Theorem:
Vertical angles are congruent.

If the angles are vertical angles, they are congruent.
Congruent angles have the same measure.

If <2 measures 31 deg, then <1 also measures 31 deg.

7 0

3 years ago

Find the perimeter of the triangle defined by the coordinates (9, 0), (-5, 0), and (-10, 6). (Round to nearest tenth)

Masteriza [31]

The perimeter is 41.7

Find the length of each side using the distance formula:
$d=\sqrt{(0-0)^2+(-5-9)^2}=\sqrt{0^2+14^2}=\sqrt{196}=14
\\
\\d=\sqrt{(6-0)^2+(-10--5)^2}=\sqrt{6^2+(-5)^2}=\sqrt{36+25}=\sqrt{61}=7.8
\\
\\d=\sqrt{(6-0)^2+(-10-9)^2}=\sqrt{6^2+(-19)^2}=\sqrt{36+361}=\sqrt{397}=
\\19.9$

Adding the side lengths, we have
14+7.8+19.9=41.7

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to the given expression -1/2(6x+9)-(x-3/2)

12345 [234]

Answer:

$-1/2(6x+9)-(x-3/2) \: is \: equivalent \: to \: -2/4(6x+9)-(3x-9/6) \\$