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IrinaK [193]
3 years ago
14

2.

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

11

Step-by-step explanation:

The rectangle has its sides to be

x - 3 and x - 6

The square has its sides to be x - 7

Area of both the square and rectangle is length multiplied by the breadth, so

Area of rectangle is

x - 3 * x - 6 =

x² - 9x + 18

Area of the square is

x - 7 * x - 7

x² - 14x + 49

From the question, we know that

Area of rectangle + 24 = area of square, so then

x² - 9x + 18 = x² - 14x + 49 + 24

Taking like terms, we know that

14x - 9x = 73 - 18

5x = 55

x = 11

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Answer:

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Step-by-step explanation:

l^2+l^2=h^2

8^2+15^2=h^2

64+225=h^2

289=h^2

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4 years ago
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3 years ago
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Nadya [2.5K]

Answer:

B. r_{x-axis}(x,y) \circ R_0,90\degree)

Step-by-step explanation:

The vertices of triangle ABC have coordinates A(5,2) B(2,4) and C(2,1).

The mapping for reflection in the x-axis is

(x,y)\to (x,-y)

When we reflect triangle ABC in the x-axis, we obtain

A1(5,-2) B1(2,-4) and C1(2,-1).

The mapping for 90 degrees clockwise rotation about the origin is

(x,y)\to (y,-x)

When we rotate the resulting triangle through 90 degrees clockwise above the origin, we obtain;

A2(-2,-5) B2(-4,-2) and C2(-1,-2).

The vertices of triangle A''B''C'' also have coordinates A''(-2,-5) B''(-4,-2) and C''(-1,-2).

Hence the rule that describes the composition of transformation that maps ABC to A''B''C'' is

R_0,90\degree \circ r_{x-axis}(x,y)

The correct choice is B.

7 0
4 years ago
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aleksley [76]

Answer:

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You can rearrange the values in addition due to the communitive property of addition
3 + 8v + 6 can be rearranged to
8v + 3 + 6

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so 8v + 3 + 6 can be rearranged to
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7 0
3 years ago
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