Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2
The all go over 18 so put them all over 18
16/18+12/18+3/18=31/18
31/18 or 1.722222222........
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, 
or,
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in
Answer:
x= 7
Step-by-step explanation:
The equation is 8+4= 2(x-1)
Distribute into the parenthesis.
8+4= 2x-2
Now, add.
12= 2x-2
Add 2 to both sides.
12= 2x-2
+2 +2
Then, divide by 2 to both sides to isolate the variable.
<u>14</u>= <u>2x</u>
2 2
x=7
Answer:
a=40
b=50
c= 115
Step-by-step explanation:
The first angle we will find is angle c
65 and angle c make a straight line so they add to 180
c+65 = 180
Subtract 65 from each side
c+65 -65 =180-65
c = 115
Angle a and 40 are vertical angles
Vertical angles are equal
angle a = 40
The sum of the angles in a triangle are equal to 180
a+b+ right angle = 180
40+ b + 90 = 180
130 +b = 180
Subtract 130 from each side
130-130+b = 180-130
b= 50