Answer:
Correct answer is option <em>D)</em> Construct the bisector of an angle.
Step-by-step explanation:
Angle bisector of an angle is a line that divides the angle in two equal parts.
A Line <em>BD</em> is called the angle bisector of 
if
Please refer to image attached.
As per the question image, if the line PW is joined it will be the angle bisector of 
.
Steps of construction of angle bisector:
1. Draw the angle QPR.
2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.
3. With the same compass opening, put the compass on Q and make an arc in the area between .
4. Draw an arc keeping the compass on R to cut the previous arc on point W.
Line joining the points P and W is the angle bisector of .
So, Correct answer is option <em>D)</em> Construct the bisector of an angle.
Answer:
d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°
Step-by-step explanation:
m<ABF = 47° (given)
m<FBE = 83°
✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)
m<ABD + 47° + 83° = 180° (substitution)
m<ABD + 130° = 180°
Subtract 130 from each side
m<ABD = 180° - 130°
✅m<ABD = 50°
✍️m<GBC = m<ABF (vertical angles)
✅m<GBC = 47° (Substitution)
✍️m<EBC = m<ABD (Vertical angles)
✅m<EBC = 50° (substitution)
✍️m<DBG = m<FBE (vertical angles)
✅m<DBG = 83° (Substitution)
Answer:
The answer is D
Step-by-step explanation:
Answer:
<h3>20</h3>
Step-by-step explanation:
According to Triangle P R Q, if angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).
We can say then that length of side PR is equal to that of RQ i.e PR = RQ
Given
PR = 5n
RQ = 32+n
Required
Length of PR
Since the two sides are equal i.e PR = RQ
5n = 32+n
5n - n = 32
4n = 32
n = 32/8
n = 4
Get PR;
Since PR = 5n
PR = 5(4)
PR = 20
Hence the length of PR is 20.
Answer:
the first one is x= 6-3y or if you are going to solve with the y it will be y =2 - x/3
the second one if you are solving for x it will be x= 2/3 + y if you are solving for y it will be x = 2/3 + x
Step-by-step explanation:
hope this helps
