Answer:
- 5
Step-by-step explanation:
"I am a negative integer greater than -6."
This eliminates any number that is less than -6, as well as any positive number.
0 > x > -6
"I am less than -2."
This narrows down the possible numbers to:
-5, -4, -3.
"I am not equal to -2 + (-1)"
-2 + - 1
-2 - 1
- 3
The number is not '-3'.
"I am not equal to 2 - 6."
2 - 6
- 4
The number is not -4.
Your number should be -5.
Hope this helps.
<h2>○=> <u>Correct options</u> :</h2><h2>□

</h2><h2>□

</h2><h3><u>Steps to derive the correct options</u> :</h3>
Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.
Which means :
▪︎Angle S = Angle S
▪︎PS = PS
▪︎QS = RS
Given :
Measure of segment QS = 6n+3
Measure of segment RS = 4n+11
Thus :







Thus, the value of n = 4
Measure of segment QS :




Thus, measure of QS = 27
Measure of RS :




Measure of QR :


Thus :
▪︎QS = 27
▪︎RS = 27
▪︎QR = 54
Therefore, the correct options are :
▪︎(C) SR = 27
▪︎(D) QR = 54
Answer:
9.
8 10
10. 6
9
Step-by-step explanation:
Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

Solve for x. On the right, combine like terms:

Subtract 3x from both sides:

So, the value of x is 10.
To find the value of FG, substitute 10 into its x:

Multiply:

Add:

And we're done!