<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
C
Step-by-step explanation:
The equation of a line is given by 
and
slope (m) is given by:
Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point
<em>Let's take 2 points arbitrarily. (0,0) & (25,20)</em>
<em />
<em>Let's plug it and find the equation:</em>
<em>
</em>
<em>Now</em>
<em>
</em>
<em />
<em>C is the correct answer.</em>
Answer:
First number=22
Second number=28
Step-by-step explanation:
Since you don't know either of the numbers we can call the first number x. The second number is the first number plus 6 or x+6. The sum is 22 more than the larger number so x+6+22 or x+28. Using this we can create the equation x+x+6=x+28. In order to isolate x we would subract x from both sides ending up with x+6=28. Then subract 6 from both sides to get x=22. This means the first number equals 22. Then to solve for the second number you plug 22 in for x to get the equation 22+6= the second number, so the second number is equal to 28. Look below for just the equation.
x+x+6=x+6+22
2x+6=x+28
-x -x
x+6=28
-6. -6
x=22
22+6
=28
22+28= 28+22
50=50
Step-by-step explanation:
12 is rounded to 10
22 is rounded to 20
20×10= 200
