slope = (y2-y1)/(x2-x1)
= (2--1)/(5-1)
= (2+1)/(4)
=3/4
The point slope from of a line is
y-y1 = m(x-x1)
y--1 = 3/4 (x-1)
y+1 = 3/4 (x-1)
First we must change these numbers to improper fractions:


So then we set it up:
÷ 
When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

Then we solve:

Then if we divide the numerator and the denominator by 9, we get:
or, in mixed-number form,
.
Answer:
x = 15
Step-by-step explanation:
6/4 = 1.5
1.5*10 = 15
Check your work:
15/10 = 6/4 = 1.5
x = 15 is right
Answer:
4Q a). angle1=55°
angle2=23°
angle3=63°
angle4=125°
5Q. x=35°
6Q. y=15°
8Q. C. 28°
9Q. Yes, they are congruent by S.S.S. congruence
10Q. A.A.S.
11Q. S.S.S.
12Q. Not possible
13Q. S.A.S.
14Q. S.S.S.
15Q. 66°
16Q. 24°
I hope it will be useful.
Step-by-step explanation:
7Q. angle1=angle3 (Alternate Interior Angles)
angle2=angle4 (A.I.A.)
angleXWZ=angleXYZ (opposite angles of a parallelogram)
By A.A.A. congruence criteria, they are congruent.
8Q. Hint: Make the diagram first!
AngleC is halved since M is the mid-point.
angleA=angleB (Property of an isosceles triangle)
which implies, angleAMC=angleBMC=90°
Thus, CM is perpendicular to AB.
I hope it will be useful.
Answer:
4/7 or 0.
571428 repeated
Step-by-step explanation: