Answer:
No, because the numbers in the given ratio must be multiplied by the same number.
Step-by-step explanation:
Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.
Answer:
Answer will be C. 6
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This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
Answer: .045
Step-by-step explanation:.75=.750 so, 750-705=.045
Hope this helps!
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
