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dezoksy [38]
2 years ago
14

If m∠1 = 50, then m∠5 =

Mathematics
1 answer:
yawa3891 [41]2 years ago
8 0
1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]

The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
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Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not kn
SSSSS [86.1K]
The unknown side is 9. Because 9 x 5= 45, 45 being the perimeter, that is 5 times the unknown side. And 45 is the sum of 9, 16, and 20.
5 0
2 years ago
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e
Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

6 0
2 years ago
A central purple circle labeled O has 2 concentric rings around it. The inner ring has 2 small green spheres. The outer ring has
natulia [17]

Answer:

Its C

Step-by-step explanation:

It is 6 because there are 6 dots on the outer circle and those are the valence electrons. Also I just did it on Edge. Hope this helps.

8 0
1 year ago
Read 2 more answers
The product of sin 30 degrees and sin 60 degrees is the same as the product of
zysi [14]

Answer:

sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

Step-by-step explanation:

we know that

sin(\alpha)=cos(\beta)

when

\alpha+\beta=90\° -------> complementary angles

so

sin(30\°)=cos(60\°)

sin(60\°)=cos(30\°)

Because

30\°+60\°=90\° -------> complementary angles

In this problem the product of

sin(30\°)*sin(60\°)

is equal to

cos(60\°)*cos(30\°)

therefore

sin(30\°)*sin(60\°)=cos(60\°)*cos(30\°)

3 0
2 years ago
Read 2 more answers
Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and
gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442     s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181      3t=181-130   t= 51/3 = 17 truck has an average of 17 miles/gallon

5 0
2 years ago
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