Yes
hope this is understandably sure right easy for you
Answer:
<2 ≅<4 with reason of vertical angle theorem.
Step-by-step explanation:
The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.
Answer:
➩ 
Step-by-step explanation:

➨ We can also solve by completing both squares, however. Since we can pull out the square root.
➩ Define of Absolute Value/Square Root
➩ 
Thus, our new equation is ➩ 
To solve an absolute-value equation, let there be two conditions.
➨ Where x ≥ 0

Move x to another side

➨ Where x < 0

Answer:

Step-by-step explanation:
The circumference of a circle with radius
is given by
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle
is equal to
.
Formulas at a glance:
- Circumference of a circle with radius
:
- Length of an arc with central angle
: 
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting
into our circumference formula, we get:

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

I am going to simplify the top before simplifying the rest.
tan = sin/cos, so tan * cos simplifies down to sin in the numerator. which leaves sin/sin which equals 1.
to make a long story short the answer is 1