Question:
What is the m∠ACB in the circle shown below?
Answer:
45
Step-by-step explanation:
So we know it is <u><em>less than a right angle</em></u> and it is not a obtuse angle it is less than 90 degrees. 45 is less, 90 is equal(<em>not what we are looking for</em>) , 120, is greater, and 180 is greater which leaves us to our answer 45.
One less than twice a number is seventeen.
The answer is x = 10, y = 10.
Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.
Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x
Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10
Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
Answer: slope= 6
Slope intercept equation= y= 6x +2
Step-by-step explanation:
Slope formula: (y2 - y1) ÷ (x2 - x1) > (-4-8) ÷ (-1-1) = -12/-2 or 6
Plug slope (-6) and one coordinate into point slope form: y-1=m (x-1)
where m is slope and (1,8) would be (x,y)
Y-8= 6(x-1) > y-8 = 5x -6 > y= 6x +2
