Answer:
<h2>x = 6, y = 42</h2>
Step-by-step explanation:
The diagonal divides both opposite angles into two angles. If ABCD is a parallelogram, then opposite sides are parallel, so we have alternate exterior angles.
Alternate exterior angles are congruent.
Therefore we have the equations:
4x = 24 and y - 10 = 32
4x = 24 <em>divide both sides by 4</em>
4x/4 = 24/4
x = 6
y - 10 = 32 <em>add 10 to both sides</em>
y - 10 + 10 = 32 + 10
y = 42
Answer: 151
Step-by-step explanation:
if prior population proportion is unknown , then the formula is used to find the sample size :
, where 
= Two tailed critical value for significance level of 
E = Margin of error.
Given : margin of error = 8%= .08
For 95% confidence level , two tailed critical value = 1.96
Now, the required sample size :
Hence, the size of the sample needed = 151.
Since the golden ratio is approximately 1.618033989 which fits what you provided, then rounded to the nearest thousandth would be 1.618
Step-by-step explanation:
3 lemons = $0.99
=> 8 lemons = $0.99 * (8/3) = $2.64.
8 lemons cost $2.64.
Answer:
56deg
Step-by-step explanation:
A triangle has 180deg.
180 = 68 + 56 + x >> add 68 and 56
180 = 124 + x >> subtract 124 from both sides
56 = x
The missing side is 56deg
