Answer:
y=-4/3x-3
Step-by-step explanation:
You look for the slope using the the slope formula (m=y2-y1/x2-x1)
You will end up with (m=1-5/3-6)
Simplify to end up with (-4/3) as your slope.
Then, pick a coordinate point. Your choices are (6,5) and (3,1). You will us it to plug into the equation.
I am picking (3,1) The y-value here is 1 and the x-value is 3.
Your equation to find b, or the y-intercept is going to be (1=-4/3(3)+b)
You will have to simplify.
1=-4/3(3)+b
You will multiply -4/3 and -3 and end up with 4 so it looks like...
1=4+b
You subtract 4 on both sides and then end up with....
-3=b
So, the final answer is: y=-4/3x-3
The missing angles in the triangle is as follows:
- ∠1 = 62.5°
- ∠2 = 62.5°
- ∠3 = 55°
- ∠4 = 75°
- ∠5 = 50°
<h3>How to find the measure of angles in a triangle?</h3>
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
∠3 = 55 degrees (vertically opposite angles)
Vertically opposite angles are congruent to each other.
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Using exterior angle theorem ,
105 = ∠5 + 55
∠5 = 105 - 55
∠5 = 50 degrees
∠4 = 180 - 50 - 55
∠4 = 75 degrees
Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.
Hence,
∠1 = ∠2 = x
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5 degrees.
Hence,
∠1 = ∠2 = 62.5 degrees.
learn more on angles here: brainly.com/question/28641859
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Range is the second number in an ordered pair. Domain is the first. The correct answers are A, B, & D.
Answer: Ocean tides
Step-by-step explanation: when the moon orbits the earth, it's gravitational pull causes tidal movements in large bodies of water; such as the oceans.
If you were at 54 on the number line you would have to cross zero and go an extra 13 steps to get to -13.
So we want the difference between 54 and -13 or 54- -13 which becomes 54+13 which is 67 - that is the range
