Answer:
The value of x is
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7

On simplification we get:


Hence, the value of x is
.
We have 7 people which result ----> 7 * <u />2 = <u>14 legs</u>
Also, the table has <u>4 legs</u>
The number of the big cats is 7 *7 =49 (big cats)
For every big cat we have ---> 49 * 4= <u>196 legs</u>
For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)
The number of legs for small kittens is 343 * 4 = <u>1372 legs</u>
The number of legs is:
<u />
<u>14+4+196+1372= 1586 legs are in total</u>
Answer:
Yes
Step-by-step explanation:
Given that in the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type.
The difference in mean values test gave a p value of 0.32
Confidence level = 95%
Alpha = 1-0.95 = 0.05
Compare p with alpha, here p >alpha
Hence we accept null hypothesis that there is no difference in the means.
Confidence interval method also will yield the same result. i.e. confidence interval for difference of means would definitely contain 0 at 95% conf level.
So answer is yes
Answer:
2,880
Step-by-step explanation:
P + 60N = x
1500 + 60(23) = x
1500 + 1380 = x
2880 = x
Answer: Choice A) 
This is the same as writing 14^3
===================================================
Explanation:
Since all the sides are 14 feet long, we can basically say length = width = height = 14.
Or put another way:
- length = 14
- width = 14
- height = 14
The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.
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The term 14^3 has a base of 14 and exponent of 3.
The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14
If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.
Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.
Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.