Answer:
angle 1 = 123°
Step-by-step explanation:
Here, angle 2 = 123° {being veritical opoosite angle}
so, angle 1 = angle 2 {being alternate angle}
so, angle 1 = 123°
Answer: 135 pounds
Step-by-step explanation:
600-60=540
540/4=135
Answer:
1/8
Step-by-step explanation:
To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.
There are three -pound bags.
There are six -pound bags.
There are four -pound bags.
Multiply the weight and number of each bag to find the total weight of each different weight bag.
Now, add the three totals.
Finally, subtract the total weight from four pounds in order to find which weight Carla needs.
So, Carla should pick one -pound bag of candy to total four pounds.
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Answer: She can buy up to 2 bags of nuts
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).
5.70n +4.25 ≤18
Solving for x:
5.70n ≤18 -4.25
5.70n ≤13.75
n ≤13.75/5.70
n ≤2.41
n ≤2 (rounded)
She can buy up to 2 bags of nuts
