Answer:
D
Step-by-step explanation:
It's these shapes because:
Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.
Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.
A median intersects at the midpoint of the opposite length. The midpoint is:
x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3
The midpoint is at (1,3). With this point and point R(9,9), the equation would be:
y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25
Thus, the equation for the median is:
y = 0.75x + 2.25
Answer:
14
Step-by-step explanation:
Answer:
E. 18 children are buying their lunches
F. Rock must pay $50 each month
Step-by-step explanation:
E.
To find a percentage you multiply the number by the percentage;
60 x 70%(0.70) = 42 children brought their lunches
But we need the amount <u>buying</u> their lunches so we would subtract 60 by 42;
60 - 42 = 18 buying their lunches
F.
Again, to find the percentage we multiply it by the original;
$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa
Now we need to find how much Rock still needs to pay for the sofa;
$800 - $200 = $600 more needed to pay for the sofa
Lastly, we must find how much Rock will need to pay <u>each month</u> to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;
$600 / 12 = $50 needs to be paid each month for a year
The distance from Ship B to the signal fire at point C is
Explanation:
It is given that two ships A and B are at a distance 140 ft from each other.
The angle formed by ship A is 82º and the angle formed by ship B is 78º.
To determine the distance from ship B to the signal fire at point C, we need to know the another angle.
Hence, we have,
Now, we shall solve the problem using the law of sines,
Substituting the values, we have,
Simplifying, we get,
Thus, the distance from Ship B to the signal fire at point C is