Answer:
k = 7
Step-by-step explanation:
Step 1: Write equation
-18 = 5 - (6k - 19)
Step 2: Solve for <em>k</em>
<u>Distribute negative:</u> -18 = 5 - 6k + 19
<u>Combine like terms:</u> -18 = -6k + 24
<u>Subtract 24 on both sides:</u> -42 = -6k
<u>Divide both sides by -6:</u> k = 7
Step 3: Check
<em>Plug in k to verify it's a solution.</em>
-18 = 5 - (6(7) - 19)
-18 = 5 - (42 - 19)
-18 = 5 - 23
-18 = -18
Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
Answer:
see below
Step-by-step explanation:
Since RT bisects QRS
1/2 QRS = TRS
1/2 ( 9x+214) = -9x+53
Multiply each side by 2
9x +214 = -18x+ 106
Add 18x from each side
9x +214+18x = 106
27x +214 = 106
Subtract 214 from each side
27x = 106-214
27x =-108
Divide by 27
27x/27 = -108/27
x = -4
TRS = -9x+53
=-9 *-4 +53
= 36+ 53
=89
In mathematics: Arithmetic progression, sequence of numbers such that the difference of any two successive members of the sequence is a constant. Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant. so i chose b)Sequences
Answer:
21
Step-by-step explanation:
Add all of the numbers together then divide by 5
