Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
Answer:
The slope for the line is 2
Answer: Congruent
Step-by-step explanation:
Line BC is reflexive to itself
AB is congruent to CD, and that's given
Line AC is congruent to BC, using these prior proofs
Angle EDC and Angle FAB are congruent, and that's a given.
You can conclude that they are congruent by AAS
Answer:
I think the answer is that Best Market sells strawberries at a higher unit price, and that you would have to pay $5.40 more at that store than the other.
Step-by-step explanation:
If we take a look at the graph, we can see that 1 pound of strawberries is worth 2$. That makes the unit price, or the price of per one unit of the item, 2$ for Fine Foods.
In thd directions, they gave us the equation y = 2.9x for strawberries at Best Market. To find the unit price for Best Market, we would have to substitute x for 1 since x represent pounds, and we're trying to find how much 1 pound costs to find the unit price. It would look like this:
y = 2.9 (1)
y = 2.9
So, the unit price at Best Market would be 2.90$.
Comparing the unit prices, 2.90$ is bigger than &2. So, Best Market sells strawberries at a higher unit price. To find out how much 6 pounds of strawberries at Best Market is, all we have to do is substitute x for 6 in y = 2.9x like so:
y = 2.9 (6)
y = 17.40
So, the price for 6 pounds of strawberries is 17.40$ at Best Market. If we refer to the graph for the cost of 6 pounds at Fine Foods, then we know that 6 pounds of strawberries is 12$. 17.40 - 12 = 5.4. So, you would have to pay $5.40 more for 6 pounds at Best Market than Fine Foods.