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ella [17]
3 years ago
12

How do you solve his

Mathematics
1 answer:
telo118 [61]3 years ago
6 0
Hello!

We know that the angles in a rectangle are 90°

Since they are 90° then the two separate angles add to 90

4x - 12 + x + 2 = 90

Combine like terms

5x - 10 = 90

Add 10 to both sides

5x = 100

Divide both sides by 5

x = 20

Now we put x into the two angles

x + 2 = ?

(20) + 2 = 22

4x - 12 = ?

4(20) - 12 = ?

80 - 12 = 68

The answers are
x = 20
4x - 12 = 68
x + 2 = 22

Hope this helps!
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givi [52]
First you have to figure that it sounds confusing but. What you have to do is that 171 is 189 LESS than from one place to another. So just do : 189-171= 18. And then you know 18.
3 0
3 years ago
Two cars leave the same location traveling in opposite directions. One car leaves at 3:00 p.m. traveling at an average rate of 5
zmey [24]

Since the first car travels 55 miles per hour and starts an hour early, by 4:00 it is 55 miles away from the other car. Therefore, the equation is 55+a(some value)+b(another value)=380. If a car travels 55 miles per hour, that means that we add 55 for each hour and 55*x (if x is the number of hours) is the distance traveled. We have accounted for the first hour, so this is similar to saying that they start 55 miles away at 4:00 and go from there. For the other car, since it travels 75 miles per hour, its distance in hours is 75*x (the amount of time spent should be the same if we start at 4:00). Therefore, since they travel away from each other, our total distance is 55+55x+75x=380. Subtracting 55 from both sides (and combining like terms), we get 130x=325. Next, we divide both sides by 130 to get 2.5 hours, or 2 hours and 30 minutes


hope that helps

5 0
4 years ago
Which graph represents the piecewise-defined function?
chubhunter [2.5K]

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

It means if x<0, then

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f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

6 0
4 years ago
Which property would best be used to solve this problem? 21(8 - 3) Select one: a. Distributive Property b. Associative Property
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A. Distributive Property        Itll be the best
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3 years ago
There are 138 people seated at the tables in banquet hall. Each table can seat 12 people. All the tables are full except one. Ho
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If you do 138 divided by 12 you get 11.5, but since you can't have 11.5 full tables you know that there are only 11 full tables .
4 0
4 years ago
Read 2 more answers
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