Answer:
6
Step-by-step explanation:
The number on the right side of the equal side represents the radius, HOWEVER, it is squared, therefore you must square root it to get 6
she took four tests with one more to take totals 5 tests
88 x 5 = 440
all her tests need to equal at least 440 to get an 88 average
since she has 85 average after 4, 85*4 = 340, so her 4 tests so far have equaled 340
440-340 = 100
she will need to get a 100 on her 5th test to have an 88 average
Step-by-step explanation:
<u>Statement Reason </u>
BA and BC opposite rays Given
AC is a straight line Definition of opposite rays
∠ABD + ∠CBD = ∠ABC Angle addition postulate
∠ABD + ∠CBD = 180° Definition of linear pair
m∠ABD = 5x + 7 Given
m∠CBD = 9x + 19 Given
5x + 7 + 9x + 19 = 180 Substitution property of equality
14x = 180 - 26 Subtraction property of equality
x = 154/14 Division property of equality
x = 11 Proved
Wendy spent four hours on the train.
If the...
Train Speed= 60 mph
Train Time= x
Bus Speed= 40 mph
Bus Time= 5.5-x
Total Time= 5.5 hr
and
Total Distance= 300 miles
Then we can put all of that into the equation...
60x + 40(5.5-x)= 300
Now, following the order of operations we can free the x from the parenthesis by multiplying 40 by 5.5 and (-x) to get...
60x + (-40x) + 220= 300
Next we can simplify by adding the 60x and (-40x) to get...
20x + 220= 300
After that we need to get the x alone on the left side. To do this we must use reverse order; if we subtract 220 from 220 on the left side and then we can subtract 220 from 300 on the left side. Remember the Golden Rule of Algebra! If you add, subtract, multiply, divide, or raise to a power on one side you must do it on the other! This gives us...
20x + 220 - 220= 300 - 220
20x= 80
Now all that is left to get x all alone on the left is to look back at the golden rule of algebra and divide 20 from both 20x and 80. Which gives us...
20x/20 = 80/20
x= 4
And that gives us our answer! 4 hours :D
Hope this helped!
