9n+15 is the right answer. Have a good day! :)
Answer:
25 +60
Step-by-step explanation: The first thing you need to do is realize that, this figure is a isosceles trapezoid due to the markings on each side.
So now we know both sides are 10.
We also know the the top two angles are congruent to each other and so are the bottom two angles due to the trapezoid being isosceles.
So the top two angles are 120 degrees and bottom two angles are 60 degrees.
It seems like we can't find the sides, let's try drawing two lines from each top angle all the way down to form two right triangles.
Wow, these two triangles are special right triangles in the form of
30 - 60 - 90 degrees.
shorter side = n
longer side = n
hypotenuse = 2n
So, 2n = 10
n = 5 for the short side
The bottom base is 4 + 5 + 5 = 10 + 4
The longer side is 5.
The area of trapezoid = (base1 + base2)/2 * height
= (4 + 10 + 4)/2 * 5 = (10 + 8)/2 * 5 = (5+4)*5 = 25 +60
So, 25 + 60 is our answer.
Answer:
2^2 x 5 x 11
Step-by-step explanation:
Take out the common factor
Answer:
Johnny has 1000$ to spend. He wants to split it between games and cds. Cds are 8$ for one and games are 10$ write a system of equations to get the amount of cds and games he can get without going over
Step-by-step explanation:
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
- AB is the radius of circle C1
- AB is the radius of Circle C2
AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.