If s = p^2 divided by q, find the value of s when p = -4 and q = 8.

The Triangle EHL and MPE by HL Congruence Rule.

Two triangles are said to be congruent if their sides and angles are the same length. Two triangles can thus be stacked side by side and angle by angle.

Two triangles are said to be congruent if their sides are the same length, their angles are the same measurement, and they may be superimposed on each other.

As, from the figure in Triangle EHL and MPE

EH = MP

EL = ME

<EHL = < MPE = 90

As, If the hypotenuse and a leg of one right triangle are congruent with the hypotenuse and leg of another right triangle, the triangles are congruent.

So, the Triangle EHL and MPE is Congruent by HL Congruence Rule.

Learn more about Congruence Rule here:

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Answer:

6 is less than 9 times b

Step-by-step explanation:

Answer:

It would be absolute value I think :)

Answer:

Step-by-step explanation:

4x + 3y = 6 -----------------(I)

4x - y =2 ---------------------(II)

Multiply (II) by (-1) and  then add

(I)                4x + 3y = 6

II) *(-1)        - 4x + y  = - 2   {Now add, x will be eliminated}

                         4y = 4

                           y= 4/4

y= 1

Plugin y =1 in equation (I)

4x +3*1 = 6

4x + 3 = 6

      4x = 6- 3

      4x = 3

        x = 3/4

Answer:

( [tex]\frac{3}{4}[/tex], 1 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 6 → (1)

4x - y = 2 → (2)

Subtract (2) from (1) term by term to eliminate x

4x - 4x + 3y - (- y) = 6 - 2, that is

4y = 4 ( divide both sides by 4 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

4x + 3(1) = 6

4x + 3 = 6 ( subtract 3 from both sides )

4x = 3 ( divide both sides by 4 )

x = [tex]\frac{3}{4}[/tex]

solution is ( [tex]\frac{3}{4}[/tex], 1 )

Answer:

dap yeeeeettttttt

Step-by-step explanation:

so, you just use the x's from the table and plug them into the equation to find the y.

y=(1)+9

y=10

y=(2)+9

y=11

y=(3)+9

y=12

y=(4)+9

y=13

i hope this helps :)

Answer:

D)

Step-by-step explanation:

He opens the account with $100 so the line would start on a 100 then he adds $25 each month meaning that the line should go up by 25 three times for the three different months he adds $25 The line should stay constant (not moving) for the next five months because he made no deposits, then finally for the next month, the line should dip down to 50 because it states his final amount of money in the account was $50.

Answer:

X=17 degree

Step-by-step explanation:

Please mark as brainliest

Answer:

h = 16 cm

Step-by-step explanation:

Given that,

The area of a trapezium, A = 512 cm²

The sum of the length of the parallel sides = 64 cm

The area of a trapezium is given by :

[tex]A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 512}{64}\\\\=16\ cm[/tex]

So, the distance between the parallel sides is 16 cm.

Answer:

(- 1, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

2x - 5y = 13 → (2)

Subtracting (1) from (2) term by term will eliminate the x-0 term

0 - 5y - y = 13 - (- 5) , that is

- 6y = 18 ( divide both sides by - 6 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

2x - 3 = - 5 ( add 3 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

solution is (- 1, - 3 )

Answer:

75π

Step-by-step explanation:

Equation is πr²h

Answer:

1/10

Step-by-step explanation:

8/80

divide numerator and denominator by 8

8÷8=1

80÷8=10

Answer:

Answer: it will cost $3.768 to fill the cone to its full capacity.

Step-by-step explanation:

The frozen yoghurt is filled in cone shaped cups. The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height if the cone.

r represents the radius of base of the cone.

π is a constant whose value is 3.14

From the information given,

r = 3 inches

h = 5 inches

Volume = 1/3 × 3.14 × 3² × 5 = 47.1inches³

If customers pay $0.08 per cubic inch, it means that the amount that it would cost to fill the cone to its full capacity is

0.08 × 47.1 = $3.768

please give brainliest

Answer:

it will cost $3.768 to fill the cone to its full capacity.

Step-by-step explanation:

have a nice day.

Answer:

6/15 + 5/15 = 11/15

Step-by-step explanation:

cross multiply the numbers to get a common denominators, then add

Answer:

-6.8

Step-by-step explanation:

test-nav

Answer:

x=187

Step-by-step explanation:

Use the exterior two secant intersecting theorem,

The Outside Angles Theorem states that the measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs.

In other words,

[tex] \frac{x - 97}{2} = 45[/tex]

[tex]x - 97 = 90[/tex]

[tex]x = 187[/tex]

Answer:

Step-by-step explanation:

The 3 angles must add up to 180. So

6x + 4x + 2x = 180

12x = 180

x = 15

Plug this into all the angles and you have your answers

Answer:

Step-by-step explanation:

The sum of a triangles angles is always 180 degrees.

2x+4x+6x=180

12x=180

x=15

A=6x=6(15)=90 degrees

B=2x=2(15)=30 degrees

C=4x=4(15)=60 degrees

Answer:

Her net income is more than $120.

Answer: 450. 00

Step-by-step explanation:

take the percent of each and multiply it by the years. do it for both. and add the 12000. then subtract both from each other and you get 450.

Answer:

y= [tex]\frac{2}{5}[/tex]x -3

Step-by-step explanation:

slope-intercept form is y=mx+b

m= slope

b= y-intercept

so plugin your numbers with the given data...

and you get y=2/5x-3

For the graph, you start at -3 on the y-intercept and then move right 5 and up 2

Graph is the picture below :)

Answer:

A

Step-by-step explanation:

Answer:

l = 6.00

Step-by-step explanation:

So A = l x w and P = 2l + 2w, they say they are equal to l (w) = 2l + 2w and we know that w = 3 so

3l = 2l + 2(3), so l = 6.

Answer:

3,-1

Step-by-step explanation:

when you go to the left 3 and down 4 you get the coordinates (3,-1)

Answer:

3, 5, 10, 15

Step-by-step explanation:

I hope its help

Answer:

-3-4x

Step-by-step explanation:

Answer:

A) -3 - 4x.

Step-by-step explanation:

-1(3 + 4x)

-1(3) + -1(4x)

-3 - 4x

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Hope this helps!