Answer:
The measure of angle T is 135 degrees.
Step-by-step explanation:
Let's just say the measure of angles T and S are variables t and s.
So the equation would be...
t + s = 180
Since they are supplementary angles, they add up to 180.
Also, we know that t is 3 times s.
t = 3s
Now we can solve this system of equations.
Substitute 3s into t of the first equation.
3s + s = 180
4s = 180
s = 45
Then, since we know that the measure of angle t is 3 times the measure of angle s, we can just multiply 45 by 3 and find the measure of angle t.
45 * 3 = 135
t = 135
So the measure of angle t is 135.
*<em>Just copied from my previous answer, don't know why you needed it again but here you go.</em>
Answer:
<em>We </em><em>know </em><em>that </em><em>the </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite</em><em> </em><em>interior </em><em>angle. </em>
Step-by-step explanation:
So
25x + 57 + x = 45x
26x + 57 = 45x
57 = 45x - 26x
19x = 57
Therefore x = 3
Hope it will help you
Each truck weighs five tons.
1st truck: n
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6
n + n + 2 + n + 4 + n + 6 = 32
4n + 12 = 32
- 12 - 12
--------------------
4n = 20
---- ------
4 4
n = 5
The total cost for a 6-month plan for n lines is represented by the equation:
Cost = 660n + 100
This equation is in the slope intercept form. The coefficient of n represents the slope here.
In the given scenario the slope can be interpreted as the total variable cost for one line for a period of 6 months.
The variable costs are associated with a line are:
1) Unlimited data cost ($40 per month). So for 6 months this cost will be $240
2) Unlimited Call cost ($10 per month). So for 6 months this cost will be $60
3) Unlimited Text Message Cost ($10 per month). For 6 months this cost will be $60.
4) Cost of Phone ($300 per line)
Adding these costs up we get: 240 + 60 + 60 + 300 = $660
Thus, 660 represents the total cost per line for unlimited data, calls, text message and one phone for 6 months. Therefore, option A gives the correct answer.
Answer:
3 11/20
Step-by-step explanation:
Total gallons of water=7
Spring water=two and one-fourth gallon=2 1/4
Filtered water=one and one-fifth
=1 1/5
Spring water+filtered water=2 1/4 + 1 1/5
=9/4+6/5
= 45+24/20
=69/20
=3 9/20
How many gallons of water were not spring or filtered
=Total gallons- (spring+ filtered water)
=7-69/20
=140-69/20
=71/20
=3 11/20
