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maxonik [38]
3 years ago
12

In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of th

e angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Denote

a_6 - 6th Avenue,

a_7 - 7th Avenue,

P - The Pizza Palace and S - The Shake Hut.

Therefore, you have two parallel lines a_6, a_7 and transversal PS. Given m∠P=54°, you have to find m∠S. Angles are consecutive interior angles with property

m∠P+m∠S=180°.

Then m∠S=180°-54°=126°.

Answer: 126°

tatuchka [14]3 years ago
3 0
<span> In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
126°</span><span>
</span>
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P/5 = 10 what is p
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Answer:

50

Step-by-step explanation:

p/5=10

Your main goal is to isolate p

p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.

(5)p/5 = 10(5)

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What is the definition of csc θ ?
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Csc is the inverse of sin. This means the formula in regards to a triangle for csc is h/o, unlike o/h for sin. csc can also be knows as 1/sin. 
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3 years ago
The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?
Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

A(-6, 2)) = (x_1, y_1)

B(2, 6) = (x_2, y_2)

AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}

AB = \sqrt{(8)^2 + (4)^2}

AB = \sqrt{64 + 16} = \sqrt{80}

AB = 8.9 (nearest tenth)

Distance between B(2, 6) and C(7, 1):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

B(2, 6) = (x_1, y_1)

C(7, 1) = (x_2, y_2)

BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}

BC = \sqrt{(5)^2 + (-5)^2}

BC = \sqrt{25 + 25} = \sqrt{50}

BC = 7.1 (nearest tenth)

Distance between C(7, 1) and D(3, -5):

CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

C(7, 1) = (x_1, y_1)

D(3, -5) = (x_2, y_2)

CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}

CD = \sqrt{(-4)^2 + (-6)^2}

CD = \sqrt{16 + 36} = \sqrt{52}

CD = 7.2 (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

DA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

D(3, -5) = (x_1, y_1)

A(-6, 2) = (x_2, y_2)

DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}

DA = \sqrt{(-9)^2 + (7)^2}

DA = \sqrt{81 + 49} = \sqrt{130}

DA = 11.4 (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0
3 years ago
Which of the following most commonly influences weather?
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The answer should be jet streams. :)
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3 years ago
1 Which type of data is best represented using a line plot?
irakobra [83]

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data.  It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday.  This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11.  The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11.  These are the same.

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3 years ago
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