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2 years ago

Line CT and line SM intersect at point A. What is the relationship between angle TAM and angle CAS?

Mathematics

1 answer:

Andru [333]2 years ago

7 0

he relationship between angle TAM and angle CAS is: vertical angles pair, and they are congruent to each other.

<h3>What are Vertical Angles Pair?</h3>

When two straight lines intersect each other at a point, they form four angles. The pair of angles that are directly opposite each other are referred to as vertical angles pair. These angles are congruent to each other. That is, they have the same angle measures.

The image attached below shows the intersection of two lines, line CT and line SM. They intersect at A to form four angles.

Two pairs of vertically opposite angles were formed. angle TAM and angle CAS is one of the vertical angles pair that was formed.

Therefore, the relationship between angle TAM and angle CAS is: vertical angles pair, and they are congruent to each other.

Learn more about the vertical angles pairs on:

brainly.com/question/1673457

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3 years ago

Neeta is a fourth grader. She is 4 feet 7 inches tall. When she was bom she was 17 inches long. How much has Neeta grown since s

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Step-by-step explanation:

First, find Neeta's total height in inches:

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3 years ago

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3 years ago

Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know

tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

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3 years ago