Answer:
Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
C + t = 75......c = 75 - t
6c + 3t = 312
6(75 - t) + 3t = 312
450 - 6t + 3t = 312
-6t + 3t = 312 - 450
-3t = - 138
t = -138/-3
t = 46 <=== 46 cups of tea were sold
c = 75 - t
c = 75 - 46
c = 29 <=== 29 cups of coffee
Answer:
Find the value of x(attachment 11)
6)
7x = 6 + 5x
7x - 5x = 6
2x = 6
x = 6/2 = 3
7)
30 = 4x + 6
4x = 30 - 6 = 24
x = 24/4 = 6
8)
2(x + 4) =16
x + 4 = 16/2 = 8
x = 8 - 4 = 4
9)
7 + 5x = 3x + 13
5x - 3x = 13 - 7
2x = 6
x = 6
<u>Find the area(From attachment 2)</u>
1) Area = 4* 5 = 20
2)Area = 7 * m = 7m
3). Area = 3* a = 3a
4). Area = x*x = x²
5). Area = 4*x + 3* 4 = 4x + 12
6). Area = 7*a + 7*9 = 7a + 63
7). Area = 3x*x + 2*3x = 3x² + 6x
<u>expression of line segment</u>
8) x + 9
9). x + 4
10). a + 2
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
