The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.
is an irrational number, it cannot be expressed in the form of a fraction.
Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. 
units
units
units
units, then
2. 
and 
are right angles - given
3. 
two right angles are always congruent.
4. 
by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Answer:
(B) 9π in²
Step-by-step explanation:
I’m going to assume that by 6 inches you meant 6π inches.
If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is 
).
So the radius is 3.
Now that we know the radius, we can find the area by using the equation 
.
Hope this helped!
29.99 + 35.00 + 3.25 + 3.25 = 71.49
125.00 - 71.49 = 53.51
53.51 ÷ 22.50 = 2.4 = 2
She can buy 2 pairs of shoes.
Hope this helps!!
~Kiwi
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
