On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .
1 answer:
Answer:
The measure of side AC is 6 cm.
Step-by-step explanation:
The information for the triangle ABC are:
AB = 6 cm
m∠A = 80°
m∠B = 50°
The sum of all angles of a triangle is 180°.
Compute the value of m∠C as follows:
m∠A + m∠B + m∠C = 180°
m∠C = 180° - 80° - 50°
= 50°
Thus, the angles, m∠C = m∠B.
Consider the triangle below.
If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.
And in an isosceles triangle the sides corresponding to the equal angles are equal.
Then in this case as m∠C = m∠B then sides AC = AB.
The measure of the side AC is 6 cm.
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Answer: C. Y = 5x + 5
Step-by-step explanation:
We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. <em>See attached for a visual</em>.
First, we will find our slope. We will use for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.
-> Slope = 5
Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.
-> Y-intercept = 5
Lastly, we will write our equation and decide on an answer.
y = <em>m</em>x + <em>b</em>
y = (5)x + (5)
Y = 5x + 5
C. Y = 5x + 5
