As for this, we have to take in the given equivalents and work with them to get the commission for selling each suit and each pair of shoes.
Let us put first that each suit is represented with a and for each pair of shoes, we represent them with b.
The given equations would be these:
47 = 3a + b
107 = 7a + 2b
Now we use the first equation to use for substitution purposes. We would first determine b in the process. To find b, we would be utilizing the equation
b = 47 - 3a
We then move to substitution.
107 = 7a + 2b
107 = 7a + 2(47 - 3a)
107 = 7a + 94 - 6a
107 - 94 = 7a -6a
13 = a
now that we have the value for a, we then use it to find b.
b = 47 - 3a
b = 47 - 3(13)
b = 47 - 39
b = 8
So the answer would be 13 for each suit and 8 for a pair of shoes.
I’m not sure if this is correct but
you have used 3/8 of the plants so you will have 5/8 left to use
Complete Question:
Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.
Part A= 12 x ? = ? ft²
Part B= 0.5 x ? x 9 = ?ft²
Part C= 0.5 x 7 x ? = ?ft²
Total Area= ?ft²
Answer:




Step-by-step explanation:
Given
See attachment
From the attachment;
Part A is a rectangle with dimension 9ft by 12ft
So,


Part B is a triangle with dimension: height = 6 and base = 9
The height is calculated as:

And the base is:

So, the area is:


Part C is a triangle with dimension: height = 7 and base = 7
So, the area is:


Total Area is:



Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.