For the first one, you're answer would be AC. since C is also a right angle, and angle A is hypnotenuse to C
Answer:
B
Step-by-step explanation:
soln
=108 ÷36×1/4+2/5×13/4
=108÷9+2/5×13/4
=12+2/5×13/4
=12+13/10
=133/10✅
Answer:
Andrew has 9 cars
Step-by-step explanation:
Let's start by defining what our unknowns are and how to name them:
For the number of cars Andrew has: let's use the letter A
For the number of cars Luke has: let's use the letter L
Not write the first sentence in mathematical terms:
"Luke has 4 more than triples the number of cars that Andrew has."
L = 3 * A + 4
The second phrase results on a very simple equation since it just states the number of cars that Luke has:
L = 31
Now we can combine these two equations by replacing the variable "L" in the first equation with the second equation and then solve for A:
L = 3 * A + 4
31 = 3 * A +4
31 - 4 = 3 * A
27 = 3 * A
A = 27/3
A = 9
Therefore, Andrew has 9 cars.
Perimeter = 2( Length + Width)
<em>Given that Perimeter = 3 1/12 feet and Width = 2/3 foot, plug the values into the formula to find the length:</em>
3 1/12 = 2( Length + 2/3)
3 1/12 = 2Length + 4/3
2 Length = 3 1/12 - 4/3
2 Length = 7/4
Length = 7/4 ÷ 2
Length = 7/4 x 1/2
Length = 7/8
<em>Now that we know the length is 7/8 and the width is 2/3, find the area:</em>
Area = Length x Width
Area = (7/8)(2/3) = 7/12
Answer: Area = 7/12 ft²
Answer:
D. y = 5/4x + 2 1/4
Step-by-step explanation:
The equation of the line is
y = mx + c
Step 1: find the slope
( 3 , 6) ( -1 , 1)
m = y2 - y1 / x2 - x1
m - is the slope of the line
( y1 , y2) - are point on the line
( x1, x2) - are point on the line
x1 = 3
y1 = 6
x2 = -1
y2 = 1
Inserting into the formula
m = y2 - y1 / x2 - x1
m = 1 - 6 / -1 - 3
m = -5/-4
Minus cancels minus
= 5/4
Step 2: substitute m into the equation of the line
y = mx + c
y = 5/4x + c
Step 3: sub any of the two points given into the equation
Let's pick ( 3 , 6)
x - 3
y - 6
y = 5/4x + c.
6 = 5/4(3) + c
6 = 5 * 3 / 4 + c
6 = 15/4 + c
c = 6 - 15/4
LCM = 4
c = 24 - 16 / 4
c = 9/4
c = 2 1/4
Step 4: sub c into the equation
y = 5/4x + c
y = 5/4x + 2 1/4
The equation of the line is
y = 5/4x + 2 1/4