The figure shows a rhombus ABCD where the diagonals AC and BD intersect at E. Find the value of x.

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Answer:
you saved $10.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 40 × 25/100

Discount = 40 x 0.25

Answer:

10

Step-by-step explanation:

What is 25% of 40?

Y is 25% of 40

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 25% * 40

Converting percent to decimal:

p = 25%/100 = 0.25

Y = 0.25 * 40

Y = 10

[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,3)\qquad Q(a,b)\qquad \qquad \stackrel{\textit{ratio from P to Q}}{2:3} \\\\\\ \cfrac{P\underline{R}}{\underline{R} Q} = \cfrac{2}{3}\implies \cfrac{P}{Q} = \cfrac{2}{3}\implies 3P=2Q\implies 3(-10,3)=2(a,b)[/tex]

[tex](\stackrel{x}{-30}~~,~~ \stackrel{y}{9})=(\stackrel{x}{2a}~~,~~ \stackrel{y}{2b}) \\\\\\ R=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-30+2a}}{2+3}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{9+2b}}{2+3} \right)}~~ = ~~\stackrel{\textit{and we know that is}}{(4~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex][tex]\cfrac{-30+2a}{5}~~ = ~~4\implies -30+2a=20\implies 2a=50\implies a=\cfrac{50}{2}\implies \boxed{a=25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9+2b}{5}~~ = ~~7\implies 9+2b=35\implies 2b=26\implies b=\cfrac{26}{2}\implies \boxed{b=13}[/tex]

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. The coordinates of the point Q are (25,13).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Let the coordinates of the point Q be represented by Q(a,b).

Given the Ratio from P to Q is 2:3.

The internal division of the line segment using the ratios will be,

PR/RQ = 2/3

3P = 2Q

3(-10, 3) = 2(a, b)

Now, the coordinates of R can be rewritten as,

[tex]R = (\dfrac{-30+2a}{2+3},\ \dfrac{9+2b}{2+3}) = (4,7)[/tex]

Comparing the coordinates,

(-30+2a)/(2+3) = 4

a = 25

(9+2b)/(2+3) = 7

b = 13

Hence, the coordinates of the point Q are (25,13).

Learn more about Coordinates:

https://brainly.com/question/23450276

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Answer:

11/61

Step-by-step explanation:

cos b = adj side/hypotenuse

=11/61

Answer:

CosB = B/H

Base(B)= 11

Perpendicular (P)=60.

Hypotenuse (H)= 61

CosB = B/H

CosB= 11/61

Answer:

21.43

Step-by-step explanation:

280+20=300=total spent

300÷14=21.4285714

21.4285714 to the nearest hundredths place= 21.43

Answer:

M' (- 6, 4 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 90°

a point (x, y ) → (y, - x ) , then

M (- 4, - 6 ) → M' (- 6, 4 )

Answer:

1.378 approximately 1.38

Step-by-step explanation:

we're looking for x which is the opposite in the diagram we've been given the hypotenuse in the question as 1.8

so we use sin = opp/hypotenuse

sin50= x/1.8

x = sin50× 1.8

x= 1.378

approximately 1.38

Answer:

-10 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

-10

Because I worked it out on paper

Answer:

41 28571/100000

Step-by-step explanation:

56p = 2312

We rewrite this expression into this:

p = 2312/56 ≈ 41.286

Answer:

[tex]3x+8a[/tex]

Step-by-step explanation:

Given the following question:

[tex]10a+6x-2a-3x[/tex]

In order to find the answer, we combine like terms and then simplify.

[tex]10a+6x-2a-3x[/tex]
[tex]=6x-3x+10a-2a[/tex]
[tex]6x-3x=3x[/tex]
[tex]10a-2a=8a[/tex]
[tex]=3x+8a[/tex]
[tex]3x+8a[/tex]

Hope this helps.

Answer:

The answer is B!!HOPE THIS HELPS :)

Step-by-step explanation:

I just guessed it and its right :)

Answer:

b

Step-by-step explanation:

Answer:

4 miles

Step-by-step explanation:

4 miles because if if if 58 of mile which is just a half mile basically and she does 7 laps

7 x 0.58=4.06 which is 4 miles

Have a good day :}

Step-by-step explanation:

Let's turn each mixed fraction into an improper fraction.

[tex]1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} [/tex]

[tex]2 \frac{1}{5} = \frac{5}{5} + \frac{5}{5} + \frac{1}{5} = \frac{11}{5} [/tex]

We'll use 11/5 twice.

Multiply:

[tex] \frac{5}{4} \times \frac{11}{5} = \frac{55}{20} [/tex]

[tex] \frac{55}{20} = \frac{20}{20} + \frac{20}{20} + \frac{15}{20} = 2 \frac{15 \div 5}{20 \div 5} = 2 \frac{3}{4} [/tex]

Multiply the Second problem:

[tex]\frac{5}{6}\times\frac{11}{5}=\frac{55}{30}[/tex]

[tex]\frac{55}{30} =\frac{30}{30} +\frac{25}{30}= 1 \frac{25 \div 5}{30 \div 5} = 1 \frac{5}{6}[/tex]

Compare:

[tex]2 \frac{3}{4} > 1\frac{5}{6} [/tex]

2 3/4 is greater, we can identify this a few ways:

Therefore, your answer is >

Answer:

Addition Property of Equality

Step-by-step explanation:

To solve this equation, we need to use the Addition Property of Equality because we need to add 10 to both sides to isolate x...

x-10=5

x-10+10=5+10

x=15

Right triangles are triangles with a measure of 90 degrees

The value of x is 76/11

The equation is given as:

sin (3x+5) = cos (8x+9)

To solve for x, we make use of the following theorem

If sin(A) = cos(B), then

A + b = 90

So, we have:

3x + 5 + 8x + 9 = 90

Collect like terms

3x + 8x = 90 - 5 - 9

Evaluate the like terms

11x = 76

Divide both sides by 11

x = 76/11

Hence, the value of x is 76/11

Read more about right triangles at:

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Answer:

C

Step-by-step explanation:

[tex]12000 \times {1.05}^{4} = 14586[/tex]

It should cut into

2 ne t is accurate

Answer:

A)  net A

B) AB = 3 in    BC = 5 in    CD = 8.6 in

C) 106.6 in²

Step-by-step explanation:

Part A:  

Part B:

From inspection of the diagram:

Part C:

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Surface area = 2(4 x 8.6) + (3 x 8.6) + 2(1/2 x 4 x 3)

                     = 68.8 + 25.8 + 12

                     = 106.6 in²

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

The sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60° are  6√3 and 4√3.

This is defined as the longest side of a right-angled triangle and is opposite to the right angle.

The ratios of the sides of a 30/60/90 triangle are x, x√3, 2x (short leg, long leg, hyp). We can infer that the long leg is 6 'units' which is

6 = x√3

x = 6√3.

The hypotenuse is 2x then the hypotenuse is 2(6√3)

= 12√3 when rationalized

= 12√3/3 = 4√3.

Read more about Right angle triangle here https://brainly.com/question/18452950

you took time typing help that you forgot your Question :D

Answer:

length = 6 cm, breadth = 3 cm, perimeter 18 cm

Step-by-step explanation:

Let the breadth be x,

Then the length will be 2x

area of rectangle = length * breadth

using the formula:

The breadth is 3 cm

Length:

perimeter of rectangle:

For more length, area, width questions:

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Answer:

Step-by-step explanation:

Let the breadth = x cm

Length = 2x

2x *x = 18

     x² = 18/2

     x² =9

     x = √9

x = 3 cm

Breadth = 3 cm

Length = 2*3 = 6 cm

Perimeter = 2*(length + breadth)

 =2*(3+6)

= 2*9

Perimeter = 18 cm

Hey there!

x + y + x

= 2 + (-3) + (-4)

= 2 - 3 - 4

= -1 - 4

= -5

Therefore, your answer is: -5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 100/103, 184481/150000

Step-by-step explanation:

The slope formula is

(y2-y1)/(x2-x1)

In the point (-3,2),

-3 is x and 2 is y

y2 represents the second y point, and y1 represents the first y point

same for x

so, its

(-3-2)/(-2-(-3))=

-5/1=

-5

Answer:

585 calories are in 9 apples

Step-by-step explanation:

Number of apples :   3   ||   5    || 8

Number of calories: 195 || 325 || 520

Find the unit rate:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{325-195}{5-3}[/tex]

[tex]\frac{130}{2}[/tex]

[tex]65[/tex]

Find equation:

y - 325 = 65( x -5)

y = 65x - 325 +325

y = 65x .....this is the equation to find any number of calories.

put x as 9 here:

y = 65x

y = 65(9)

y = 585 calories

Answer:

145

Step-by-step explanation:

The value of x in the given parallelogram is: x = 7.

A parallelogram has two congruent diagonals that bisect each other into equal segments.

Thus:

KU = Um

Substitute

3x + 3 = 4x - 4

Combine like terms

3x - 4x = -3 - 4

-x = -7

x = 7

Therefore, the value of x in the given parallelogram is: x = 7.

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Answer:

5x = x - 2

Step-by-step explanation:

"And" means to multiply, so 5 × (x)

two less than a number is "X - 2"

I hope this helps!

Answer:

the answer is always c trusttt