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3 years ago

HOW ARE TRIANGLE PROOFS USED TO PROVE OTHER PROPERTIES OF GEOMETRIC FIGURES? EXPLAIN

1 answer:

6 0

When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle. All corresponding sides and angles will be congruent.

When triangles are congruent, six facts are always true.

Corresponding sides are congruent.

Corresponding angles are congruent.

The good news is that when proving triangles congruent, it is not necessary to prove all six facts to show congruency. There are certain ordered combinations of these facts that are sufficient to prove triangles congruent. These combinations guarantee that, given these facts, it will be possible to draw triangles which will take on only one shape (be unique), thus insuring congruency.

Read more about area models at:

brainly.com/question/18533236

7 0

2 years ago

How to do please help

weeeeeb [17]

Answer:

715.5

Step-by-step explanation:

The formula is A=1/2 b*h

so, b*h = 53*27 = 1431

Divide by 2 and the answer is 715.5

Hope this helps :)

7 0

3 years ago

Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8

Dima020 [189]

Let $f(x,y,z)=x+y+z-8e^{xyz}$ . The tangent plane to the surface at (0, 0, 8) is

$\nabla f(0,0,8)\cdot(x,y,z-8)=0$

The gradient is

$\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)$

so the tangent plane's equation is

$(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8$

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by $t$ , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

$(1,1,1)t+(0,0,8)=(t,t,t+8)$

or $x(t)=t$ , $y(t)=t$ , and $z(t)=t+8$ .

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0

3 years ago

a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball

SashulF [63]

Answer:

168.5 m/s^2

Step-by-step explanation:

6 0

3 years ago

Brainliest* show all work and look at the picture and do all three

hjlf

Answer/Step-by-step explanation:

Formula:

C = 2πr

Note: π = 3.14(About)

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[3] It given that the diameter is 16 ft.

Diameter - a straight line passing from side to side through the center of a body or figure

Radius - Half of Diameter

C = 3.14(16)

= 50.24 ft

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[4] It given that the radius is 7.5 in

Radius - a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

C = 3.14(15)

= 47.1 in

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[5] It given that the radius is 42 m

C = 3.14(84)

= 263.76 m

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As Noted : π is approximately 3.14. Thus the answers are approximately

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For more information:

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Kavinsky

7 0

2 years ago