Answer:
Step-by-step explanation:
<u>Statements </u> <u> Reasons</u>
1) QS =42 Given
2) QR + RS = QS Segment Addition Postulate
3) (x + 3) + 2x = 42 Substitution Property
4) 3x + 3 = 42 Simplify
5) 3x = 39 Subtraction Property of Equality
6) x=13 Division Property of Equality
Explanation:
We have given QS=42. We have to prove that x=13
We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.
Then we will substitute the values in the defined postulate.
where QR= x+3
RS=2x
QS=42
QR+RS=QS
(x+3)+2x= 42
Now simplify the expression by opening the brackets.
x+3+2x=42
3x+3=42
Now subtract 3 from both sides.
3x+3-3=42-3
3x=39
divide both sides by 3.
3x/3 =39/3
x=13..
Answer:
26°
Step-by-step explanation:
<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)
You can also write;
<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)
By putting the value of those angles;
5y+3+(2y-5)=180
5y+3+2y-5=180
5y+2y-5+3 =180°
7y-2=180°
7y=180+2
7y=182
y=182/7
y=26°
Hence,
The value of y is 26°
Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
Hello :)
here you need to use the slope intercept formula to find your equation:
y= mx+b
b= the y- intercept
m= the slope
we are already given the slope and the x & y
y=-3x+(-2)
your answer would be a) y = -3x - 2
Answer:
Pythagorean theorem, eh?
Step-by-step explanation:
The way to do this is use the radius-tangent angle theorem thing...
It states that, a radius that intersects a point of tangency(I think that's what it's called) is perpendicular to the tangent. Thus, CW is perpendicular to OW!
Thus, it forms a right triangle, where we can use Pythagorean Theorem!
If you don't know what it is, check the internet! It's pretty simple.
So, there you go! Hope this helps!
NOTE: This answer was recently deleted for violating community guidelines, so I just re-uploaded it!(and edited it) So if you do need more help, do some research!
