So first you write out the problem -6x-5=37 then add 5 to both sides then you'll get 42 so now your problem will be -6x=42 once you have that divide -6 on both sides and you will get x= -7
hope that helps!
When there is one soda, there is 25 cents, and when there are 3 sodas, there are 75 cents included in the total. So, it's safe to assume that the soda has a minimum of 25 cents each.Then, there are the same amount of donuts in both parts. So, the donuts will take up the same amount of money in both. If you can find how much those donuts are worth, you can find how much the sodas are worth, plus the 25 cents, for each.
If the donuts are worth $1 each, then take away $2 from each total.
You'll get 6.75 for the first, and 2.25 for the second.
From reasoning, you can get that each soda is equal to $2.25 and each donut is equal to $1.
There are different ways to do this, but the way I did it is simply the way my brain works.
If she wants an average of 73 for 3 tests,
she needs a total of 73 x 3 = 219
Total of the first 2 tests = 77 + 75 = 152
Scores needed for her 3rd test = 219 - 152 = 67.
Answer: She needs a score of 67 marks.
The simpliest way is to use the AAS Postulate.
AAS Postulate: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
From the diagram you have:
1. one pair of angles with measure 40°;
2. one pair of angles with measure 60°;
3. the non-included side of one triangle is congruent to the non-included side of another triangle (their lengths are 10).
Answer: correct choice is D (AAS)
You can use the measure of 112 on the similar shape to find b, as they are same side exterior angles. From there, you can find both a and c, because a/b and b/c are supplementary angles.
a = 68 degrees
c = 68 degrees
