2 angle A and B are Complementary means that the sum of their measures is 90°.
2 angle A and B are Supplementary means that the sum of their measures is 180°.
Thus, if the measure of angle A is x:
the measure of the supplement is 180°-x
the measure of the complement is 90°-x
"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "
let the measure of the angle be x, then we have:
180°-x=40°+2(90°-x)
180°-x=40°+180°-2x
2x-x=40°
x=40°
Answer: 40°
What is the first quartile in this data set? 67, 68, 69, 70, 70, 70, 72, 73, 73, 75, 75
NARA [144]
<em> </em><em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>✌</em><em>✌</em><em>✌</em>
I think the answer is D but in not sure
Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
Answer:
-9/4
Step-by-step explanation:
A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.
