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galben [10]
2 years ago
15

What are m∠1 and m∠2?

Mathematics
1 answer:
tankabanditka [31]2 years ago
4 0

Answer:

Not enough information

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that  coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

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

DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}

EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}

FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}

DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}

Slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Slope of DE,

m_1=\frac{4-5}{2+2}= \frac{-1}{4}

Slope of EF,

m_2=\frac{0-4}{0-2}= 2

Slope of FG,

m_3=\frac{1-0}{-4-0}= \frac{-1}{4}

Slope of DG,

m_4=\frac{1-5}{-4+2}= 2

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0
3 years ago
Read 2 more answers
Which of he following is proved by utilizing deductive reasoning ?
kow [346]

Your answer would be postulates.

5 0
3 years ago
Slope of 5,2 and 6,2
maria [59]

Answer:

The slope is 0

Step-by-step explanation:

(2-2) divided by (6-5) equals to 0 which is the Slope

\frac{2-2}{6-2} \\\\

7 0
3 years ago
Give an example of an event that is certain and an event that is impossible. What are the probabilities for each event?
OleMash [197]

Answer:

Thank you for posting your question here at brainly. Feel free to ask more questions.  

The best and most correct answer among the choices provided by the question is 0 (zero).          

Hope my answer would be a great help for you.  3 to all sorry i can't help you all i try my best tho my goal is to get to 4 brainlyest may 8 if i'm lucky god bless you all stay safe during these tuff times

3 0
2 years ago
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Given: CB bisects
marin [14]

Answer:

Answer to fourth part is :

Angle ABC= Angle DBC

So for fifth part reason answer is ASA congruency.

Step-by-step explanation:

Here we are given that CB bisects angle ABD and angle ACD.

So we have ,

Angle ABC= Angle DBC

Answer to fourth part is :

Angle ABC= Angle DBC

Now here we have two angles and one side equal in two triangles.

So we can say that ASA congruency fits in the best here.

So for fifth part reason answer is ASA congruency.

4 0
3 years ago
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