Answer:
the first number in this sequence is 6....
Step-by-step explanation:
First number = x
2nd number = x+2
3rd consecutive even number = x+4
4th consecutive even number = x+6
Therefore,
By adding these numbers:
x+x+2+x+4+x+6= 36
Add the like terms:
4x+12=36
Combine the constants:
4x=36-12
4x=24
Divide both the terms by 4
4x/4 = 24/4
x= 6
Thus the first number in this sequence is 6....
Answer:
edit: i was wrong ignore me
You must try to remove one of the unknown variables from the system by multiplying one in a way that when adding (or subtracting) one to another “makes it disappear” and so whatever value you get can be substituted back in to get the other unknown!
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
