(1) You can see that the 6 is being added to both sides.
You are trying to make both sides equal by adding 6, so it would be the Addition Property of Equality.
(2) 4 is being divided into both sides.
It would be the Division Property of Inequality. (you are dividing by 4 to make both sides equal)
"B" is the answer.
I hope this helps!
~kaikers
Answer:
Step-by-step explanation:
We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.
The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.
Well, since she bought 3.42 pounds of green apples, then you can subtract 3 lbs off of that, so she bought .42 lbs of green apples, and 2.19 lbs red apples
So now, you just need to add .42 and 2.19
.42 + 2.19 = 2.61, so she has 2.61 lbs of apples left
Hope this helped!
Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Answer:
y - 4 = (2/3)(x - 7)
Step-by-step explanation:
(see attached for reference)
we are given slope, m = 2/3 and point (x₁, y₁) is (7,4)
y - y₁ = m(x - x₁)
substituting the given values into the general equation
y - y₁ = m(x - x₁)
y - 4 = (2/3)(x - 7)