We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5
Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
Answer: 64
Step-by-step explanation:
If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.
EJ = JG
4w + 4 = 2w + 18
Subtract 2w from both sides
2w + 4 = 18
Subtract 4 from both sides
2w = 14
Divide both sides by 2
w = 7
EG = EJ + JG
EG = 4w + 4 + 2w + 18
EG = 6w + 22
Now that we know what 'w' is, we can substitute it for 7
EG = 6 (7) + 22
EG = 42 + 22 = 64
The measure of EG is 64.
Hope that helped!
Answer:
7.5 * 10^-4
Step-by-step explanation:
To express this, we will have to multiply 750 by the conversion unit
we have this as;
750 * 10^-6
750 = 7.5 * 10^2
so we have;
7.5 * 10^2 * 10^-6
= 7.5 * 10^(-6+2)
= 7.5 * 10^-4
Answer:
<em>C.</em> 
Step-by-step explanation:
Given
Required
Determine which binomial expansion it came from
The first step is to add the powers of he expression in brackets;
Each term of a binomial expansion are always of the form:
Where n = the sum above
Compare to the above general form of binomial expansion
Substitute 6 for n
[Next is to solve for a and b]
<em>From the above expression, the power of (5) is 2</em>
<em>Express 2 as 6 - 4</em>
By direct comparison of
and
We have;
Further comparison gives
[Solving for a]
By direct comparison of
[Solving for b]
By direct comparison of
Substitute values for a, b, n and r in
Solve for 
<em>Check the list of options for the expression on the left hand side</em>
<em>The correct answer is </em><em />
Answer:
12.68 de
Step-by-step explanation:
