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frutty [35]
3 years ago
5

Kainoa collects trading cards. He has 1,032 baseball cards, 709 basketball cards, and 833 football cards. He wants to put all of

them in albums. Each page in the albums holds 18 cards. How many pages will he need to hold all of his cards? He will need pages
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

143 pages

Step-by-step explanation:

Kainoa has:

1,032 baseball cards, 709 basketball cards, and 833 football cards.

Totally number of cards =

(1032 + 709 + 833)cards = 2574 cards

We are told that:

Each page in the albums holds 18 cards

The pages he will need to hold all of his cards is calculated as:

2574 cards ÷ 18 cards = 143 pages.

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Nezavi [6.7K]

Using the same-side interior angles theorem, the values of x and y are:

x = 80

y = 130

<h3>What is the Same-side Interior Angles Theorem?</h3>

The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.

(x - 30) and (x + 50) are same-side interior angles, therefore:

(x - 30) + (x + 50) = 180

Solve for x

x - 30 + x + 50 = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

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Plug in the value of x

(80 - 30) + y = 180

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y = 130

Learn more about the same-side interior angles theorem on:

brainly.com/question/13867198

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2 years ago
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Charra [1.4K]

Answer:

AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle

Step-by-step explanation:

The distance between two points (x_1,y_1),\ (x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Here A(1,5),\ B(3,-2),\ C(-3,0) are the vertices of a triangle.

AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit

Longest side=AB

AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2

Hence this is an acute triangle.

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Step-by-step explanation:

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