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Sholpan [36]
2 years ago
14

The sum of two consecutive even integers is 42. What is the product of the two consecutive even integers?

Mathematics
1 answer:
Bogdan [553]2 years ago
7 0

Answer:

  440

Step-by-step explanation:

The average of the integers is the odd integer between them. That is found by dividing their sum by 2:

  42/2 = 21

The even integers are 20 and 22. Their product is 20∙22 = 440.

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A rectangular plot of ground is to be enclosed by a fence and then divided down the middle by another fence. If the fence down t
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3 years ago
"A student made the following chart to prove that AB2 + BC2 = AC2.
katovenus [111]

Step 3 has an error.

Step-by-step explanation:

Similarity-criteria of triangles:

1. All the corresponding angles of two triangles should be equal.

2. The ratio between the corresponding sides of two triangles should be equal.

In \triangle ABC and \triangle BDC  

\angle BAC = \angle DBC \\\angle ACB = \angle BCD

All the angles of triangle are equal.

∴\triangle ABC \sim \triangle BDC

Since, \triangle ABC \sim \triangle BDC

\frac{AC}{BC}=\frac{AC}{DC}

BC^{2}=AC \times DC

In \triangle ABC and \triangle BDA,

\fbox{\begin\\ \angle ABC= \angle BDA = 90^{\circ}\end{minispace}}

\fbox{\begin \\\angle BAC = \angle BAD\\\end{minispace}}

\angle ACB = \angle ABD

All the angles of triangle are equal.

∴\fbox{\begin\triangle ABC \sim \triangle BDA \end{minispace}}

∵\triangle ABC \sim \triangle BDA  

\frac{AC}{AB}=\frac{AB}{AD}

AB^{2}=AC \times AD

Now, AB^{2}+BC^{2} can be simplified as,

AB^{2}+BC^{2}=AC \times AD+AC \times DC\\AB^{2}+BC^{2}=AC(AD+DC)\\AB^{2}+BC^{2}=AC(AC)\\AB^{2}+BC^{2}=AC^{2}

Learn more:

1. Find the height of the triangle?

brainly.com/question/12989306

2. Which undefined term is needed to define an angle? brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? brainly.com/question/9880052

Answer Details

Grade: Junior High School

Subject: Mathematics

Chapter: Triangle

Keywords: triangle, similar, similarity, ratio of sides, right triangle, similar triangle, ratio of sides, equal angles, square of hypotenuse, sum, square of legs, sum of square of legs

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3 years ago
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Answer:

$54

Step-by-step explanation:

$44.97 round to $45

20% of $45 is $9

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how do i write and expression for the calculation triple 4 and then add seven times seven Please Somebody Help Me
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I’m assuming “triple 4” is just 3 times 4.
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