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creativ13 [48]
4 years ago
10

How do I solve this?

Mathematics
1 answer:
serg [7]4 years ago
5 0

Answer:

  (x, y) = (18, 5)

Step-by-step explanation:

Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:

  3x +49 = 7x -23

  72 = 4x . . . . . . . . . add 23-3x

  18 = x . . . . . . . . . . . divide by 4

__

Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.

  3x = 11y -1

  3(18) +1 = 11y . . . . add 1, fill in the value of x

  55/11 = y = 5 . . . . divide by 11

The values of x and y are 18 and 5, respectively.

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David needs 36 gallons of punch for a party and has two different coolers to carry it in. the bigger cooler is 5 times as large
serg [7]

The little cooler can contain = 6 gallons.

The large cooler can contain is = 30 gallons.

<h3>What is volume surface area?</h3>

Any particular object's surface area is the space that the object's surface takes up. Volume, however, refers to the quantity of space a thing has. Different shapes and sizes exist in geometry, including spheres, cubes, cuboid shapes, cones, and cylinders, among others. Both the surface area and the volume are unique to each shape.

<h3>According to the given information:</h3>

The number of gallons that a small cooler can hold is: x gallons.

and a larger cooler can hold: 5x the number of gallons.

(Because it was noted:

In comparison to the smaller cooler, the larger cooler is five times bigger.

Additionally, a party requires 36 gallons of punch in total.

The result is:

x+5x=36

i.e. 6x=36

Divide both sides by 6, and the result is:

x=6

In light of this, the little cooler can contain 6 gallons.

and how many gallons the large cooler can contain is: 5 x 6 = 30 gallons.

To know more about volume surface area visit:

brainly.com/question/12446369

#SPJ4

6 0
2 years ago
1. Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 c
prisoha [69]

Answer:

See explanation

Step-by-step explanation:

Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then

P(\text{Window seat})=\dfrac{492}{806}=\dfrac{246}{403}\\ \\P(\text{Middle seat})=\dfrac{8}{806}=\dfrac{4}{403}\\ \\P(\text{Aisle seat})=\dfrac{306}{806}=\dfrac{153}{403}

a) One randomly selected person preferes aisle seat with probability

\dfrac{153}{403}

b) Two randomly selected people both prefer aisle seat (with replacement) is

\dfrac{306}{806}\cdot \dfrac{306}{806}=\dfrac{153}{403}\cdot \dfrac{153}{403}=\dfrac{23,409}{162,409}

c) Two randomly selected people both prefer aisle seat (without replacement) is

\dfrac{306}{806}\cdot \dfrac{305}{805}=\dfrac{153}{403}\cdot \dfrac{61}{161}=\dfrac{9,333}{64,883}

8 0
3 years ago
How can I learn to do standard notation and scientific notation?
jonny [76]
Just watch videos on youtube.
5 0
3 years ago
What is the volume of this cube?
Klio2033 [76]

Answer:

it's 6 cubic feet look you must count all the sides together also I took the test this cube has 6 sides so your answer will be 6 cubic feet ;)

Step-by-step explanation:

6 0
4 years ago
Is the picture clear...i reallly need answers
Aleonysh [2.5K]
I do not see a picture sadly.
6 0
3 years ago
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