Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
Divide 3600 by 6 and its 600
Answer:
x-intercept: 2 y-intercept= -4
Step-by-step explanation:
First, change the given equation 4x-2y>8 to slope-intercept form, which is y=mx+b. We do this by solving for y.
4x-2y>8. <em>Subtract 4x from each side</em>
-2y> -4x+8. <em>Divide by -2. Don't forget to switch the sign!</em>
y< 2x-4 <em>is our equation in slope-intercept form. </em>
Now, we can graph it. We know the slope (m)= 2 and the y-intercept= -4. Start at -4 and move up two, over one, making points until you can form a line. We can see from the graph that when x=0, (0, -4) y= -4. When y=0, (2, 0), x=2. These are our intercepts of the graph!
<u>Hope this helps!</u>
Answer:
7.68$
Step-by-step explanation:
2+(1/12)=2.08
16/2.08=7.68
Answer:
= 4n
Step-by-step explanation:
Note that the values on the second row are 4 times the corresponding values on the first row , that is
1 × 4 = 4
5 × 4 = 20
10 × 4 = 40
12 × 4 = 48
15 × 4 = 60
25 × 4 = 100
Then
n × 4 = 4n ← nth term rule