Answer:
c = 73
Step-by-step explanation:
We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.
The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.
B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106
b and c are supplementary (they fall in a line and thus add up to 180 degrees). So
106 + c = 180
c = 180 - 106 = 74
<em>Looking at the answer choices, c is given as 73, which is wrong! Hence, </em><em>last statement is not true.</em>
If I’m not mistaken I think this is what you’re asking for?
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.
9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b
so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
Answer:
1.C
2.A
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
