The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
<em>Sum of the all the angles of a triangle = 180°</em>
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
Answer:
x < -7 or x > 13
Step-by-step explanation:
3 - x < -10 or 3 - x > 10
-x < -13 or -x > 7
x > 13 or x < -7
Answer: x < -7 or x > 13
This is a 2 part question, so we will go step by step
Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.
First, let's make the equation, and we should multiply. Why?
Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.
Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)
and 13.50 is the number getting multiplied
Now we insert numbers into typical multiplication format
13.50 x 40 = ?
Now we solve
13.50 x 40 = 540
So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.
With a little help from Google, we can learn that there are in 52.1 weeks<span> in a common year.
Now we do the same thing we did the last time and insert our numbers into the equation.
(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)
540 x 52.1 = ?
Solve
</span>540 x 52.1 = 28,134
She makes <span>28,134 in a year
</span>
Hope this helped!
Answer:
You are currently 40 years old
Step-by-step explanation:
Let's say the current age is represented by the variable x.
x = current age
The question says that "if you take half my age and add 7, you get my age 13 years ago"
This can be represented like this:
1/2(x) + 7 = x - 13
Now we solve for x using basic algebra:
1/2(x) = x - 20
-1/2(x) = -20
x = 40
To check if this is correct, plug it back into the equation and see if both sides equal each other:
1/2(40) + 7 = (40) - 13
20 + 7 = 27
27 = 27
Hope this helps (●'◡'●)
first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.
![\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%208%2B7%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B15%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Cdiv%20%5Ccfrac%7B1%7D%7B2%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Ccdot%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B4%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-3%2B15%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B4%7D%5Cimplies%203)
