Answer:
rectangle
Step-by-step explanation:
got it right
Answer:
The answer to your question is y = 2/3x + 4
Step-by-step explanation:
Data
Equation y = 2/3 x + 5
New line = ?
Process
Two lines are parallel if the have the same slope. The slope is the coefficient of the x.
1.- Get the slope of the original line
y = 2/3x + 5
slope = 2/3
2.- Two find the equation of a parallel line we need to point I will use (0, 4)
Use the point slope formula
y - y1 = m(x - x1)
y - 4 = 2/3(x - 0)
y - 4 = 2/3 x
y = 2/3x + 4
Parallel lines are equal to each other(congruent). the slope is 4
Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
brainly.com/question/24746945
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