One way to find the y int is to sub in 0 for x and solve for y
-3x + 9y = -54
-3(0) + 9y = -54
9y = -54
y = -54/9
y = -6....so ur y int is -6 or (0,-6)
Answer:
17/12
Step-by-step explanation:
The measure of ∠ABP and ∠ABC are 32° and 64° respectively.
<h3>what is a bisector of an angle?</h3>
Any line which divides an angle into two equal halves is a bisector of that angle.
Analysis:
Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.
∠ABC = ∠ABP + ∠PBC
∠ABC = 32 + 32 = 64°
In conclusion, ∠ABP and ∠ABC are 32° and 64°
Learn more about bisectors of angles: brainly.com/question/24334771
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<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;
Substituting the measures of ∠1 and ∠2, we get;
Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;
Thus, the measure of ∠1 is 55°