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8_murik_8 [283]
3 years ago
11

Find the angle measure and round to the nearest Tenth. cos0 = 7/10 x = ? degrees

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0
I believe it is 45.6
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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
What is the position of 7 in the number 876,543
horsena [70]
876,543

7 is <span>tens of thousands.</span>
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3 years ago
Can someone help me with a b and c please
abruzzese [7]

Answer:

c.in this 2014,396.12million pets were owned

3 0
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The temperature in Antarctica during the winter can average -42.3 degrees Celsius. During the summer it can average around 11.52
Sindrei [870]

Answer:

-30.78!

Step-by-step explanation:

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3 years ago
i have been on this test like- forever trying to figure this out im horrible at math someone please help me-
ss7ja [257]

Answer:

Step-by-step explanation:

total cost = c

students = s

cost = 7

c = s*7

independent is  s

dependent is c

7 0
3 years ago
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