Answer:
Yes, they are equivalent
Step-by-step explanation:
Equivalent fractions are equal in value to each other. The only difference is that 9/2 is an improper fraction while 4 1/2 is a mixed number. In decimal, they both equate to 4.5
Answer:
a = 60
b = 60
Step-by-step explanation:
We know that BC is 90°, because of the square thingy.
YB is 30°.
Now we do 180 - 30 - 90 = 60 (180 is the straight angle)
60 = b
Then a is the same.
Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425
Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27
Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73
So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.
Hope this helps!
Answer:
c, 10
Step-by-step explanation:
12 is about 10
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.