 200/50
x/150 = 4
x = 600
P.S. I think there is a mistake in the problem. I don't think that statement E is correct. It is a true statement, but it is useless. Statement F is false.
Answer: y = 0.4x
In fraction form, this is y = (2/5)x
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Explanation:
For each row, divide the y over x values
- Row One: y/x = 0.8/2 = 0.4
- Row Two: y/x = 4/10 = 0.4
- Row Three: y/x = 6/15 = 0.4
- Row Four: y/x = 10/25 = 0.4
We end up with the same thing each time.
Since y/x = 0.4, this rearranges to y = 0.4x
Alternatively, you can write the equation as y = (2/5)x because 2/5 = 0.4
Answer:
4x+6
Step-by-step explanation:
The quotient of a number and 4 translates to 4x because, "a number" in the expression is x, and it is being multiplied by 4, so you get 4x. six more than would mean adding 6. So the answer would be 4x+6. Thank you! Good Luck!
Answer:
0
Step-by-step explanation:
It is not permissible for the denominator of a fraction to equal zero.
Set 9y = 0
y = 0
Answer:
300
Step-by-step explanation:
Sum the parts of the ratio, 3 + 4 = 7 parts
Divide the total by 7 to find the value of one part of the ratio.
700 ÷ 7 = 100 ← value of 1 part of the ratio, thus
3 parts = 3 × 100 = 300 ← number of girls
4 parts = 4 × 100 = 400 ← number of boys
