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stepladder [879]
2 years ago
11

The two figures are congruent. Find the values of the unknown variables.

Mathematics
1 answer:
kupik [55]2 years ago
7 0

Answer:

y = 71

z = 18

x = 14

Step-by-step explanation:

Figure on the right is simply figure on the left but flipped on its side. we know this because the question tells us the shapes are congruent (which means equal, the same)

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Simplify 3a + 4b + 5c + (-2a) + b
ad-work [718]

Answer:

<em> </em><em>a </em><em>+</em><em> </em><em>5</em><em>b</em><em> </em><em>+</em><em> </em><em>5</em><em>c</em>

Step-by-step explanation:

here's your solution

=> 3a + 4b + 5c +(-2a) + b

=> solve for like term

=> 3a - 2a + 4b + b + 5c

=> a + 5b + 5c

hope it helps

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3 years ago
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Express in a simplified exponential notation 18a^3b^2/2ab
Sauron [17]

Hey there,

The answer is: 18a^3b2/2ab=9a^2*b

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What set of reflections would carry trapezoid ABCD onto itself? (1 point) Trapezoid ABCD is shown. A is at negative 5, 1. B is a
amid [387]

Answer:

y=x, x axis,  y=x, y axis

Step-by-step explanation:

If a point A(x, y) is reflected along the y = x line, the new coordinates would be A'(y, x)

If a point A(x, y) is reflected across the x axis, the new coordinates would be A'(x, -y)

If a point A(x, y) is reflected along the y axis, the new coordinates would be A'(-x, y)

Firstly reflect Trapezoid ABCD along the y = x line to give:

A (-5, 1) ⇒ A'(1, -5). B (-4, 3) ⇒ B'(3, -4). C (-2, 3) ⇒C'(3, -2). D (-1, 1) ⇒ D'(1, -1)

Secondly reflect along the x axis to give:

A'(1, -5)⇒ A"(1,5). B'(3, -4)⇒ B"(3,4), C'(3, -2)⇒C"(3, 2), D'(1, -1) ⇒ D"(1, 1)

Thirdly reflect along the y = x line to give:

A"(1,5) ⇒ A"'(5, 1). B"(3,4) ⇒ B"'(4, 3). C"(3, 2) ⇒ C"'(2, 3). D"(1, 1) ⇒ D"'(1, 1)

Lastly reflect along the y axis to give:

A"'(5, 1) ⇒ A""(-5, 1), B"'(4, 3) ⇒ B""(-4, 3), C"'(2, 3) ⇒ C""(-2, 3), D"'(1, 1) ⇒ D""(-1.1)

6 0
3 years ago
Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
kozerog [31]

Answer:

4

Step-by-step explanation:

ARC = \frac{g(b) -g(a)}{b-a}, b = 7, a = 1

24/6 = 4

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Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions
Natali [406]
I hope this helps you

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