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34kurt
3 years ago
12

Someone help me please

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

18

Step-by-step explanation:

cos 49=x/27

27 cos 49= x

x = 17.7

approximately 18

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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
I need help to answer A and B and C I got kind of confused <br>​
liubo4ka [24]

Answer:

a y=25+89x b 25 c 14

Step-by-step explanation:

89*22=1958

1983-1958=25(service fee)

(1271-25)/89=14

6 0
3 years ago
PLS HELP ASAP!!!!!!!! 2 MORE DAYS OF SCHOOL LEFT ASAP HELP NOW!!!!!!!!!!!!!!!
Illusion [34]
I think maybe either B or C, ope I helped, sorry if I didn't!!
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3 years ago
What is the value of x that makes the given equation true?<br> X-3x=2(4+x)
Ratling [72]

x - 3x = 2(4 + x)

-2x = 8 + 2x

-4x = 8

x = -2

7 0
3 years ago
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What is the integer for -22 + (-16) =
natka813 [3]

Answer:

-38

Step-by-step explanation:

4 0
3 years ago
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