Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
Answer:
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
Step-by-step explanation:
Kiran says, "I bought 2.5 pounds of red and yellow lentils. Both were $1.80 per pound. I spent a total of $4.05
Let
x represent red lentils
y represent yellow lentils.
x + y = 2.5 .... Equation 1
x = 2.5 - y
$1.80 × x + $1.80 × y = $4.05
1.80x + 1.80y = 4.05....Equation 2
The system of equations is given as:
x + y = 2.5 .... Equation 1
1.8x + 1.8y = 4.05....Equation 2
Answer:
2k
Step-by-step explanation:
3k and -k are both like terms, so you can combine them. Adding opposite signs works in the same way as subtraction, so you can rewrite the expression as 3k-k, which is 2k.
