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Xelga [282]
3 years ago
6

1/4 d+ 3/4 (d+16)=−5

Mathematics
2 answers:
iren2701 [21]3 years ago
8 0
1/4 d+ 3/4 (d+16)= -5
1/4 d + 3/4 d + 12= -5
1 d + 12 = -5
1 d = -17
d= -17
Annette [7]3 years ago
7 0
The answer is -17 im pretty sure
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There is a Saturday performance at a local theater. A theater charges $9 for an adult ticket and $4 for a child ticket. All 1020
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Given segments AB and CD intersect at E.
nata0808 [166]

The length of a segment is the distance between its endpoints.

  • \mathbf{AB = 3\sqrt{2}}
  • AB and CD are not congruent
  • AB does not bisect CD
  • CD does not bisect AB

<u>(a) Length of AB</u>

We have:

\mathbf{A = (1,2)}

\mathbf{B = (4,5)}

The length of AB is calculated using the following distance formula

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

So, we have:

\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}

\mathbf{AB = \sqrt{18}}

Simplify

\mathbf{AB = 3\sqrt{2}}

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

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

Where:

\mathbf{C = (2, 4)}

\mathbf{D = (2, 1)}

So, we have:

\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}

\mathbf{CD = \sqrt{9}}

\mathbf{CD = 3}

By comparison

\mathbf{CD \ne AB}

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

\mathbf{AB = \frac 12 \times CD}

The above equation is not true, because:

\mathbf{3\sqrt 2 \ne \frac 12 \times 3}

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

\mathbf{CD = \frac 12 \times AB}

The above equation is not true, because:

\mathbf{3 \ne \frac 12 \times 3\sqrt 2}

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0
3 years ago
Which of these statements are true for joint variations? Check all that apply.
Fudgin [204]

Answer:

B and C

Step-by-step explanation:

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8 0
3 years ago
What is 2 - 3y is less than or equal to 12? That was the question.
Ivenika [448]

Answer:

2-3y\leq 12\\-2+2-3y\leq 12-2\\-3y\leq 10\\\frac{-3}{3}y\leq  \frac{10}{3} \\y\geq \frac{10}{3}

Step-by-step explanation:

8 0
3 years ago
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