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3 years ago

Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?

Mathematics

1 answer:

N76 [4]3 years ago

6 0

Answer:

SAS

Step-by-step explanation:

SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".

We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.

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Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7). . . r = SQRT _

const2013 [10]

The area of a rectangle is calculated through the equation, V = L x W. That of the circle is equal to V = πr². These areas should be equal,
V = L x W = πr²
Substituting the known values,
2 ft x 11 ft = (22/7)(r²)
The value of r is sqrt 7.

4 0

4 years ago

Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).

a_sh-v [17]

First you want to get it into standard form. which would mean you get the x of the side of the y and divide everything by the y's coefficient in this case 3.

3y-x=a

3y=x+a

y=1/3x+a

Now your going to want to turn this into a perpendicular li e which means you flip the coefficient and make it negitive

y=-3x+a

then we fill in the points.

-1=-3(2)+a

Solve

-1=-6+a

-1+6=a

5=a

Now put it in standard form.

y=-3x+5

3 0

4 years ago

Solve for x in the equation 2xsquared-5+1=3.

gizmo_the_mogwai [7]

Answer:

x = 1.87

Step-by-step explanation:

2x^2 - 5 + 1 = 3

2x^2 = 3 + 5 - 1

2x^2 = 7

x^2 = 7/2

x = √3.5

x = 1.87082.....

x = 1.87 ( 3 significant figures )

4 0

3 years ago

Hello guys, I really need help answer this, can you guys please help! I will give brainliest! thank you for all..

Pachacha [2.7K]

Answer:

Step-by-step explanation:

889.64

889.64 would round to 889 + 1 which is 890

5 0

3 years ago

Match each function with the expression representing Its Inverse function.

USPshnik [31]

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

Equation form of the given function is,

y = -0.5x

Interchange x and y,

x = -0.5y

Solve for y,

y = $-\frac{x}{0.5}$

y = -2x

Inverse function will be,

$g^{-1}x=-2x$

2). h(x) = 4x

Equation form of the function will be,

y = 4x

Interchange x and y,

x = 4y

Solve for y,

y = $\frac{x}{4}$

Inverse function will be,

$h^{-1}(x)=0.25x$

3). y = x - 4

Interchange x and y,

x = y - 4

Solve for y,

y = x + 4

Therefore, inverse of the linear equation is,

y = x + 4

4). f(x) = $\frac{x}{2}$

Equation form of the function will be,

y = $\frac{x}{2}$ = x

Interchange x and y,

x = $\frac{y}{2}$

Solve for y,

y = 2x

Therefore, inverse function will be,

$f^{-1}(x)=2x$

5). k(x) = x

Equation form of the function will be,

y = x

Interchange x and y,

x = y

Solve for y,

y = x

Inverse of the function 'f' will be,

$k^{-1}(x) =x$

6). p(x) = x + 4

Equation form of the function will be,

y = x + 4

Interchange x and y,

x = y + 4

Solve for y,

y = x - 4

Inverse of the function 'p' will be,

$p^{-1}(x)=x - 4$

7 0

3 years ago