A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?

Answer:

In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Thank you!!!!

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Explanation:

The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.

This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.

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The four theorems generally available for showing congruence of triangles are abbreviated ...

  SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important

These list the sides/angles that must be identified as corresponding congruent parts.

Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.

If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.

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Additional comment

In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.

The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.

Step-by-step explanation:

using set notation

domain [-3,3]

range[-1,3]

Answer:

y= -2x+1

Step-by-step explanation:

y=mx+b

y= -2x +b

3= -2(1) +b

3= -2 +b

b=1

y= -2x+1

Answer:

The third one

Step-by-step explanation:

y=>x+1

y=<x-1

removing y

x-1 => x+1

removing x

we have no solution

Answer:

(-1, -4.5)

(-1.5, -2.5)

Step-by-step explanation:

To find the midpoint add the coordinates and divide by 2

19.( -8,-2) (6,-7)

((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)

20. ( 6,5) (-8,-10)

(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)

Answer:

19. (-1, -4.5)

20. (-1, -2.5)

Step-by-step explanation:

19.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-9}{2}[/tex]

Divide.

-1, -4.5

20.

Use the midpoint formula.

[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Substitute the values.

[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]

Add/Subtract the numerators.

[tex]\frac{-2}{2},\frac{-5}{2}[/tex]

Divide.

-1, -2.5

Answer:

Step-by-step explanation:

The lowest common denominator of 10 and 6 is 30.

9/10 = 3*9/10*9 = 27/30

1/6 = 5/1/(6 * 5) = 5/30

6 27/30 - 5/30 = 6 22/30 = 6 11/15

Answer 6 11/15

$224

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Answer:

C

Step-by-step explanation:

Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.

y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45

Answer:

Step-by-step explanation:

For obects already in motion, the distance travelled, s, is:

s = vi*t + (1/2)at^2

where vi is the initial velocity, a is the acceleration, and t is the time in seconds.

We want the time, t, to reach 1000 meters.

1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)

(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2

0.05t^2 + 3t -1000 = 0

Solve quadratic equation:

t = 114.6 seconds

Answer:

Step-by-step explanation: -3(m-2)=-9

                                           -3m + 6 = -9

                                           -3m = -15

                                                 m=5

Answer:

[tex]m=5[/tex]

Step-by-step explanation:

[tex]-3(m-2)=-9~(Given)\\\\-3m+6=-9~(Distributive~Property)\\\\-3m+6-6=-9-6~(Addition~Property~of~Equality)\\\\-3m=-15~(Simplify)\\\\\frac{-3m}{-3}=\frac{-15}{-3}~(Division~Property~of~Equality)\\\\m=5~(Simplify)[/tex]

Answer:

Michael's daily income is $96

Step-by-step explanation:

Given

john's income=$120

by question

John's income is 20%more than Micheal's

so,. Micheal's income= John's income - 20%of John's income

=$120 - 20%of $120

=$120 -20/100*$120

=$120 - $24

=$96

Answer:

100

Step-by-step explanation:

[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]

Answer:

b) m = 1/2

c) m = 3

d) m = 1/3

Step-by-step explanation:

b) rise = 1, run = 2; m = rise/run, so m = 1/2

c) rise = 3, run = 1; m = rise/run, so m = 3

d) rise = 1, run = 3; m = rise/run, so m = 1/3

Answer:

coordinate is 3rd or -;- coordinates

Answer:

K=3r-s

K+s=3r

K/3+s/3=r

Step-by-step explanation:

k=3r-s

k+s=3r

k+s/3 = r

r = k+s/3

Answer:

if

A= 3

B= 4

C= 2

so

A x B - C

iis

3 x 4 - 2

=12 - 2

=10 ✓

Answer:

if

A= 3

B= 4

C= 2

so

A x B - C

iis

3 x 4 - 2

=12 - 2

=10 ✓

Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

Answer:

(x, y) = (57/4, 31/4)

Step-by-step explanation:

-2x + 6y = 18

-2x = 18 - 6y

x = -9 + 3y

3(-9 + 3y) - 5y = 4

-27 + 9y - 5y = 4

4y = 31

y = 31/4

x = -9 + 3(31/4) = 57/4

Answer:

Step-by-step explanation:

-5y=4-3x

y=(4/-5)-(3/-5x)

2x+6y=18

6y=18-2x

y=18/6-(2/6x)

y=y

(4/-5)-(3/-5x)=18/6-(2/6x)

0.93x=3.8

x=3.8/0.93

x=4.09

sub 4.09 for the 3x-5y=4

which will give you y=1.65

sub 4.09 for -2x+6y=18

which will give you y=4.36

Answer:

Rational

Step-by-step explanation:

Its rational because it has the same numbers/pattern

You can find the answer in the image above.

Answer:

f(x)=-6*(x+1)^2+-7

Step-by-step explanation:

This is because the vertex is at (-1|-7)

f(x)=-6*x^2+-12*x+-13

f(x)=-6*(x^2+2*x+13/6) ( Factor out )

f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )

f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )

f(x)=-6*((x+1)^2+1*7/6) ( simplify )

f(x)=-6*(x+1)^2+-7 ( expand )

Hope this Helps

Answer:

(0,4) and (5,-3)

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

I’ll substitute x for the blank space:

-2 = x + 6

-2 - 6 = x

x = -8

-8 + 6 = -2 ✅

Answer:

Step-by-step explanation:

Is there a question to it?

Answer:

X=-2.4

Step-by-step explanation:

3x+4=8x+16

-5x+4=16

-5x=12

x=-2.4

Answer:

12 * 1.07 = 12.84

Step-by-step explanation:

You an can pick any number to express another number in this example we find  0.84 = 7% and 12 = 1 as 12 represents 1 whole.

Answer:

15*4=60;60*3.5=210

Step-by-step explanation:

60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets

Answer:

answer is 1/4 × 3 1/2 =

3 1/8

Answer:

the total cost is $21

Step-by-step explanation:

Shelby:

3 bandanas, 1 comb

3 × 2 + 1× 1

6+1= 7

kendra:

2 bandanas, 4 combs

2×2 + 4×1

4+4

=8

Lucy

4 bandanas

4×2=

8

since she has a buy 1 get 1 half off coupon

she pays full price for 2 hence 2×2= 4

half price for 2 hence 2×1 = 2

thus 4+2=6

total price= 7+8+6

= 21 dollars

The ball hits the ground at 0 seconds or 2.5 seconds.

h represents the height of the golf ball after x seconds. The height is given by:

h(x)=-4.8x(x-2.5)

h(x) = -4.8x² + 12x

The time taken for the ball to reach the ground is at h(x) = 0, hence:

0 = -4.8x² + 12x

4.8x² - 12x = 0

x(4.8x - 12) = 0

hence x = 0; or 4.8x - 12 = 0

x = 0; or x = 2.5

Therefore the ball hits the ground at 0 seconds or 2.5 seconds.

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