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Flauer [41]
3 years ago
12

PLEASE ANSWER THIS ASAP

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

\text{C. }98^{\circ}

Step-by-step explanation:

Opposite angles in any quadrilateral circumscribed by a circle always add up to 180 degrees.

(Opposite angles in a cyclic quadrilateral are always supplementary).

Thus,

82+\angle D=180,\\\angle D=\boxed{\text{C. }98^{\circ}}

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Step by step explanation

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3 years ago
Two burgers and one hotdog cost $4.82. At the same price ,one burger and two hotdogs cost $3.70. How much does a hotdog cost?
STatiana [176]
Hello!

Let's use 'x' to represent the cost of the burger, and 'y' to represent the cost of the hotdog.

2x + y = 482

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y = 86 cents

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A burger costs $1.98 and a hot dog costs $.86

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How do I solve question 6 through 8?<br> Solve for me
rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

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