26 km
35 km
square kilometers

Answer:

21°

Step-by-step explanation:

We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.

5x+6=16x-27

Continue to solve . . .

33 = 11x

x=3

Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get

(16 x 3) - 27, which is equal to 21°.

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

[tex]6x - 14 = 8x - 20\\-2x = -6\\x = 3[/tex]

[tex]BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4[/tex]

The length of diagonal BD in rectangle ABCD is 4 units.

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal to each other. All the angles of a rectangle measure 90 degrees.

The diagonals of a rectangle are equal to each other.

AC = BD (diagonals of rectangle are equal)

6x - 14 = 8x - 20

2x = 6

x = 3

BD = 6(3) - 14 = 4 units

The length of diagonal BD in rectangle ABCD is 4 units.

Find out more on Rectangle at: https://brainly.com/question/25292087

Answer Yes because 2 sides are parallel

Step-by-step explanation:

pearson realize

Answer:

sodium chloride

Step-by-step explanation:

It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.

Answer:

x= 36 - k

Step-by-step explanation:

let X stand for the amount of exhibits open

36 is the total number of exhibits

K is the amount of exhibits closed

you would subtract k from 36 to find out how many exhibits are open

Answer:

x=-36k

Step-by-step explanation:

Answer:

24.30

Step-by-step explanation:

10/100=.1

27×.1= 2.70

27-2.70=24.30

Given:

The system of equations is

[tex]8x+9y=36[/tex]

[tex]3x+4y=16[/tex]

To find:

The solution of the given system of equations using the substituting method.

Solution:

We have,

[tex]8x+9y=36[/tex]           ...(i)

[tex]3x+4y=16[/tex]            ...(ii)

From (ii), we get

[tex]3x=16-4y[/tex]

[tex]x=\dfrac{16-4y}{3}[/tex]          ...(iii)

Putting this value in (i), we get

[tex]8\left(\dfrac{16-4y}{3}\right)+9y=36[/tex]

Multiply both sides by 3.

[tex]8(16-4y)+27y=108[/tex]

[tex]128-32y+27y=108[/tex]

[tex]-5y=108-128[/tex]

[tex]y=\dfrac{-20}{-5}[/tex]

[tex]y=4[/tex]

Putting y=4 in (iii), we get

[tex]x=\dfrac{16-4(4)}{3}[/tex]

[tex]x=\dfrac{16-16}{3}[/tex]

[tex]x=\dfrac{0}{3}[/tex]

[tex]x=0[/tex]

Therefore, the solution of given system of equations is (0,0).

Answer:

=64x^14+169

Step-by-step explanation:

happy to help ya :)

If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.

Then the value of x will be

The value of x will be given by the sine rule.

sin θ = x/h

WE have

θ = 57°

h = 4 cm

Then we have

sin 57° = x/4

x = 3.3546

x ≅ 3.36

More about the right-angle triangle link is given below.

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Answer:

-4-6x

Step-by-step explanation:

Distribute the -2

Answer:

-6x-4

Step-by-step explanation:

Answer:

x=19

Step-by-step explanation:

[tex]\frac{30}{x+5+30} =\frac{20}{36}[/tex]

700+20x=1080

20x=380

x=19

Answer: ( x -2 ) inches

Step-by-step explanation:

Let x  = length of skirt.

Given: Christi first cuts 7 inches off the bottom of the skirt and then adds a 5-inch ruffle to the skirt's remaining bottom edge.

Cutting of length will be represented by a negative integer.

The expression best represents the final length of the skirt = x-7+5 inches

= x -2 inches

Hence, the expression best represents the final length of the skirt = ( x -2 ) inches

Answer:

[tex] - 4x + 9 = 21 \\ - 4x = 21 - 9 \\ = 12 \\ x = \frac{12}{ - 4} \\ x = - 3[/tex]

Answer:

X = 12.21

Step-by-step explanation:

Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.

(10)^2 + (7)^2 = C^2

100 + 49 = C^2

149 = C^2

12.2065 = C

Rounded to two decimal places, this makes X equal to 12.21.

The required value of x is 12.21 for the given right triangle.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.

(10)² + (7)² = x²

100 + 49 = x²

149 = x²

x = √149

x = 12.2066

Rounded to two decimal places,

x = 12.21

Therefore, the required value of x is 12.21.

Learn more about Pythagoras's theorem here:

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Answer: y

Step-by-step explanation:

The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.

Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

[tex]60=y-10\\60=x+5[/tex]

[tex]60=y-10[/tex]

Add 10 to both sides

[tex]60+10=y-10+10\\70=y[/tex]

[tex]60=x+5[/tex]

Subtract both sides by 5

[tex]60-5=x+5-5\\55=x[/tex]

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Answer:

1.40

2.51

welp that's all

Answer:

y<2x−3 would be the answer

Answer:

2.5 would be 5 while 11.2 would be 22.4

Answer:

Step-by-step explanation:

perimeter=2(100+16)

                =2(116)

                =232 cm

area=100(16)

       =1600 cm²

Answer:

That kind of depends what x is...the theta angle? the hypotenuse? the base?

But i'll solve it for the missing value of the hypotenuse

5^2 +{ 12^2=c^2

169=c2

c=169 root

c=13 inches

Answer:

I think the answer to this question is 3,500 I'm sorry if I'm wrong.

Step-by-step explanation:

Answer:

60 for chocolate pretzels and 1.50 for strawberry for the total cost will be 2.10$

Step-by-step explanation:

Answer:

the total would be 1.50

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

The area = 1/2.b.h.

Answer:

The Answer should be 9

140-180=40

360÷40=9

Answer:

9

Step-by-step explanation:

size of each interior angle can be represented by: [tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]

solve for n:

[tex]140^{o} = 180^{o}[/tex]•[tex]\frac{(n-2)}{n}[/tex]                   multiply both sides by n

140ºn = 180º(n - 2)                 distribute 180º to (n - 2)

140ºn = 180ºn - 360º             subtract 180ºn from both sides

-40ºn = -360                          divide both sides by -40º

n = 9

Answer:

7/4 and 3

Step-by-step explanation:

Answer:

147.84 g/L

Step-by-step explanation:

Paso 1

El volumen del objeto se calcula como:

0.485L - 0.350L

= 0.135 litros

Paso 2

Convertimos la masa del objeto de libras a gramos

1 libra = 453.592 gramos

0.044 libras (lb) = x

Cruz multiplicar

x = 0.044 × 453.592 gramos

x = 19.958064 gramos

Paso 3

Densidad del objeto

= Masa (gramos) / Volumen (L)

= 19.958064 gramos / 0.135L

= 147.837511111 g / L

Aproximadamente = 147.84 g / L

Por lo tanto, la densidad (g / mL) del objeto es 147.84 g / L