The square tile shown has a side length of 10.5 inches. What power can you write to represent the area of the tile? Write the po
2 answers:
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6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
Answer:
Part 1)
Part 2)
Step-by-step explanation:
Part 1) Find the measure of angle CQJ
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.
substitute the values
Part 2) Find the measure of angle LIJ
step 1
Find the measure of angle IJL
we know that
The inscribed angle is half that of the arc it comprises.
substitute the values
step 2
Find the measure of angle ILJ
we know that
The measurement of the external angle is the semi-difference of the arcs it encompasses.
substitute the values
step 3
Find the measure of angle LIJ
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
In the triangle LIJ
substitute the values