Answer:
<u>Step-by-step explanation:</u>
First, I like to draw the triangles so they look the same.
- right angle on the bottom right
- one tick mark angle on the top
- no tick mark angle on the bottom left
Now, because the angles from the top triangle are congruent to the triangle on the bottom, they are similar triangles. Therefore, their sides form a proportion. From drawing I created, the sides match up as follows:
- left <em>(top)</em> triangle → the right side = 32
- left <em>(top)</em> triangle → the base = a
- right <em>(bottom)</em> triangle → the right side = a
- right <em>(bottom)</em> triangle → the base = 2
Next, set up the proportions
Lastly, Use the Pythagorean to solve for b:
2² + 8² = b²
4 + 64 = b
68 = b²
2√17 = b
Bob has 40 pieces of chocolate. He gave n pieces to his friend Jill
We set up a proportion: 12/200= ?/100
Cross multiply:
200*?= 12*100
⇒ ?= 12*100/200= 6
12 is 6% of 200~
Answer:1/3 < 1 8/35 < 5/4
Step-by-step explanation:
Showing Work
Rewriting as fractions if necessary:
43/35, 1/3, 5/4
The least common denominator (LCD) is: 420.
Rewriting as equivalent fractions with the LCD:
516/420, 140/420, 525/420
Ordering these fractions by the numerator in order from least to greatest:
140/420 < 516/420 < 525/420
Therefore, your input in order from least to greatest is:
1/3 < 1 8/35 < 5/4