Answer:
x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
Step-by-step explanation:
Given the function y = 7x + 3
The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:
0 = 7x + 3
7x + 3 = 0
7x = -3
x = -3/7
Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:
y = 7(0) + 3
y = 0 + 3
y = 3
Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
For every 3 green grapes there are 4 black grapes.
There are 24 green grapes, which is 3*8, so there must be 4 * 8 = 32 black grapes.
Answer:
??
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
every o e move you make on x you make 7 on y. (made 2 moves in x and moved 14 on y) so if you moved 21 on y.... 21/7=3 so you move 3 on x so 4+3=7
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.