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4 years ago

Which figures appear to be congruent polygons?

Mathematics

1 answer:

Arte-miy333 [17]4 years ago

4 0

4 and 5 have 6 sides and appear to be congruent.

Answer

4 and 5

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up

Anit [1.1K]

Let

$A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)$

using a graph tool

see the attached figure

The figure is a triangle

we know that

The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

$Area=\sqrt{p*(p-a)*(p-b)*(p-c)}$

where

p is is half the perimeter of the triangle

a,b,c are the lengths of the sides of a triangle

Step $1$

Find the length sides of the triangle

a) Find the distance AB

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}$

$d =3.5\ mi}$

b) Find the distance AC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}$

$d =6.15\ mi}$

c) Find the distance BC

$d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

Substitute

$d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}$

$d =2.75\ mi}$

Step $2$

Find the perimeter of the triangle

$Perimeter= 3.5+6.15+2.75 =12.4\ mi$

Find the half of the perimeter

$p=\frac{12.4}{2} = 6.2\ mi$

Step $3$

Find the area of the triangle

$Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}$

$Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}$

$Area= 1.69\ mi^{2}$

therefore

the answer is the option

a) 1.65 mi^2.

4 0

3 years ago

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Describe the location of the point that has the following coordinates. positive abscissa, positive ordinate

Marysya12 [62]

The cartesian plane is composed of four quadrants: quadrant I, II, III and IV. Quadrant I has positive x and y axes. Quadrant II has negative x axis and y axis. Quadrant III has both negative x and y axes while quadrant IV has positive x axis and negative y axis. x value refers to the abscissa while y value refers to ordinate. Answer hence is A

4 0

4 years ago

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A function g(x) = -x^2 + 3x - 2. What is g(-4)?

Butoxors [25]

G(-4) = 4^2 + 3(-4) - 2

16 - 12 - 2

4 - 2

answer: 2

7 0

3 years ago

Solve for x: 1/8-2/×=5 someone pls help me ASAP

cricket20 [7]

Begin by subtracting 1/8 from both sides to get $- \frac{2}{x} =5- \frac{1}{8}$ and get a common denominator of 8 on the right: $- \frac{2}{x} = \frac{40}{8} - \frac{1}{8}$ . Now simplify and cross-multiply: 39x = -16 andx = -16/39

6 0

3 years ago

Given that the measure of ∠x is 110°, and the measure of ∠y is 59°, find the measure of ∠z.

ch4aika [34]

180-110=70
180-(70+59)=180-129=51
Z=51 im p sure

6 0

3 years ago