Answer:
mM = 113 and mN = 61
Step-by-step explanation:
In a Cyclic quadrilateral, the rule states that:
The sum opposite interior angles is equal to 180°
In the above diagram, we have cyclic quadrilateral KLMN
According to the rule stated above:
Angle K is Opposite to Angle M
So, Angle K + Angle M = 180°
Angle K = 67°
67° + Angle M = 180°
Angle M = 180° - 67°
Angle M = 113°
Angle L is Opposite to Angle N
so Angle L + Angle N = 180°
Angle L is given as = 119°
119° + Angle N = 180°
Angle N = 180° - 119°
Angle N = 61°
Therefore, Angle M = 113° and Angle N = 61°
Answer:
The circumference of Dan's circle is approximately 50.27 inches.
Step-by-step explanation:
The length of the circumference (
), measured in inches, is determined by the formula:
(1)
Where
is the radius, measured in inches.
If we know that
, then the length of the circumference is:


The circumference of Dan's circle is approximately 50.27 inches.
Answer:
y=−2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6y+2(3y−5)=−34
6y+(2)(3y)+(2)(−5)=−34(Distribute)
6y+6y+−10=−34
(6y+6y)+(−10)=−34(Combine Like Terms)
12y+−10=−34
12y−10=−34
Step 2: Add 10 to both sides.
12y−10+10=−34+10
12y=−24
Step 3: Divide both sides by 12.
= 
y=−2
Answer:
(0, -3) and (3, 0)
Explanation:
1st equation: y = x² -2x - 3
2nd equation : y = x - 3
Using substitution method:
x² -2x - 3 = x - 3 <em>exchange sides</em>
x² - 2x - x - 3 + 3 = 0 <em>simplify</em>
x² - 3x = 0 <em> take common factor</em>
x(x - 3) = 0 <em>simplify</em>
x = 0, 3
Solve for y:
when x is 0, y = x - 3 = 0 - 3 = -3
when x is 3, y = x - 3 = 3 - 3 = 0
The y-intercept would elevate up the y-axis by 3
This is because the y-intercept in y= -4x+2 is 2 and when you change it to y= -4x+5 you are moving the intercept to a y of 5.