Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
A bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.
It is required to find How many feet will it cover in 35 seconds.
<h3>What is conversion?</h3>
conversion is the process of changing the value of one form to another for example inches to millimeters, or liters to gallons. Units are used for measuring length, measuring weight, measuring capacity, measuring temperature, and measuring speed.
Given that:
1 hour = 60min×60sec = 3600 sec
1 miles = 5280 feet
16 miles = 16×5280ft = 84480 ft
3600sec ................. 84480 ft
35sec ................................ x ft
x = 35×84480/3600
=2956800 /3600
= 821.33 feet.
Hence, a bicycle is traveling at 16 miles per hour it covers 821.33 ft in 35 seconds.
Learn more about conversion here:
brainly.com/question/3477680
#SPJ1
Answer:
Im pretty sure the 3rd choice on #2 is an irrational number...
Step-by-step explanation:
5 is your answer
1: 5 = 5: 25
Note that the colon can act like a fraction.
Simplify 5/25.
(5/25)/(5/5) = 1/5 = 1/5
5 is your answer
hope this helps
Problem 1, part (a)
<h3>Answer: False</h3>
For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
====================================================
Problem 1, part (b)
<h3>Answer: true</h3>
This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
====================================================
Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
