The triangles in question 15 are proportional, so they are similar. Meaning that their angles are the same, so <B=<E, or <B=30 degrees.
For #17, the formula for the area of a circle is a=pi*r^2. The radius, in this instance, is 1/2 of 27, or 13.5. Plug it into the formula: a=pi*13.5^2. a=pi*182.25. If you want to simplify it further, a=572.265.
#19, same formula as #17. a=pi*r^2. a=pi*6^2. a=pi*36. a=113.04 or 113m^2.
#20, Wow this is a complicated one. Anyway, the area of the square in the middle is obviously 9m. The area of all of the circles is a=pi*1.5^2 DIVIDED BY TWO, since they're half circles. a=pi*2.25/2, a=7.065/2. a=3.5325. Since there are 4 of them, multiply that number by 4... 14.13. Add 9 to that to get the area of the whole figure: 23.13m(^2). Hope this helps.
Answer:
(-1, 2) and (-1, 3.5)
Step-by-step explanation:
The triangle ΔDEF spans 4 squares horizontally.
So, the midsegment of ΔDEF will coincide with the line 4/2 = 2 squares from the vertex F.
Note that the <em>x </em>coordinate of the vertex F is -3 and 2 units to the right of F is -1.
Therefore, the midsegment of ΔDEF coincides with the line <em>x</em> = -1.
So, the <em>x</em> coordinates of the end points of the midsegment are -1.
Let's find the <em>y</em> coordinates of the end points.
From the given figure, it is clear that the mid point of FD is half way between 3 and 4 and hence it is 3.5.
Mid point of FE is 2.
So, the co-ordinates of the end points of the midsegment are (-1, 2) and (-1, 3.5).
A) 65%
b) 68
26:40 as x:100
26/40 = x/100
Cross multiply
2600 = 40x
x = 65
———————
85% of 80
0.85 is the decimal equivalent of 85%
80 x 0.85 = 68
This confused me because there’s 7 students ?? but is it Abe because it starts with and a and is 3 letters???
