Answer:
you are going through this week of x factor of x and technology practical pdf the new modal and F kisna of x and technology practical pdf the new modal and F kisna of x and technology practical pdf the new modal and F kisna of x and technology practical pdf the new modal and F kisna of x and
Answer:
In standard form the first equation is 3x + 4y = 12
Step-by-step explanation:
In order to find this, we need to solve for the constant and then eliminate the denominators.
y = -3/4x + 3
3/4x + y = 3
3x + 4y = 12
1/5 hour = 1 mile
Multiply each side by 5
1 hour = 5 miles.
Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).
Answer:
Angle 1 = 75°
Angle 2 = 55°
Angle 3 = 55°
Angle 4 = 40°
Angle 5 = 140°
Angle 6 = 40°
Angle 7 = 75°
Angle 8 = 65°
Angle 9 = 115°
Step-by-step explanation:
1) We start with angle 2
Angle 2
Angles on a straight line = 180°
Hence,
b + 125° = 180°
b = 180° - 125°
b = 55°
Angle 2 = 55°
2)Angle 1
The sum of angles in a triangle = 180°
Hence
Let Angle 1 = a
50° + 55° + a = 180°
a = 180° - (50° + 55°)
a = 180° - 105°
a = 75°
3)Angle 3
Angle 2 and Angle 3 are vertical angles
So we use the Vertical angle theorem
This means
Angle 2 = Angle 3
Angle 2 = 55°
Hence, Angle 3 = 55°
4) Angle 4
Sum of Angles in a triangle = 180°
Let Angle 4 = d
Hence:
85° + Angle 3 + d = 180°
85° + 55° + d = 180°
d= 180° - (85° + 55°)
d = 180°- 140°
d = 40°
5)Angle 5
Angle 4 and Angle 5 are angles on a straight line
Sum of angles on a straight line = 180°
Angle 4 = 40°
Let Angle 5 = e
Hence:
40° + e = 180°
Collect like terms
e = 180° - 40°
e = 140°
6) Angle 6
Angle 4 and Angle 6 are vertical angles
Using Vertical angle theorem,
Angle 4 = Angle 6
Angle 4 = 40°
Hence, Angle 6 = 40°
7)Angle 9
Solving for Angle 9,
Sum of angles on a straight line = 180°
Angle 9 = i
i + 65° = 180°
i = 180° - 65°
i = 115°
8) Angle 8
= Angle 9 and Angle 8 are angles in a straight line
= Angle 8 = h
h + 115° = 180°
h = 180° - 115°
h = 65°
9)Angle 7
Sum of angles in a triangle = 180°
Angle 7 = g
g = 180° - (65° + Angle 6)
= 180° - (65 + 40
= 180° - 105°
= 75°
