A and B are complementary angles. If mA = (2x + 30)° and mB = (7x – 3), then find the measure of B.

Answers

Answer 1

Answer:

mB=46

Step-by-step explanation:

2x+30+7x-3=90

Combine like terms

9x+27=90

Subtract by 27 on both sides

9x=63

Divide by 9 on both sides

x=7

mB=(7x-3)

Substitute 7 for x

mB= 7(7)-3

mB= 49-3

mB=46

Answer 2

Answer:

The measure of B is 46°

Step-by-step explanation:

To solve this equation, you need to add the two equations, and set them equal to 90° since they are complementary angles

2x+30+7x-3=90

You also need to add like terms, so 2x+7x and 30+-3, or 30-3

9x+27=90

Then you need to isolate the variable by subtracting 27 from both sides

9x+27-27=90-27

=

9x=63

Then you need to divide both sides by 9 to get x=7

Since we know what x is, we plug x into the equation (7x-3) and we will now have 7(7)-3.

To solve this, we multiply 7 and 7, and subtract 3 to get 46.

So the answer is mB=46

I hope this helps!!

   


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Step-by-step explanation: 11x3-1=32, 32+11=43

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Answer:

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Answers

Answer:

x:5

Step-by-step explanation:

The value of 'x' in the solution set is 5 Option D

How to determine the value of x

From the equation

8x -6 > 12 + 2x

Collect like terms

8x - 2x >  12 + 6

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Make 'x' subject of formula

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Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

-4.9

Step-by-step explanation:

The answer is -4.9 because:

1) As the number line increases, the numbers are also increasing even though  it seems like they are decreasing.

2) The number that comes right after -5 is -4.9

Hope this helps! :D

The number of pages that Armando, Billy, Robert, and Joel can read in a day is shown below.
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b Joel
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Answers

B Joel hope this helps

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Answers

V = -8

Explanation:

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Answers


3.18 is the answer i believe !

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

[tex] \red { \orange {\boxed {\boxed{Answers}}}}[/tex]

[tex] = (x + 5)(x + 4)[/tex]

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[tex] = {x}^{2} + 9x + 20[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answers

Answer:

$22

Step-by-step explanation:

Hi here is the explanation

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Now let’s see we did it right

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Step-by-step explanation:

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Answers

Answer:

(x-14)^2+(y-3)^2=9

Step-by-step explanation:

equation of a circle is (x-h)^2+(y-h)^2=r^2

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(x-14)^2+(y-3)^2=9 answer

The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The standard formula for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the centre

r is the radius

Given the center at (14, 3)

If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the centre into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

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Answers

The y intercept is where the function intersects the y-axis.

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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t ≤ 4

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4000ft.

Step-by-step explanation:

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O metaphor
O symbolism
O personification
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Answer:

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Answers

Answer:

The answer is 0.2

Step-by-step explanation:

=1/5

=1 Divided by 5

=0.2

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The difference of two integers is 1. The product of the integers is 30. What
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Answers

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

First integer be x .Second integer be y .

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

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[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

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Answers

Answer:

x

__

140

Step-by-step explanation:

all i could get sorry

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How many squares should he use for the sixth stage?​

Answers

Answer:

21 squares

Step-by-step explanation:

1 = 1

2 = 3

3 = 6

The pattern follows squares use in the previous stage + new stage = squares use the new stage

Squares used in stage 2 = Squares used in stage 1 + stage 2

= 1 + 2

= 3 squares

Squares used in stage 3 = Squares used in stage 2 + stage 3

= 3 + 3

= 6 squares

Squares used in stage 4 = Squares used in stage 3 + stage 4

= 6 + 4

= 10 squares

Squares used in stage 5 = Squares used in stage 4 + stage 5

= 10 + 5

= 15 squares

Squares used in stage 6 = Squares used in stage 5 + stage 6

= 15 + 6

= 21 squares

4 = 10

5 = 15

6 = 21

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