Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer: 9
Step-by-step explanation:
An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:
We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.
5/8 of y = 15
5/8 × y = 15
0.625 × y = 15
0.625y = 15
Divide both side by 0.625
0.625y/0.625 = 15/0.625
y = 24
The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9
We can divide 18 pounds by 2/3 pounds to find how many servings of meals the dogs will have.
We will use the keep change flip rule to solve this.
18 / 2/3 is then the same as 18 x 3/2
We then multiply across to get
54/2
This would be 27 meals that the food will last
I think that's the side angle side similarity theorem