1. vertical angle theorem and triangle angle sum theorem
2. The sum of the interior angles of a triangle = 180
so < x = 180 - (70 + 30) = 180 - 100 = 80
and < y is a vertical angle to < x...and vertical angles are equal..
so < y = 80
Answer:
(0, -6)
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> - slope
<em>b</em> - y-intercept
Step 1: Write standard form
3x - 7y = 42
Step 2: Rewrite in slope-intercept form
- Subtract 3x on both sides: -7y = 42 - 3x
- Divide both sides by -7: y = -6 + 3/7x
- Rewrite: y = 3/7x - 6
Step 3: Find y-intercept
<em>b</em> = -6
A constant is a number, or a letter that represents a number that
never changes. From the time the problem starts until as long
as it lasts, its value is constant.
A variable is a letter that stands for a number that can change.
A coefficient is each of the items in a group of them that are all
multiplied together.
Example: 17x + 4y
That's an expression with two terms.
The terms are '17x' and '4yz'.
In the first term:
'17' is the numerical coefficient.
'x' is the literal coefficient.
In the second term:
'4' is the numerical coefficient.
'y' and 'z' are both literal coefficients.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
<h3>What is a hexagon?</h3>
The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be

The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
brainly.com/question/3295271
Step-by-step explanation:
2x^2+3x=20
5x^2=20
x^2=4

x=2