Uncle percy sold t-shirts at the show. Now he only have 10% of the t-shirts he started with. If he has 25 t-shirts now, how many
1 answer:
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Step-by-step explanation:
OPQ originally forms a sector, the formula for sector is
where x is the degrees of rotation between the two radii.
We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that
This isn't the standard formula, it's for this problem
So we found our angle of rotation, which is 106.26
Now, we do the sector formula.
is the area of sector.
Now let find the area of triangle, we can use Heron formula,
The area of a triangle is
where s is the semi-perimeter.
To find s, add all the side lengths up, 10,10,16 and divide it by 2.
Which is
So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get
Which is an approximate or
44.73
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Further explanation:
When two triangles are congruent, then their respective sides will also be congruent or equal
As it is given that
ΔABC≅ΔDFE
Which means that
EF = BC
ED=AC
FD=AB
Now,
Hence, the values of x, y and z are as follows:
x=10
y=5
z=2
Keywords: Similar triangles, Congruent Triangles
Learn more about congruent triangles at:
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