Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).
In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.
In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .
Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
Answer:
26 and 27
Step-by-step explanation:
Let the numbers be x and y
x + y = 53
xy = 702
x = 702/y
702/y + y = 53
Multiply through by y
702 + y^2 = 53y
y^2 - 53y + 702 = 0
y^2 - 27y - 26y + 702 = 0
y(y - 27) - 26(y - 27) = 0
(y - 27) (y - 26) = 0
y = 26 or 27
Solve for x in x + y = 53
if y = 26,
x = 53 - 26 = 27
if y = 27,
x = 53 - 27 = 26
The numbers are 26 and 27
Probability helps us to know the chances of an event occurring. There are 8 different scenarios possible.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
For the given word SANDWICH, there are 8 different scenarios possible, which can be represented as shown below.
Hence, there are 8 different scenarios possible.
Learn more about Probability:
brainly.com/question/795909
#SPJ1
Answer:
99.5 minutes
Step-by-step explanation:
50=45
495=?
495×45÷50=99.5
Nothing further can be done with this solution
