Answer:
A, it starts at 3 since it is non proportional as well as being a postive graph.
Step-by-step explanation:
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
Answer:
32
Step-by-step explanation:
Our total is x.
Maysa took half of the cherries, so there is .5x left.
Nabilla took half of the remaining, so that is .5*0.5x, which is .25x
Abdulla took 3.
Your equation is:
.25x-3=5
.25x=8
x=32
So there are 32 cherries
Answer:
t = 100 minutes, or 1 hr, 40 minutes
Step-by-step explanation:
5/15 of 1 hour is the same as 5/15 of 60 minutes, which is 20 minutes
you can set up a proportion of hw completed / minutes = hw completed / min:
(1/5 ÷ 20) = (1 ÷ t) we use '1' to indicate all homework (or 100% of hw) and 't' to indicate time required
cross-multiply to get:
20 = 5/t
t = 100 minutes, or 1 hr, 40 minutes
Answer:
Y = 23°
X = 28°
Step-by-step explanation:
[] First, we can tell that (5y - 4) + (3y) = 180 because the parallel lines allow for corresponding angles, and then they are supplementary;
(5y - 4)° + (3y)° = 180°
5y° - 4° + 3y° = 180°
8y° - 4° = 180°
8y° = 184°
y = 23°
[] Next, we can solve for (5y - 4) and use that number as a corresponding angle to solve for (2x + 13);
5y - 4
5(23) - 4
115 - 4 = 111
[] Last, we will solve for x using the same reasoning as how we solved for y;
111° + (2x + 13)° = 180°
111° + 2x° + 13° = 180°
111° + 2x° + 13° = 180°
124° + 2x° = 180°
2x = 56°
x = 28°
