Answer:
One
Step-by-step explanation:
9/sin(34) = 6/sinC
sinC = 0.372795269
C = 21.9, 158.1
Since 158.1 + 34 = 192.1 > 180
Only one triangle can be formed with angle 21.9° at C
Answer:
C. Student 3
E. Student 5
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
<u><em>Verify the midpoint of each student</em></u>
student 1
we have the endpoints
(-9,0) and (11,-8)
substitute in the formula
so
The midpoint is not (-1,4)
student 2
we have the endpoints
(-6,-1) and (4,-7)
substitute in the formula
so
The midpoint is not (-1,4)
student 3
we have the endpoints
(-5,2) and (3,6)
substitute in the formula
so
<u>The midpoint is equal to (-1,4)</u>
student 4
we have the endpoints
(-3,10) and (5,-2)
substitute in the formula
so
The midpoint is not (-1,4)
student 5
we have the endpoints
(0,-3) and (-2,11)
substitute in the formula
so
<u>The midpoint is equal to (-1,4)</u>
therefore
Student 3 and student 5
4 Pizzas. $14x4=$56 and you have $4 left over
Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
Find the equation of the line (direct variation)
we have
substitute
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
therefore
The system of inequalities is
Answer:
487=3x-17
487+17=3x-17+17
3x=53
3x/3=53/3
x=168
Step-by-step explanation: