<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;
Substituting the measures of ∠1 and ∠2, we get;
Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;
Thus, the measure of ∠1 is 55°
Answer: 267.
Step-by-step explanation:
When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :
, where z* = Critical z-value and E + amrgin of error.
Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.
Since , we have no prior information about p. so we use above formula
with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get
Hence, the required sample size is 267.
Answer: The total cost of the fences=$165.6
Step-by-step explanation:
Let a = the length of the side if the square.
The perimeter of the square is 60 ft
4a = 60ft
divide both sides by
4a = 60/4
a = 15 ft
The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside
Expand to get:
4*a + 4(a + 2*3)
Replace a with 15 to get:
= 4*15 + 4(15 + 6) 60 + 4(21) 60+84
= 144ft
The cost of the fence is $1.15 per foot
The cost of 144 ft fence will be:
= 144*1.15
= $165.6
Learn more about event correlation here: brainly.com/question/1333555
#21165
Answer:
32
Step-by-step explanation:
lets substitute the appropriate values in the equation:
5h+3 - j h= 6 j=1 , so we have:
5*6 +3 -1
30 +3 -1
32
Answer:
No
Step-by-step explanation:
20x2.5=50
51.79-50=1.79
therefore there isn't enough buckets for all the dirt.
