enter a number in the box so that the equation will have infinitely many solutions.

The measure of the three missing angles in the given rhombus are:

x = 122°

z = 58°

y = 122°

A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.

x and 58° are adjacent angles and are therefore supplementary.

x = 180 - 58 = 122°

z = 58° (opposite angles)

y = x = 122° (opposite angles)

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[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49[/tex]

Answer:

34086 mm

Step-by-step explanation:

34m = 34000 mm

8cm = 80 mm

6mm = 6mm

34000+80+6 = 34086 mm

Answer:

34086 mm

34m = 34000m

8cm  = 80mm

I'm going to assume the limit is

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3}[/tex]

since problems like this usually involve indeterminate forms, and

√(x + 1) - 2 = x - 3 = 0

when x = 3.

To get around the discontinuity in the limand at x = 3, rationalize the numerator:

[tex]\dfrac{\sqrt{x+1} - 2}{x - 3} \times \dfrac{\sqrt{x + 1} + 2}{\sqrt{x + 1} + 2} = \dfrac{\left(\sqrt{x+1}\right)^2 - 2^2}{(x-3) \left(\sqrt{x+1}+2\right)} = \dfrac{x-3}{(x-3)\left(\sqrt{x+1}+2\right)}[/tex]

Now as x approaches 3, the factors of x - 3 cancel, the resulting limand is continuous at x = 3, and we have

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \boxed{\frac14}[/tex]

Answer:

x = 16

Step-by-step explanation:

Let the second number be x.

The first number = 2x

The third number = 2×2x = 4x

2x + x + 4x = 112

7x = 112

x = 112/7

x = 16

The point that lies on the perpendicular bisector of AB is point N

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

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Answer:

5y²

Step-by-step explanation:

Prime factorizing each term :

⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰

⇒ 15y⁶ = 5 x 3 x y⁶

⇒ 5y² = 5 x y²

===============================================================

From this, we understand the GCF of the numbers are :

⇒ 5 × y²

⇒ 5y²

Answer: D.

Step-by-step explanation:

5/9 + 2/4

find common denominator

common denominator=36

5 x 4=20    2 x 9=18

9 x 4=36    4 x 9=36

20/36 + 18/36

20 + 18=38

38/36 simplify

1 2/36 (if not in simpliest form)

Answer:

(a) 6ab² - 8a²b + 3ab

Step-by-step explanation:

Given: 5ab² - 12a²b + 3ab + ab² + 4a²b

In this question, we will be combining like terms.

What are like terms?

Like terms are terms with the same variables and power. For example, 2x and 4x, as well as 2a² and 4a².

Combine like terms:

5ab² - 12a²b + 3ab + ab² + 4a²b

(5ab² + ab²) + (-12a²b + 4a²b) + 3ab

6ab² - 8a²b + 3ab

Answer with step by step explanation

To find the equation of the line from the given equation, you have to make y as the subject in the equation.

Let us find now.

x + 3y = -4

3y = -4 - x

3y = -x - 4

Divide the whole equation by 3.

y = -x/3 - 4/3

Therefore, the equation of the line is:

y = -x/3 - 4/3

And now we have to find the slope and the y - intercept of the line.

That is, we have to find the m & c of y = m x + c.

Here,

m ⇒ slope

c ⇒ y - intercept

So, to find it we have to find the values which were replaced with m & c.

Let us find now.

y = m x + c

y = -x/3 - 4/3

Now it is clear that, -1/3 & -4/3 are replaced with m & c respectively.

Therefore,

slope ⇒ -1/3

y - intercept ⇒ -4/3

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

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Answer:

1 and 3/4

Step-by-step explanation:

KCF, Keep Change Flip

7/6 divided by 2/3 becomes 7/6 multiplied by 3/2, which is 21/12

This can be simplified to 7/4, or 1 and 3/4

The correct value of this algebraic expression is -1/16

Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.

*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +

*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -

[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]

[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]

[tex]\large \sf \dfrac{1}{-16}[/tex]

[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]

Therefore, the final answer to this simplification will be -1/16

Answer:

It b(4) because if you time 3 times 4 it equals 15.

Step-by-step explanation:

Answer:

A: X < 7

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

18,23,24,28,29,30

(6 in total + 1)/2=3.5.

- the number which is 3.5 is between 24 and 28.

- middle number between these two is 26.

The area of the smallest side of the right triangle is 25 ft².

A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.

Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.

Given that:-

The hypotenuse = 169 ft ²  = 13 ft

The side with area 144 ft²   = 12 ft

Using Pythagoras' identity to find the third side x ( smallest )

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = 5

Thus the area of the smallest side will be calculated as:-

A =  5²

A =  25 ft²

Therefore the area of the smallest side of the right triangle is 25 ft².

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d

Step-by-step explanation:

The name of the national road that follows the eastern coastline of South Africa is the N2.

The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.

It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.

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Answer:

a) 56

Step-by-step explanation:

(2x2x6)+(4x4x2)

24+32

The finance charge will be $ 0.76. Then the new balance will be $ 55.54.

Finance costs are paid to the provider in exchange for supplying cash or granting the loan.

The account balance on April 1st is $50.51.

On April 15th payment of $15.00 is made.

On April 25th a purchase of $19.27 is made.

The annual rate is 18%.

Then the finance charge will be

⇒ $ 50.51 x 0.18 / 12

⇒ $ 0.76

Then the new balance will be

New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76

New balance = $ 55.54

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Answer:

72cm²

Step-by-step explanation:

Hello!

The formula for area of a trapezoid: [tex]A = \frac12(b_1 + b_2)h[/tex]

We find the average of the bases, and multiply it by the height.

The area of the trapezoid is 72cm²

Answer:

what

Step-by-step explanation:

Answer:

96 inches

Step-by-step explanation:

1:24

4:x

cross multiply:

x=4*24

x=96

Answer:

[tex]x = -\dfrac 23\\\\x = -2[/tex]

Step by step explanation:

[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]

[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]

Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

The data value that is an outlier is 67

The dataset is given as:

83, 84, 85, 87, 89, 88, 67, 79, and 81

To determine the outlier, we select the data values that are relatively far from others

In the above dataset, the data element 67 is far from other data values

Hence, the data value that is an outlier is 67

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To solve this, we need to use our trigonometric equations

  ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

  [tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

Answer:

Division

Step-by-step explanation:

You can use division to divide fractions.

Say you have a problem

3/4 divided by 2/5

Turn 2/5 into its reciprocal

That would be 5/2

then multiply 3/4 and 5/2

Which would be 15/8

Which is your answer

(not sure if this is what you are really asking)