Answer: 2/3, 29/36, 5/6, 8/9
Step-by-step explanation:
You find the common denominator you could use for all fractions. In this instance, you can use 36 for the common denominator.
2/3: 36/3=12, 2x12=24 therefore 2/3 becomes 24/36.
29/36: you leave this one alone, it has already been simplified.
5/6: 36/6=6, 6x5=30 therefore 5/6 becomes 30/36.
8/9: 36/9=4, 8x4=32 therefore 8/9 becomes 32/26.
The correct answer is option C which is 3 sets of 2 negative tiles.
<h3>What is multiplication?</h3>
Multiplication is the process of determining the product of two or more numbers in mathematics.
We have the product of 3 and -2. We can represent this as 3 is equivalent to -2 negative tiles.
When we add -2 three times -2 - 2 -2 = -6 we will get -6 that is 3 sets of 2 negative tiles.
So when we multiply it by 3, we end with 3 sets of 2 negative tiles. This is because the order of the factors does not change the product.
Therefore the correct answer is option C which is 3 sets of 2 negative tiles.
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We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.
Pythagorean Theorem:
a^2 + b^2 = c^2
We can fill in the values of a^2 and c^2, and then solve for b.
14^2 + b^2 = 25^2
196 + b^2 = 625
Subtract 196 from both sides.
b^2 = 429
√ both sides.
b = 20.7
<h3>The value of x, or b, is equal to 20.7.</h3>
Answer:
5
Step-by-step explanation:
Add the numbers together, then divide that by the amount of numbers
(2 + 7 + 6 + 1 + 9 + 2 + 4 + 9)/8
40/8 = 5
Given:
AB is the diameter of a circle.
m∠CAB = 26°
To find:
The measure of m∠CBA.
Solution:
Angle formed in the diameter of a circle is always 90°.
⇒ m∠ACB = 90°
In triangle ACB,
Sum of the angles in the triangle = 180°
m∠CAB + m∠ACB + m∠CBA = 180°
26° + 90° + m∠CBA = 180°
116° + m∠CBA = 180°
Subtract 116° from both sides.
116° + m∠CBA - 116° = 180° - 116°
m∠CBA = 64°
The measure of m∠CBA is 64°.
