Answer:
x =68
Step-by-step explanation:
We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.
x+22 =90
Subtract 22 from each side
x+22-22 = 90-22
x =68
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Step-by-step explanation:
the average change rate is simply the change of the functional values in a given interval relative to the change of the input values.
in short
(f ( interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
and you know that f (x) is usually also called y (the functional result variable).
so, the upper limit is 0, the lower limit is -2.
y (or f (x)) is 6 and 10 at these points.
and we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
Answer:
74 Cars
Step-by-step explanation:
If each motorbike has 2 wheels then we need to find how many wheels the motorbikes already take up.
We do this by doing 14*2 and we get 28 wheels.
Afterwards, we subtract this from the total of 324 to see how many wheels are left over. 324-28=296
Now we know the remaining amount of wheels and with this we can get our final answer!
Since there are 296 remaining wheels and each car takes up 4 we can divide 296 by 4 to see how many cars would be able to get their full set of tires.
296/4 = 74 and that;s how you get 74 cars!
*I think LOL*
Answer:
89.04% of the data points will fall in the given range of z = − 1.6 and z = 1.6
Step-by-step explanation:
We are given a normally distributed data.
We have to find the percentage of data that lies within the range z = − 1.6 and z= 1.6
Formula:
89.04% of the data points will fall in the given range of z = − 1.6 and z= 1.6
