If they are equilateral triangles, then yes; however, if they are not, it is impossible to tell without a diagram.
Answer: I believe his earnings would be 187$ once he teaches 7 classes.
Step-by-step explanation:
$187-$68=$111
17 x ? = 119
(take the 17$ which is the amount of money he'll earn each class and divide by 111. as seen below:
$111/17$=$6.5 (round to $7)
(you then plug in the 17 for 7 x ? = 119)
7x17=119
now you have to add the 68$ that he will get per month.
119+68=187
then you get 187$ which he had spent on the certificate
Answer:
x = -2
Step-by-step explanation:
If you factor out 1/9 you get rid of the fractions and that makes the equation a whole lot easier.
Next, eliminate the brackets:
Combine the terms:
Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
In 3 months the cost will be the same, they will both cost $440, A is expressed as Cost = 305 + 45m (months) while B is expressed as Cost = 350 +30m because their cost will be the same equation A will equal equation B, 305 +45m = 350 +30m, subtract 30m from both sides to get 305+15m = 350, then subtract 305 from both sides to get 15m = 45, divide by 15 to get m to get m=3 which equals to x=3 input x in both equations to get your y, y = 45(3) + 305 and y= 30(3) + 350, they both give you the answer y= 440 so the point they intersect at is (3,440)
