What are the answers for 123456 25 points

1)The sum of angles in a triangle is 180°

To find the value of x, we sum all the angles in the triangle and equate to 180°.

Subtract 73 from both sides

Therefore the triangle is obtuse.

C) 107°, obtuse

2) To find the rule of the transformation, we analyze the coordinates of the preimage and the image

So we can see that, each time 1 is subtracted from the first coordinate and 3 is subtracted from the second coordinates to get the image coordinates.

Therefore the rule is:

D

3) The given angle is 58°.

Since translation is a rigid motion, the preimage and the image of the angle are congruent.

Therefore the Translated angle measures 58°, because translation preserves angle measure.

The correct answer is C.

C

4)

4) By vertical angles theorem, <4 is congruent to <6.

<4 and <2 are congruent by corresponding angles property.

<4 and <8 are congruent by alternate interior angles property.

The <7 is not congruent to <4

C

5) The rule for 90° clockwise rotation about the origin is

The vertex W of the square has coordinates W(1,5)

After a rotation of 90° clockwise about the origin, the image will be:

A

6) The given point is (11,1).

When we translate 10 units down, the new coordinates will be (11,1-10)=(11,-9)

When we reflect over x-axis, we get:

(11,--9)=(11,9). because we negate the y-coordinate.

A

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: 3.26019516

step-by-step explanation: