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eimsori [14]
3 years ago
8

Can someone help me with this thank you

Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

B

Step-by-step explanation:

This quadratic factors.

x^2 - 15x + 56

= (x - 7)(x - 8)

x - 7 = 0

x = 7

=====

x - 8 = 0

x = 8

====

{7,8}

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Dan started with 69 cards

Step-by-step explanation:

Let x be the initial number of cards

Then

According to "Dan bought 7 new baseball trading cards to add to his collection"

x+7

The next  day his dog ate half of his collection.

\frac{1}{2}(x+7)

There are now only 38 cards left.

\frac{1}{2} (x+7) = 38

Multiplying both sides by 2

x+ 7 = 38*2\\x+7 = 76

Subtracting 7 from both sides

x+7-7 = 76-7\\x = 69

Hence,

Dan started with 69 cards

Keywords: Linear equation, word problems

Learn more about linear equations at:

  • brainly.com/question/7888686
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3 years ago
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What are the postulates for congruent triangles
Delvig [45]

Hi there!

There are 5 ways to find if two triangles are congruent :

SSS, SAS, ASA, AAS & HL

<u>1. SSS (Side, Side, Side)</u>

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<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

Means that we have two triangles where we know 2 angles and the included side are equal.

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<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
A town has a population of 13,000 and grows at 5% every year. What will be the population after 11 years to the nearest whole nu
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Answer:

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Answer:

Step-by-step explanation:

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