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ki77a [65]
2 years ago
7

Parallel lines s and t are cut by a transversal r. Parallel lines s and t are cut by transversal r. Clockwise from top left, the

angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8. Which angles are corresponding angles?

Mathematics
2 answers:
sveticcg [70]2 years ago
7 0

Answer:

3 and 7

took it on edge 2020

bearhunter [10]2 years ago
4 0

Answer:

The corresponding angles are:

∠ 1 and ∠ 5

∠ 2 and ∠ 6

∠ 3 and ∠ 7

∠ 4 and ∠ 8

Step-by-step explanation:

When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures

∵ Lines s and t are parallel

∴ s // t

∵ Line r intersects lines s and t

∴ Line r is the transversal

∵ Corresponding angles are formed

- Look to the attached figure

∴ ∠ 1 ≅ ∠ 5 ⇒ corresponding angles

∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles

∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles

∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles

The corresponding angles are:

∠ 1 and ∠ 5

∠ 2 and ∠ 6

∠ 3 and ∠ 7

∠ 4 and ∠ 8

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Operations: Housekeeping Math Quiz
masha68 [24]

Answer:

Total time = 63 hours

Step-by-step explanation:

First, let us write out the information in the question:

rate at which rooms are cleaned = 20 mins/room

number of rooms = 175

one-fifth of the rooms take 40% longer to clean

Next, let us convert the extra time taken to clean the rooms from percentage to time.

40% of normal cleaning time = 40% of 20

= 40/100 × 20 = 0.4 × 20 = 8 minutes

∴ onw-fifth of the rooms take an extra 8 minutes = 28 minutes in total

Next, let us calculate how many of those rooms in the total 175 takes the extra cleaning time:

one-fifth of the rooms takes 28 minutes to clean means that:

1 in every 5 rooms out of the 175 rooms take 28 minutes to clean

∴ Number of rooms with extra cleaning time = 1/5 of 175

= 1/5 × 175 = 0.2 × 175 = 35

∴ 35 rooms take 28 minutes each to be cleaned.

Now let us calculate the total cleaning time:

if 35 rooms take the extra cleaning time, then the number of rooms that have the normal cleaning time is as follows:

175 - 35 = 140

Total time:

140 rooms taking 20 minutes per room = 140 × 20 = 2,800 munites

35 rooms taking 28 minutes per room = 35 × 28 = 980 minutes

Total cleaning time = 2800 + 980 = 3780 minutes

converting to hours (1 hour = 60 minutes)

∴ 3780 minutes = 3780 ÷ 60 = 63 hours (2 days and 15 hours)

8 0
2 years ago
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain
Paul [167]
<span>Graphing calculators are more accurate and are faster when finding the solution(s). <span>When solving a system of equations with a graphing calculator, you can have the calculator graph equations of any degree and shape. The graphing calculator also has functions to find where the graphs intersect between two points and are accurate sometimes to ten decimal places. When compared to graphing by hand you can get inaccurate results and results that are not as precise.</span></span>
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A forest ranger wants to install a 1,500 CFM (cubic feet per minute) fan. A ranger station consists of a rectangular prism and a
levacccp [35]
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6 0
2 years ago
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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.
satela [25.4K]

Answer:

t=2.47\ s  

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

h(t) = h_0 + s_0t -16t ^ 2

Where h_0 is the initial height, s_0 is the initial velocity and t is the time in seconds.

We know that the initial height is:

h_0 = 4.5\ ft

The initial speed is:

s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s

So the equation is:

h (t) = 4.5 + 37.62t -16t ^ 2

The ball hits the ground when when h(t) = 0

So

4.5 + 37.62t -16t ^ 2 = 0

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

at^2 +bt + c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a= -16\\\\b=37.62\\\\c=4.5

Therefore

t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}

t_1=-0.114\ s\\\\t_2=2.47\ s  

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

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goblinko [34]

Answer:

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angles 2 and 4 are 151 degrees

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