Answer:
x = 46, y = 67
Step-by-step explanation:
x = ∠ AEC = 46 ( alternate angles )
Since Δ ACE is isosceles then the base angles are congruent, then
y = 
= 
= 67
Answer:
5 x 9 = 45
Step-by-step explanation:
A good way to estimate this would be rounding to the nearest whole number.
First we'll look at 4.73. If we're rounding to the nearest whole number, then that means we'll look at the digit one place to the right of 4. The digit to the right of 4 is 7. 7 is greater than 5 so we round up. We get 5. If we do the same for the other number we see that it also gets rounded up to 9. So our new equation is: 5 x 9. That is a simple multiplication equation and when we multiply we get 45.
Hope this helped!
Answer:
No, it's not equivalent
Step-by-step explanation:
Try and solve the one with the bracket first. Expand 8(15-r) : 8x15 and 8x-r = 120 - 8r
Therefore, the equation can now be written as:
6r-r + 120-8r + 23-6
Rearrange the like terms together and solve the equation:
6r-r-8r + 120+23-6 = -3r + 137
Answer:
<u>Usain Bolt's average speed in yards per second was 11.4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
World record of Usain Bolt = 9.589 seconds
Distance of the world record = 100 meters
1 yard = 0.9144 meters ⇒ 100 meters = 109.36 yards
2. What was Usain Bolt's average speed in yards per second?
Let's recall that the formula of speed is:
Speed = Distance/Time
Replacing with the values we know:
Usain Bolt's Speed = 109.36/9.589
<u>Usain Bolt's Speed = 11.4 yards per second (Rounding to one decimal place)</u>
Answer:
0
Step-by-step explanation:
Distribute:
=(6)(3x)+(6)(−5)+(2)(3x)+(2)(−5)+(−8)(3x)+(−8)(−5)
=18x+−30+6x+−10+−24x+40
Combine Like Terms:
=18x+−30+6x+−10+−24x+40
=(18x+6x+−24x)+(−30+−10+40)
=0
