Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
The solution of the inequality is t<-3. Because -15 divided by 5t is equal to -3
Answer:
Total fringe needed = 132 inches
Step-by-step explanation:
P.S - The exact question is -
Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.
To find - How much fringe does Alejandra need?
Proof -
Total fringe needed = Perimeter of the rectangle.
Now,
We know that,
Perimeter of the Rectangle = 2(Length + Width)
Now,
Given that,
Length = 44 inches
Width = one half the length
= 
× 44 = 22 inches
⇒Width = 22 inches
∴ we get
Perimeter of the Rectangle = 2(44 + 22)
= 2(66) = 132 inches
⇒Perimeter of Rectangle = 132 inches
∴ we get
Total fringe needed = Perimeter of the rectangle = 132 inches
⇒Total fringe needed = 132 inches
Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
To get the answer you got to get the distance
I is -19
J is -11.1
K is 7.5
to get IJ you must subtract; 19-11.1
to get JK you must add 7.5 and 11.1
IJ= 7.9
JK= 18.6
