1. 82000
2. 60
3. 92
4. 80,400
I'm not 100 percent sure because I'm not good at math, sorry
Given :
▪︎Measure of ∠R = 90°
▪︎Segment OR = Segment RN
Which will mean, ∠O = ∠N.
Thus :
![=\tt ∠R + ∠O + ∠ + N = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%20%E2%88%A0R%20%2B%20%E2%88%A0O%20%2B%20%E2%88%A0%20%2B%20N%20%3D%20180)
![= \tt90 + x + x = 180](https://tex.z-dn.net/?f=%20%3D%20%5Ctt90%20%2B%20x%20%2B%20x%20%3D%20180)
![=\tt 90 + 2x = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%2090%20%2B%202x%20%3D%20180)
![= \tt2x = 180 - 90](https://tex.z-dn.net/?f=%20%3D%20%5Ctt2x%20%3D%20180%20-%2090)
![=\tt 2x = 90](https://tex.z-dn.net/?f=%20%3D%5Ctt%202x%20%3D%2090)
![=\tt x = \frac{90}{2}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%20%20%5Cfrac%7B90%7D%7B2%7D%20)
![=\tt x = 45](https://tex.z-dn.net/?f=%20%3D%5Ctt%20x%20%3D%2045)
Which means :
Measure of ∠O = 45°
Measure of ∠N = 45°
Therefore, the measures of these angles in ascending order = 45,45,90.
Answer:
x² + y² = 144
Step-by-step explanation:
The general equation of a circle is given as
(x - a)² + (y-b)² = r²
where a and b are the center of the circle along the x and y axis respectively and r is the radius of the circle.
Hence a circle that has its center at the origin and has a diameter of 24 units, we can deduce that the values of a,b are 0,0. Also,
radius = diameter/2
= 24/2
= 12 units
Hence the standard equation of the circle
(x - 0)² + (y - 0)² = 12²
x² + y² = 144
Its b because blue plus white is 16, so blue and white combined have the same as black
Hope this helps :D
Answer:
234 Square Inches
Step-by-step explanation:
Length of the Painting=16 in
Width of the Painting= 11 inch
Since the mat adds 1 inch to each side of the length and the width.
Therefore:
Length of the mat=16+1+1=18 Inch
Width of the Mat=11+1+1=13 Inch
Area of the Mat= Length X Width
=18X13=234 Square Inches