Based on the triangle sum theorem, exterior angle theorem, the true statements are:
m∠5 + m∠6 = 180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
<h3>What is the
Triangle Sum Theorem and the Exterior Angle Theorem?</h3>
According to the triangle sum theorem, m∠2 + m∠3 + m∠5 = 180°.
Also, based on the exterior angle theorem, m∠2 + m∠3 = m∠6.
∠5 and ∠6 are a pair of linear angles, therefore: m∠5 + m∠6 = 180°.
In summary, the true statements about the diagram given are:
- m∠5 + m∠6 = 180°
- m∠2 + m∠3 = m∠6
- m∠2 + m∠3 + m∠5 = 180°
Learn more about the triangle sum theorem on:
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(5x - 18) - 4x = -36
Let's solve your equation step-by-step.
5x − 18 − 4x = −36
Step 1: Simplify both sides of the equation.
5x − 18 − 4x = −36
5x + −18 + −4x = −36
(5x + −4x) + (−18) = −36 (Combine Like Terms):
x + −18 = −36
x − 18 = −36
Step 2: Add 18 to both sides.
x − 18 + 18 = −36 + 18
x = −18
Answer: ========> x = -18 is the number
Hope that helps!!!! : )
Answer:
y-intercept is zero
Step-by-step explanation:
The general equation of the line passing through the points is
y = mx + b
where m is the slope and b is the y-intercept
We can pick any two points to get the slope of the line;
m = (55.25-8.5)/(13-2) = 46.75/11 = 4.25
So partially , the equation will be;
y = 4.25x + b
To get b , substitute any point and use its x and y values
We have (2,8.5)
8.5 = 4.25(2) + b
b = 8.5-8.5
b = 0
Answer:
Step-by-step explanation:
Putting value of n = 3 in equation
(3)2 + 3 + 5
9 + 8
= 17