Answer:
Corresponding
Step-by-step explanation:
Matching angles of two congruent figures are called corresponding angles. The angles that are in the same position will have the same measurement.
Answer:
Advance tickets cost $30; same-day tickets cost $35.
Step-by-step explanation:
Let a = the cost of an advance ticket
and s = the cost of a same-day ticket
We have two conditions:
(1) a + s = 65
(2) 15a + 20s = 1150
Subtract a from each side of (1) (3) s = 65 - a
Substitute (3) into (2) 15a + 20(65 - a) = 1150
Distribute the 20 15a + 1300 - 20a = 1150
Combine like terms 1300 - 5a = 1150
Subtract 1300 from each side -5a = -150
Divide each side by -5 (4) a = 30
Substitute (4) into (1) 30 + s = 65
Subtract 30 from each side s = 35
Advance tickets cost $30; same-day tickets cost $35.
Check:
(1) 30 + 35 = 65 (2) 15 × 30 + 20 × 35 = 1150
65 = 65 450 + 700 = 1150
1150 = 1150
He can make 25 scarves from 15 balls of yarn.
Step-by-step explanation:
Given,
Yarn used for one scarf = 
of a ball
Yarn purchased = 15 balls
Let,
x be the number of scarves.
Yarn used for one scarf*number of scarves = Yarn purchased
Multiplying both sides by 
He can make 25 scarves from 15 balls of yarn.
Keywords: fraction, multiplication
Learn more about fractions at:
#LearnwithBrainly
Okay, we know that the expenses for the day is 210.
Knowing this, and the price of the taco, we write the inequality:
3.25t > 210
t = number of tacos
Now divide both sides by 3.25:
t > 64.62 (rounded)
Because a taco stand can't sell a fraction of a taco, we know that the taco stand has to sell more than 65 tacos for a profit.
Answer:
B. 5070π in³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry
</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 13 in
<em>h</em> = 30 in
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)
- Evaluate exponents: V = π(169 in²)(30 in)
- Multiply: V = 5070π in³
