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kvasek [131]
3 years ago
10

Which is the greatest value?4qt

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Step-by-step explanation:

19 is the greatest value

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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
What is the equation of the line that passes through the point (6,4) and has a slope of -2/3
Aleksandr [31]

Answer:

using the given points substitute it into the equation y=mx+c

therefore

y=4

m=-2/3

X=6

c=?

so we should c=intercept

Step-by-step explanation:

y=mx+c

4=-2/3(6)+c

4=-4+c

c=4+4=8

therefore equation of the graph is y=-2/3X+8

4 0
3 years ago
Explain why 8.0 is greater then 0.8
SIZIF [17.4K]

Answer:

since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.

Step-by-step explanation:

3 0
3 years ago
My last 2 math questions I need help on.
V125BC [204]
35. To find the solution to this problem, we need to add up all of the juice. 

5 3/4 + 4 1/2 + 2 3/4 = 13

The answer for this question would be C.


36. Since each square tile is 1 cm by 1 cm:

7 * 12 = 84
84/1 = 84

The answer is 84. 

Hope this helps! 
3 0
3 years ago
Which triangle congurence theorem proves that ABD ≈ CBD?<br><br>AAS<br>SAS<br>HL<br>CPCTC​
Liula [17]

Answer:

AAS

Step-by-step explanation:

the ansewer

8 0
2 years ago
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