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

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of