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pochemuha
3 years ago
6

Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4

)? a 180 (dagree) rotation about the origin a 90 (dagree) counterclockwise rotation about the origin and a translation down 4 units a 90 (dagree) clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90(dagree) clockwise rotation about the origin

Mathematics
1 answer:
Romashka [77]3 years ago
6 0
The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line y=-x. This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.

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An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best re
strojnjashka [21]

Answer:

An artist is making a scale model of a statue. On the model 2 inches represents 1 foot on the actual statue. Which graph best represents

this relationship?

8 0
3 years ago
A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.
Oksanka [162]
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
3 0
3 years ago
2 lines connect to form a right angle. A third line extends between the 2 lines to form 2 angles which are labeled 1 and 2. Angl
Elza [17]

Answer:

the correct answer is 45°

6 0
3 years ago
Which represents the solution set of the inequality 15y-9<36?
hram777 [196]
1) Add 9 to both sides
2) You get 15y<45
3) Divide by 15 on both sides
4) You get y<15

Remember that < is less than and > is greater than
Also note that when you divide by a negative number, you need to flip the inequality symbol.
4 0
3 years ago
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
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