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Contact [7]
3 years ago
9

PLSSS I NEED HELP ITS SO LATEE find the measure of the angle indicated in BOLD

Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

9)=95°

10)=120°

Step-by-step explanation:

9) = 10x+5 = -4+11x - vertically opposite

or, 5+4 = 11x-10x

or, x = 9

now

10x+5

= 10*9+5

= 90+5

= 95

9)= 95°

10)= soln

16x-4+31x-4=180-being cointerior

or, 47x-8=180

or, 47x= 188

so, x = 4

now

31x-4

= 31.4-4

=124-4

=120

10)=120°

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Answer:

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Step-by-step explanation:

\left(-3\right)^4

Use exponent rule \left(-a\right)^n=a^n:

=3^4

=81

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Polygon X is similar to polygon Y. Polygon X is three times the size of polygon Y. The perimeter of polygon X is 81. What is the
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Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Polygon X is similar to polygon.

And Polygon X is three times the size of polygon Y.

So, it becomes,

\dfrac{\text{Perimeter of polygon X}}{\text{Perimeter of polygon Y}}=\dfrac{3}{1}\\\\\dfrac{81}{x}=\dfrac{3}{1}\\\\x=\dfrac{81}{3}\\\\x=27

Hence, perimeter of polygon Y is 27.

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2 years ago
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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),
Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(-4-(-4))^2+(-1-7)^2}

AB=\sqrt{(-4+4)^2+(-8)^2}

AB=\sqrt{0+64}

AB=8

Similarly,

BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8

CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8

AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8

All sides of parallelogram are equal.

AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}

BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

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