Which expression is equivalent to

Answer:

x=35

Step-by-step explanation:

When a is parallel to b, the two angles will add to 180

x+ 3x+40=180

Combine like terms

4x+40 =180

Subtract 40 from each side

4x= 180-40

4x= 140

Divide by 4

4x/4 = 140/4

x=35

Answer:

[tex]M.A.D = 18.9[/tex]

Step-by-step explanation:

Given: 22,26,28,35,45,63,91

Required: Mean Absolute Deviation

The first step is to solve for the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

where x->22,26,28,35,45,63,91 and n = 7

[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]

Then; subtract the calculated mean from each data

[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]

Get Absolute Values of the above results

[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]

Calculate the mean of the above result to get the M.A.D

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]

Answer:

4/15

Step-by-step explanation:

You would have to multiply the fractions, but first reciprocate the dividend.

3/5 * 4/9

Multiply

3 * 4 = 12

5 * 9 = 45

12/45

Simplify using LCM, or the factor that applies to both sides which in this case is 3

12/3 = 4

45/3 = 15

The answer is 4/15

Answer:

4/-15

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]

Invert the second fraction and multiply

[tex]\frac{3}{5}[/tex]  ×[tex]\frac{4}{-9}[/tex]

= [tex]\frac{12}{-45}[/tex]

Simplify:

=[tex]\frac{4}{-15}[/tex]

Answer:

is two quadrilaterals are congruent, ten there must be 4 pairs of corresponding sides.

Answer:

4 pairs of corresponding sides

Step-by-step explanation:

if two quadrilaterals are congruent, then they have the same sides and are identical

quadrilaterals have 4 sides

therefore, each of their 4 sides are identical to each other

making the answer 4 pairs of corresponding sides.

hope this helps!!!

(btw i just took the gradpoint test and the answer was right)

Answer:

The first one.

Step-by-step explanation:

For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).

Answer:

The first one

Step-by-step explanation:

because it is the only one that actually applies to the function

Answer:

See below;

Step-by-step explanation:

1 . Consider the step below;

[tex]m< DCA = 90 degrees - Given ,\\m< ACB = 180 degrees - Straight < ,\\\\m< DCA + m< DCB = 180,\\m< DCB = 90 degrees,\\\\By Parts Whole Postulate - m< DCB = m< DCE + m< ECB,\\m< DCB = m< DCE + m< ECB,\\90 = 53 + g,\\Conclusion ; ( g = 37 degrees )[/tex]

Thus, Solution ; g = 37 degrees

2 . Knowing that these circle are " circumscribed " in this rectangle so that they are perfectly aligned, considering the length of this rectangle to be 20 inches, let us determine the radius;

[tex]Diameter Of 1 Circle - ( 20 inches ) / 4 = 5 inches,\\Radius of 1 Circle = ( 5 inches ) / 2 = 2.5 inches,\\\\Area of 1 Circle = \pi r^2 = \pi * ( 2.5 )^2 = 6.25\pi,\\Area of 4 Circles = 6.25\pi * 4 = 25\pi,\\Area of 4 Circles = Area of Shaded Region,\\\\Conclusion ; Area of Shaded Region = 25\pi[/tex]

Thus, Solution ; 25π

3. Let us first consider the given, then solve for the value of a, b, e;

[tex]Angles c + e - Vertical Angles,\\Angles a + c - Complementary,\\( a + c ) = 90,\\Angle c = 56 degrees,\\a + 56 = 90,\\Conclusion ; a = 34 degrees,\\\\[/tex]

[tex]m< e = m< c,\\Conclusion ; e = 56 degrees[/tex]

[tex]m< e + m< a + m< b = 180 - Straight Line,\\56 + 34 + m< b = 180,\\m< b = 180 - 56 - 34,\\Conclusion ; b = 90 degrees[/tex]

Solution; a = 34°, b = 90°, e = 56°

Answer: The next 5 numbers would be "33,37,41,45,49

Step-by-step explanation:

Answer:d

its a apartment thats just one big room

Answer:

64π

Step-by-step explanation:

Answer: The area is  1 1/4. The perimeter is 6.

Step-by-step explanation: 2.45 is about 2.5.   5/8 is about 1/2.  To find the area we need to multiply length times width.  2.5 is  2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2.  5/8 is about 1/2 if we use benchmarks.     2 1/2 + 2 1/2 +  + 1/2 + 1/2 is 6. The perimeter is 6.

Answer:

the answer is 78

Step-by-step explanation:

3x6 is 18

4x3 is 12

4x3 is 12

6x6 is 36

added together it is 78

Answer:

we simply see 4 has multiplied by -3

-12 = 4 x -3

This becomes -300%

We then add the 100 = initial amount onto a negatove percentage = -300 +100 = -200% change.

Step-by-step explanation:

3.00 x 4 = 12

4 + 8 = 12

4 x -2.00 = -8 being the change. The answer is -2.00 = -200%

Shows part of the answer and proves the answer is -200%

Answer:

[tex]18m[/tex]

Step-by-step explanation:

[tex]P=4a=4*4.5=18m[/tex]

Answer:

Perimeter = 18m

Step-by-step explanation:

square = has four sides

P = perimeter

P = 4 · 4.5 = 18m

Perimeter = 18m

Answer:   OA)  5:3

Step-by-step explanation:

5:3

5 to 3.  Or 5/3.      Are the 3 ways that you.can write a ratio.  

Answer:

OA, OB, OD

Step-by-step explanation:

It does depend on which side each number is on. If you are comparing the stawberries to whipped cream it would be 5:3 (OA).

But if you were to compare whipped cream to stawberries it would be 3:5 (OB) or 3/5 (OD)

Answer:

B.

Step-by-step explanation:

If you dont understand what I wrote, just ask!

Answer:

B

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{6x^2}[/tex] × [tex]\sqrt{3x}[/tex]

= [tex]\sqrt{18x^3}[/tex]

= [tex]\sqrt{9(2)x^2(x)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 3 × [tex]\sqrt{2}[/tex] × x × [tex]\sqrt{x}[/tex]

= 3x × [tex]\sqrt{2}[/tex] × [tex]\sqrt{x}[/tex]

= 3x[tex]\sqrt{2x}[/tex] → B

Answer:

x = 4, x = - 8

Step-by-step explanation:

(x+ 2)² = 36

√(x+2)² = + √36     √(x+2)² =  -√36  

x+2 = 6                     x+2 = -6

x= 4                          x = - 8

Answer:

the maximum value is 3

Step-by-step explanation:

The maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

Explanation:

Basically triangles are congruent when they have the same shape and size.

Two triangles are congruent if they have :

exactly the same three sides and

exactly the same three angles.

Tips Area :

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent too :)

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ;)

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent too ^^

Hope that help :)

Answer:

1/3

Step-by-step explanation:

3^2/5 x 3^-7/5

We know that a^b* a^c = a^(b+c)

3^(2/5 -7/5)

3^ (-5/5) = 3^ -1

We know that a^-b = 1/ a^b

3^-1 = 1 / 3

Answer:

g(x + 4) = -4x - 11

Step-by-step explanation:

Since g(x) = -4x + 5, g(x + 4) = -4(x + 4) + 5

g(x + 4) = -4x - 11

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²

Answer:

B.

F.

Step-by-step explanation:

Look at the angle. It is obtuse so the triangle is obtuse.

The sides are congruent so it is an isosceles.

Answer:

B,F

Step-by-step explanation:

sides are equal.

One angle=104°>90°

so itis an isosceles obtuse triangle.

Answer: w = 125

Explanation: Since w is being divided by 5, to solve for w,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So w = 125.

Please do not do this problem in your head.

Show the work that it takes to get w by itself.

Given:

To find out:

Find the area of rectangle?

Formula used:

Area of rectangle = length × breadth

Solution:

We know that,

Area of rectangle = length × breadth

= ( x + 2 ) × 3

= 3x + 6

Answer:

B

Step-by-step explanation:

P=(1/2)(1/2)=1/4

Answer:

Answer C. x = 2

Step-by-step explanation:

Given:

x − 2y = 2

3 * ( x ) + y = 6

You need to group the x-coordinates of the system of equations.

Rewrite x − 2y = 2 , in such a way that it starts with x =...

x = 2y + 2

Substitute x = 2y + 2 in 3 * ( x ) + y = 6, which gives:

3 * ( 2y + 2 ) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

Substitute y = 0 in x = 2(y) + 2 gives x = 2*0 + 2

So x = 2, which is answer C.

x - 6x + 2x - 2x

x - 6x + 0

-5x

The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2. Option c is correct.

system of equations is given as,

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
x coordinate of the solution to the following system of equations to be determined.

the equation is the relationship between variables and is represented as a polynomial equation.

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
From equation 1
x = 2y +2
put x in equation 2
3 (2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Put y = 0 in x = 2y + 2
x = 2(0) + 2
x = 2

Thus, The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2.

Learn more about the equation here:

brainly.com/question/10413253

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Answer:

Answer:

a(n) is equal to $45,000

(1.035)n-1

Step-by-step explanation: