Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]

x = 30°

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

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Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

Answer:

19, I'm pretty sure?

Answer:

25%

Step-by-step explanation:

Percent change formula:

[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]

x_1 = initial value

x_2 = final value

[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]

1/4 = 0.25

25 PERCENT INCREASE

it cant be descrase

The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

The preimage of the vertex of a polygon is, (5, 2).

Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).

Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).

We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).

Therefore, The vertex of the polygon will be at (- 4, 8).

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Answer: Die with memories, not dreams. – Unknown

Step-by-step explanation:  Go make some good memories! Be yourself

Answer:

9 pounds

Step-by-step explanation:

100% - 10% = 90%

90% -> .9

[Solving] 10 * .9 = 9

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

9 pounds

Step-by-step explanation:

10% of 10 pounds is 1 pound so baby Todd's current weight is 9 pounds.

Answer:

the answer is x=107° you're welcome

[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]

ok done. Thank to me :>

Answer:

five point zero three five

Answer:

Step-by-step explanation:

ang mga gan yan Hindi ko alam Kase may mudule din ako bb

Answer:

3

Step-by-step explanation:

We have to divide 2 1/4 by 3/4

First convert 2 1/4 to an improper fraction

2 1/4 = (2*4 + 1)/4 = 9/4

Divide 9/4 by 3/4

(9/4)/(3/4)

The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3

Now cancel the common factor 3, which gives 3

The required value of 2 1/4 divided by 3/4 is 3

Answer:

Step-by-step explanation:

Use KCF method

Keep the first

Change division to multiplication

Flip the second

[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]

9/4 ÷ 3/4

[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]

We know x = 4 + y  (1)

So 2x - 3y = 1  

<=> 2.(4 + y) - 3y = 1

<=> 8 + 2y - 3y = 1

<=> 8 - y = 1

<=> y = 8 - 1

<=> y = 7  (2)

move (2) to (1) : x = 7 + 4 = 11

ok done. Thank to me :>

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

Answer:

33074

Step-by-step explanation:

Please give brainliest

Answer:

[tex]2 + 2 + 30 + 40 + 15000 + 18000 = 33074[/tex]

[tex]i \: hope \: it \: is \: helpfull[/tex]

Answer:

Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...

By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:

Hope this helps

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

Answer:

Step-by-step explanation:

Using the slope-intercept form:

In the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.

Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.

y=3(-1)+4 ⇒-1,1 y=1

y=3(0)+4 ⇒0,4 y=4

y=3(1)+4 ⇒ 1, 7 y=7

y=3(2)+4 ⇒ 2, 10 y=10

y=3(3)+4 ⇒ 3, 13 y=13

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

Answer:

Step-by-step explanation:

The graph increasing over the given entire interval: -3 < x < 0.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=2x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

Here, we have,

For the given example: m=2 and b=5.

A function can be classified as:

  increasing - when the values of y increase with the increasing of x-values

  decreasing - when the values of y decrease with the increasing of x-values

The question gives the entire interval where the function increases. Thus, from the graph is possible to see that the function increases when x is between –3 and 0 because the values of y increase with the increasing of x-values.

Hence, The graph increasing over the given entire interval: -3 < x < 0.

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complete question:

This shows a graph.

For which choice is the graph increasing over the entire interval?

0 < x < 2

2 < x < 4

-3 < x < 0

-3 < x < 4

For which choice is the graph increasing over the entire interval?

Answer:

A

Step-by-step explanation:

A number of books and their cost where the subscription with the annual fee costs less. hope it helps and take care ✌

Point S represents the number of books and their cost using the subscription that charges per book

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Based on the given graph, point S represents the number of books and their cost using the subscription that charges per book (Option A).

This is because point S is located below line B, which represents the total cost of the subscription with a variable cost per book, and above line A, which represents the total cost of the subscription with a fixed annual fee.

Therefore,

Point S represents a combination of a certain number of books borrowed and the corresponding total cost of the subscription using the variable cost per book option.

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Step-by-step explanation:

so as ∆BCE is a right angled triangle

angle BEC = 90°

angle CBE = 22° (given)

apply angle sum property of triangle

so according to that

BCE + CBE + ECB = 180

22° + 90° + ECB = 180

102° + ECB = 180

ECB = 180 - 102

ECB = 78°

and also we know, that exterior angle of a triangle is equal to 2 interior angle of triangle,

so ,

x = 78°

hope this answer helps you dear! take care

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.

so,

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 11/sin(58)

x = 11×sin(32)/sin(58) = 6.873562871...

rounded x = 6.9

Answer:

520/400

so y = 520/400 + b

Step-by-step explanation:

Answer:

in the picture

hope this helps! :D

Answer:

Step-by-step explanation:

Answer:  The length of the third side is greater than 4 ft and less than 20 ft.

Step-by-step explanation:  Given that two sides of a triangle have lengths 8 ft and 12 ft.

We are to describe the possible lengths of the third side.

Let x ft be the length of the third side of the triangle.

We know that

the sum of the lengths of any two sides of a triangle is always greater than the third side.

So, we must have

Also,

and

From inequalities (i), (ii) and (iii), we get

Thus, the length of the third side is greater than 4 ft and less than 20 ft.