Triangles are congruent if they have the same ______________.
2 answers:
You might be interested in
Answer:
A and C
Step-by-step explanation:
Equivalent expressions are expression which when simplified to lowest terms are equal.
Simplify each answer choice to find the expression which simplifies to .
A. Multiply the exponents 3*2 = 6. This is equal.
B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.
C. Here the numerator does equal 2. The denominator multiplies to
This is equal.
D. The denominator will have three terms here when simplified. This will not be equal.
The area of the poster is B. 535.5 in².
Step-by-step explanation:
Step 1:
The poster consists of a rectangle and three-quarters of a circle.
The rectangle has a length of a and width of 3a. The circle has a radius of a.
We calculate the areas of the individual shapes and sum them up to calculate the entire area of the poster.
Step 2:
The area of a rectangle is the product of its length and its width.
If a = 10 inches, the length is 10 inches and the width is 30 inches.
The area of the rectangle
The area of the rectangle is 300 in².
Step 3:
The area of a circle Here we only have three-quarters of a circle, so
The area of the given circle
Here r = a = 10 inches.
So the area of the circle
The area of the circle is 235.6125 in².
Step 4:
The total area of the shape = The area of the rectangle + The area of the circle.
The total area of the shape
So the area of the poster is B. 535.5 in².
