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Ratling [72]
3 years ago
7

A right isosceles triangle

Mathematics
1 answer:
kherson [118]3 years ago
3 0
Is really nice, don't you think?
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F(x) = 4x+1 and<br> g(x) = x^2 +1<br> find (F o g) (3) =
wel

Answer:

g(3)= 3^2+1= 9+1=10

f(10)= 4(10)+1= 41

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3 years ago
Tell whether the difference between two negative integers is always, sometimes, or never positive. The difference between two ne
babymother [125]

Answer:

. 2) It’s positive only if the first integer is greater

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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
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Find the measure of angle x in the figure below: (1 point) Two triangles are shown such that one triangle is inverted and share
Elena L [17]
75°+75°=150°
angles in a triangle add up to 180°
180°-150°=30°
c) x=30°
5 0
3 years ago
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