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Georgia [21]
3 years ago
7

IMAGE ATTACHED

Mathematics
1 answer:
eimsori [14]3 years ago
7 0
I believe the answer is yes, it is a parallelogram because the slope of segment AB equals to the slope of segment DC, which equals start fraction three over four end fraction comma and AB=CD=5 units.
The slope of AB = (4-1)/(5-1)= 3/4
The slope of DC = (0-3)/(6-10) = 3/4
Thus, the two segments have equal slope,
Both segments are also equal in magnitude 5 units <span />
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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
"Negative three<br> times a number<br> increased by<br> seven is less<br> than -11
cluponka [151]

Answer: Yes

Step-by-step explanation: Calculator

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3 years ago
g If A and B are disjoint events, with P( A) = 0.20 and P( B) = 0.30. Then P( A and B) is: a. .00 b. .10 c. .50 d. 0.06
Lostsunrise [7]

Answer: A) 0

P(A and B) = 0 when events A and B are disjoint, aka mutually exclusive.

We say that two events are mutually exclusive if they cannot happen at the same time. An example would be flipping a coin to have it land on heads and tails at the same time.

8 0
4 years ago
Geometry help please! Which rule explains why these triangles are scalene in both of these problems? A. SSS B. SAS C. AA D. None
yKpoI14uk [10]

Answer:

B. SAS

Step-by-step explanation:

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side-angle-side

SAS

4 0
3 years ago
Explain your answer please.
andriy [413]
Just do length x width x height
7 0
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