Remark
All three sides are equal in an equilateral triangle.
y + 5 = x + y - 5 . . . . . . .(1)
y +5 = 2x - 7 . . . . . . . . .(2)
For 1
Subtract y from both sides.
5 = x - 5 . . . . . . . . . . . Add 5 to both sides.
x = 10
x + y - 10 = 2x - 7 . . . .Put x = 10 into this equation
10 + y - 10 = 2*10 - 7
y = 20 - 7
y = 13
In 2x - 7, let x = 10
2(10) - 7 = 20 - 7
Answer:
17
Step-by-step explanation:
Look at any 2 adjacent numbers and find the difference between them.
Starting with numbers 1 and 2, subtract the first from the second:

That's a difference of 8, meaning the second number increased by 8.
Check the next numbers, 2 and 3:

It increased by 8 again. Now that we know for sure that each term in the sequence increases by 8 over the previous one, we can find the number in the green box. Just add 8 to the number before it:

Answer:

Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. We need to calculate the degrees of freedom are given by:

We can find the critical value using the following excel codes:
"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"
And the critical values would be given by:

X2-10x+21
=(x-3)(x-7)
hope this helps!
Answer:
(x-10) (x+1) =0
x=10 x=-1
Step-by-step explanation:
x^2 -9x-10 =0
Factor
What two numbers multiply to -10 and add to -9
-10*1 = -10
-10+1=-9
(x-10) (x+1) =0
Using the zero product property
x-10 = 0 x+1=0
x-10+10=0+10 x+1-1=0-1
x=10 x=-1
These are the x intercepts