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Sladkaya [172]
3 years ago
12

10. The legs of an isosceles triangle are (3x2 + 4x + 2) inches and the base is

Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

  6x^2 +12x -1

Step-by-step explanation:

The perimeter is the sum of the two leg lengths and the base length:

  P = 2(3x^2 +4x +2) +(4x -5)

  = 6x^2 +8x +4 +4x -5

  P = 6x^2 +12x -1

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graphing with inequality

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3 years ago
Identify the correct corresponding parts
andrey2020 [161]

Answer:

The correct corresponding part is;

\overline {CB} ≅ \overline {CD}

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment \overline {CA} is congruent to \overline {CE} ( \overline {CA} ≅ \overline {CE})

Segment \overline {CB} is congruent to \overline {CD} ( \overline {CB} ≅ \overline {CD})

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment \overline {AB} is congruent to \overline {DE} (\overline {AB} ≅ \overline {DE}) by CPCTC

Segment \overline {AE} bisects \overline {BD}

Segment \overline {BD} bisects \overline {AE}

Therefore, the correct option is \overline {CB} ≅ \overline {CD}

3 0
3 years ago
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

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Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

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5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
the diagram shows a door that has a window in it the front faces the door and window are similar rectangles that have the dimens
Vaselesa [24]

Answer:

<u>The correct answer is B. 150 cm.</u>

Correct statement, question and diagram:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

60/84 = h/210

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<u>The correct answer is B. 150 cm.</u>

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