Answer:
The number lines are shown below.
Step-by-step explanation:
In the given problem the sign of inequality is missing.
We know, that there are 4 signs of inequality ">", "<", "≥" and "≤".
The possible inequalityes are
In , all points on the right side of 23 are included in the solution set.
In , all points on the left side of 23 are included in the solution set.
In , 23 and all points on the right side of 23 are included in the solution set.
In , 23 all points on the left side of 23 are included in the solution set.
Answer:
Q1. x= 18, y=59
Q2. m∠J= 56°
Step-by-step explanation:
Q1. (3x +5)°= y° (base ∠s of isos. △)
y= 3x +5 -----(1)
(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)
3x +5 +y +4x -10= 180
7x +y -5= 180
7x +y= 180 +5
7x +y= 185 -----(2)
Substitute (1) into (2):
7x +3x +5= 185
10x= 185 -5
10x= 180
x= 180 ÷10
x= 18
Substitute x= 18 into (1):
y= 3(18) +5
y= 59
Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)
5x -13= 3x +17
5x -3x= 17 +13
2x= 30
x= 30 ÷2
x= 15
∠LKJ
= 3(15) +17
= 62°
∠KLJ= 62° (base ∠s of isos. △)
m∠J
= 180° -62° -62° (∠ sum of △JKL)
= 56°
Answer:
Y=-2x
When x= -6 then y =12
Step-by-step explanation:
If y and x in direct variation then y=c*x for some constant c.
We are told
-4=c2
——> c= -2
So y= -2x
When x= -6 this becomes
Y= (-2) * (-6)
——> y = 12
Answer:
Step-by-step explanation:
(12 - 2)/(2 - 7) = 10/-5 = -2
y - 12 = -2(x - 2)
y - 12 = -2x + 2
y = -2x + 14
Answer: The piano has 222 strings, because 37×6=222.
Step-by-step explanation:
Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.
This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:
= 6 × 37
= 222 strings.
Leslie tuned 222 strings.
Therefore, the piano has 222 strings, because 37×6=222.
