5/9 is grater than 7/12. same with 9/12, 6/7, 6/9
Answer:
1240000 (3 sig. fig.)
Step-by-step explanation:
1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)
Answer:
x = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 12
Hypotenuse <em>c</em> = 13
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: x² + 12² = 13²
- Evaluate exponents: x² + 144 = 169
- [Subtraction Property of Equality] Subtract 144 on both sides: x² = 25
- [Equality Property] Square root both sides: x = 5
Answer: page 1 answers: A) the triangles are similar because two of their angles are the congruent (the 90 degree one and the one that is touching the dot)
B) 0.6 mi
please include a clearer image of page 2s diagram ty!
Step-by-step explanation:
Since I explained the answer of A) for page 1 in the answer section I will explain how I got 0.6mi.
Firstly find the scale factor between the 2 triangles. In other words, what do you need to multiply each side of the smaller triangle to get the same lengths of the bigger triangle. Since we know one side of both triangles where the side we do know measures 0.1mi and the same side but on the bigger triangle measures 0.3mi that means 0.1 times something makes 0.3.
That means the scale factor is 3 because 3 * 0.1 = 0.3. Now to get the base which is the line from D to E multiply 0.2 * 3 (0.2mi is the base of the smaller triangle and 3 is the scale factor) which is 0.6mi
Therefore the distance between D and E is 0.6mi.
Pretty sure it’s D but I could be incorrect