Answer:
Geometric proof in explanation.
Step-by-step explanation:
Draw an equilateral triangle.
A equilateral triangle has it's sides all congruent and all it's angles measures 60 degrees.
We are going to draw a line segment to cut the equilateral triangles into two congruent right triangles. I will do this in the attachment with p being positive.
You can see we will get 30-60-90 triangles.
We don't need to find the adjacent measurement to the angle whose measurement is 30 degrees since sine is opposite over hypotenuse.
Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
The answer is true, false, true, and false
Answer:
Standard Form:
82.3
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
82.3 =
80
+ 2
+ 0.3
Expanded Factors Form:
82.3 =
8 × 10
+ 2 × 1
+ 3 × 0.1
Expanded Exponential Form:
82.3 =
8 × 101
+ 2 × 100
+ 3 × 10-1
Word Form:
82.3 =
eighty-two and three tenths
Step-by-step explanation:
I did all the work
