Answer:
m<PTR = 140°
Step-by-step explanation:
First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.
m<PTQ = (x + 28)°
m<RTS = (2x + 16)°
m<PTQ = m<RTS (vertical opposite angles are congruent)
Therefore:
x + 28 = 2x + 16
Solve for x. Combine like terms
28 - 16 = 2x - x
12 = x
x = 12
Find m<PTQ
m<PTQ = (x + 28)
plug in the value of x
m<PTQ = 12 + 28 = 40°
m<PTR + m<PTQ = 180° (supplementary angles)
m<PTR + 40° = 180° (substitution)
m<PTR = 180 - 40 (subtracting 40 from each side)
m<PTR = 140°
Answer:
See below.
Step-by-step explanation:
1) 7/4 + 5/8
= 14/8 + 5/8
= 19/8 or 2 3/8
2) 3/2 + 4/3
= 9/6 + 8/6
= 15/6
= 5/2 or 2 1/2
3) 2/3 + 10/7
= 14/21 + 30/21
= 44/21 or 2 2/21
4) 4 - 3/17
= 68/17 - 3/17
= 65/17 or 3 14/17
Answer:
A spinner is divided into three equally sized sections. The spinner is spun three times.
-
independent, since the outcome is not affected by previous spins.
A number cube is rolled twice.
-
independent, since the outcome is not affected by previous rollings.
A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.
- not independent, since the new outcome depends on the balls that were drawn before.
Step-by-step explanation:
The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.
Answer:
if we are solving for x then it would be
x ≤ −
7.88235294
:)
No because ab can be divided by a and b.