<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:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
Answer:
252 children and 395 adults
Step-by-step explanation:
Make a linear system of equations, where x represents the number of children and y represents the number of adults
x+y=648
1.50x+2.25y=1269
solve using substitution, so y=648-x,
then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,
solve for x and you will get x equals the 252
then substitute this into the first equation, so you get 252+y=648
solve and you will get y=395
The height of the object after 5.5 seconds is 394.875feet
<h3>Functions and values</h3>
Given the function that represents the height of the ball as shown:
In order to determine the height of the object after 5.5 seconds, we will substitute t = 5.5s into the formula to have;
Hence the height of the object after 5.5 seconds is 394.875feet
Learn more on functions here: brainly.com/question/10439235
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