Which one of the following would prove that two triangles are congruenta

Answer:

50

Step-by-step explanation:

5 pages * 10 copies = 50 pages

Answer:

Step-by-step explanation:

Area formula:

The height is:

Substitute the value for area and set equation:

Note the second root ignored as negative

Answer:

x = 3.08  (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

 [tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

Answer:

I dont know The answer sorry

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Answer:

X = 2

Step-by-step explanation:

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

Learn more here: https://brainly.com/question/11854155

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

Step-by-step explanation:

Using Pythagoras theorem,

Let the ratio of the sides be x

B²=H²-P²

B²= (25x)²-(21x)²

B²=625x²-441x²

B²=184x²

B=13.56x.

hope this helps you.

Answer:

Your answer is [tex]\sqrt{184}[/tex] or 13.5646599663...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\A^{2} +21^{2} = 25^{2} \\A^{2} = 25^{2} - 21^{2} \\A^{2} = 625-441\\A^{2} = 184\\A = \sqrt{184}[/tex]

Hope this helps!

Answer:

-2

Step-by-step explanation:

y+z-2y

First substitue y and z for 4 and 2.

4+2-2(4)

Then using PEMDAS, multiply.

4+2-8

Then solve normally.

-2

Answer:

(64.7, 67.9)

Step-by-step explanation:

(66.3-2*08, 66.3+2*0.8)

(66.3-1.6, 66.3+1.6)

(64.7, 67.9)

Answer:

Hope it helps you.......

Answer:

You technically can't do anything with it since it the algebraic expression doesn't factor.

Step-by-step explanation:

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

Answer:

C is the inequality

Hope it's help :D

Step-by-step explanation:

For question

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

-7.763 will be the total to the answer.

Answer:

the second and last sentences.

Step-by-step explanation:

Its the most reasonable!

Answer:

It is accutally 1st 2nd and 3rd plz trust me

Step-by-step explanation:

it is the corect

Step-by-step explanation:

1)2*(Cos(x)^2*Sin(x))-Sin(x)^3

2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3

3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3

4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3

5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3

Answer:

Hope my answer helps you mark me brianliest plz

Step-by-step explanation:

d =√(x2-x1)+(y2-y1)

Answer:

GOOD LUCK ON YOUR TEST YOU WILL DO GOOD

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

4(2x-5)=5x+4

Distribute

8x -20 = 5x+4

Subtract 5x from each side

8x -20 -5x = 5x+4-5x

3x-20 = 4

Add 20 to each side

3x-20+20 = 4+20

3x = 24

Divide by 3

3x/3 =24/3

x=8

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)

Answer:

I'm confused by the points:  

Why three points for each (A, B, C, and D)?: A: (0,6)(0,6)(0,6), etc.

Points A and B [(0,6) and (4,2)] are consistant with a straight line of the form y=-x+6.

Points C and D [(-6,8),(-8,10)]are on the line y=-x+2.  

A and B aren't related to C and D.

Step-by-step explanation:

Big bag don't mean everything wavy

I got 99 problems like Jay Z

Caught a felony judge tried to slave me

Lost my grandmother R.I.P Mavy

I got money and move shady

What do you need help with?

top hole

x = 38 cos 60

y = 38 sin 60

bottom hole

x = 38 cos 30

y = 38 sin 30

The coordinate of holes is (43.3, 25) and (25, 43.3).

It is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.

Two 2 centimeter holes are drilled in the plate.

Two 2 centimeter holes are drilled in the plate, positioned.

Holes are at 50 cm from the center at an angle of 30 and 60 degrees.

So the coordinate will be given by

[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]

Then for the first hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]

For the second hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]

Thus the coordinate of holes is (43.3, 25) and (25, 43.3).

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

Answer:

3......................

Answer:

X=3!

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.  

Step 2: Subtract 1 from both sides.

Step 3: Multiply both sides by 3/2.

Answer:

x=3