Answer:
Answers: 46, 23, and 111
Step-by-step explanation:
To answer, we need to know the angles. Therefore, give each angle a name. Angle 1 will be x, 2 will be y, 3 will be z. So, using this system of equations:
x=2y
z=y+88
x+y+z=180
Substituting, z = 1/2(x)+88, now plug z into the third equation:
x+1/2(x)+1/2(x)+88=180
this simplifies to 2x+88=180
subtracting 88 from both sides leaves 2x=92
x=46
plug this in to the first equation: 46 = 2y, so y = 23
plug this into the third one leaves z = 111
Hope this helps!
<h3>3
Answers: B, C, F</h3>
Each of these are closed figures formed by straight line segments. Think of fencing in an area (not necessarily a rectangle) using various straight fence sections. The length of each section does not have to be the same.
Side notes:
- Choice A is not a polygon because the figure is not closed.
- Choice D is not a polygon because it is not composed of line segments only. Choice D is an ellipse instead.
- Choice E is not a polygon due to the curved portion.
Answer: 5
hrs
<u>Explanation:</u>
Jasper: 
per hr
Yolanda: 
per hr
Together: 
per hr
Jasper + Yolanda = Together
+ =
+ 
= 
3x + 21 = 7x
21 = 4x
= x
Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
A mathematical relationship or a rule mostly expressed in symbols
