Answer:
Add the two angles: 43° + 47° = 90°.
Step-by-step explanation:
A right triangle has an angle that equals 90°. Complementary angles equal 90°. Therefore, if you add these two angles, you will know whether or not △ABC is a right triangle. Triangle △ABC is broken up into two angles, m∠ABD and m∠DBC. When the measures m∠ABD and m∠DBC are added together, they equal 90°, and thus, form a complementary angle.
Hope this helps,
♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥
Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<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>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
Let us say the original price of taco before tip was x dollars.
Percentage of tip given =25 %
Amount of tip given = $2
Now we can say that 25 % of total amount = 2 dollars.
Making an equation,
Now we have to solve for x, so dividing both sides by 0.25,
x= 8
Answer : The original price of tacos before tip was $8.
Answer:
<h2>32/1125</h2>
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome.
If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.
If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;
Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).
Probability of selecting 1 action movie = 6/15 = 2/5
<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>
<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>
