<u>Question</u>:
Carmen is an engineer making plans to run a rail line, represented by the transversal t, through a city.
Examine Carmen’s rail plans to identify the measure of ∠1. The streets represented by lines V and W are parallel.
What is the m∠1?
25°
35°
145°
155°
The image of the plan is attached below.
<u>Given</u>:
The streets represented by lines V and W are parallel.
We need to determine the measure of ∠1.
<u>Measure of ∠1:</u>
When two parallel lines are crossed by the transversal line, the angles in the matching corners is called as corresponding angles. And the measure of the corresponding angles are always equal.
From the figure, the ∠1 and the other angle in the parallel line V with the measure of angle 155° are corresponding angles.
Thus, the measure of ∠1 is 155°
Hence, Option D is the correct answer.
Answer:
(0, -3)
Step-by-step explanation:
Hope this helps, sorry I'm a little late
One is negative and the other is positive and one has a whole number, and the other only has a decimal
2.8y+6+0.2y=5y-14
Combine like terms
3y+6=5y-14
Subtract 6 from both sides
3y=5y-20
Subtract 5y from both sides
-2y=-20
Divide both sides by -2
Y=10
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
