Find the measure of angle b.

And show work

Answer:

x=53

Step-by-step explanation:

Parallel lines cut by a transversal mean that the alternate interior angles are congruent. Meaning, 115=62+x

115-62 is 53

Answer:

a) x=56º

b= Angle x is on a line. All lines create linear angles, so together all angles that are on that side of the line = 180º. Since the two lines were parallel we know that the two angle measurements next to x are congruent. So 180=62+62+x.

Step-by-step explanation:

180-62-62=56

Step-by-step explanation:

the dimensions could be:

1) the height = 6 cm and the width = 9 cm

or

2) the height = 12 ft and the width = 18 ft

#1

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{4.5}=\dfrac{3(2)}{4.5(2)}=\dfrac{6}{9}[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 1(\dfrac{3}{4.5})=\dfrac{3}{4.5}[/tex]

Answer:

x =51

Step-by-step explanation:

You have to set up an equation according to the info you've been given.

Lets use a variable (x) to represent your unknown number.

  6*x  - 8 = 298  ---- I.

   6x - 8 =298 ----  II. add 8 on both sides

        6x = 306 ---- III. Divide both sides by 6

        x = 51

Answer:

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

Step-by-step explanation:

421 = dividend

27 = divisor

Step 1:

Start by setting it up with the divisor 27 on the left side and the dividend 421 on the right side like this:

 2 7 ⟌ 4 2 1

Step 2:

The divisor (27) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 2 7 ⟌ 4 2 1

Step 3:

Multiply the divisor by the result in the previous step (27 x 0 = 0) and write that answer below the dividend.

       0    

 2 7 ⟌ 4 2 1

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 6:

The divisor (27) goes into the bottom number (42), 1 time(s). Therefore, put 1 on top:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (27 x 1 = 27) and write that answer at the bottom:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

       2 7  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 27 = 15) and write the answer at the bottom.

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5  

Step 9:

Move down the last digit of the dividend (1) like this:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 10:

The divisor (27) goes into the bottom number (151), 5 time(s). Therefore put 5 on top:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 11:

Multiply the divisor by the result in the previous step (27 x 5 = 135) and write the answer at the bottom:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

       1 3 5

Step 12:

Subtract the result in the previous step from the number written above it. (151 - 135 = 16) and write the answer at the bottom.

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

     - 1 3 5

         1 6

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

More Information

If you enter 421 divided by 27 into a calculator, you will get:

15.5926

I belive its B i may be wrong, combine like terms is definitly first so A or B

Answer:

the answer is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

I dont know l

Answer:

40°&50°

Step-by-step explanation:

simple

very nice questions

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

Explanation:

We multiply the hourly wage by the number of hours worked to get the total amount earned.

(7.25)*(40) = 290

This is before taxes are applied. So we consider it the gross earnings (as opposed to the net earnings).

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }[/tex]

Method used :-

__________________

[tex] \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }[/tex]

Method used :-

__________________

[tex] \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}[/tex]

Method used :-

__________________

[tex] \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}[/tex]

Method used :-

__________________

[tex] \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }[/tex]

Method used :-

__________________

[tex] \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }[/tex]

Method used :-

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

c is the answer pi/9

Step-by-step explanation:so we have from 1 to 6.28

so 3.14 is there

3 is there

pi/9 is about 1/3 or less than 1 so not in between

pi squared/9 is about 9.something/9 so more than 1 over 1 and in between

Answer:

[tex]y=\frac{1}{2}x -3[/tex]

Step-by-step explanation:

The 'rise' is 1 and the 'run' is 2, so the slope is 1/2.

The graph is shifted down 3 (the y-int is (-3)

Answer:

125

Step-by-step explanation:

First, solve the exponent:

5^2 = 5x5 = 25

Then solve the rest:

5x25-125

Answer:

125

Step-by-step explanation:

We need to follow PEMDAS (or BODMAS):

This says that we need to do exponents first, so we'll do the square root of 5, giving us 25.

After this we will multiply 5 by 25, giving us the answer of 125.

*The key point in this problem is using PEMDAS (or BODMAS) correctly.

Step-by-step explanation:

total angle, < BCD = 42°+41° = 83°.

Hope this helps you.

Answer:

BCD = 83

Step-by-step explanation:

We can use the angle sum addition

BCD = BCE + ECD

BCD = 42+41

BCD = 83

Answer:

x=15

Step-by-step explanation:

2x+1+4x+19=8x-10

2x+4x-8x=-10-19-1

6x-8x=-30

-2x=-30

[tex]2x = 30[/tex]

x=15

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

Answer:

The answer is definetly 245

Answer:

B

Step-by-step explanation:

Not sure if this correct but hope it helps

Answer:

C

Step-by-step explanation:

Exterior angle property: Exterior angle equal the sum of opposite interior angles.

3x + 7 + 4x + 16 = 100  

3x + 4x + 7 + 16 = 100   {Combine like terms}

7x + 23 = 100     {Subtract 23 from both sides}

7x        = 100 - 23

        7x = 77   {Divide both sides by 7}

         x = 77/7

x = 11

∠B = 3x + 7 = 3*11 + 7

     = 33 + 7

     = 40°

Answer:

Step-by-step explanation:

Solve by ratios:

x = 20.5*12.8/4.7 ≈ 55.83 ft

Answer:

p = -5

Step-by-step explanation:

6(6p + 5) = -150

/6                  /6

6p + 5 = -25

-5             -5

6p = -30

/6      /6

p = -5

The ratio of cups of water to cups of flour will make the same recipe are :

8:27, 12 :36, 16:45, 20 : 54, 24 : 63, 28 : 72

Ratio is use to show the frequency with which one number is contained in another number. For example, if for every  boy there are five girls. This information can be expressed as 1 : 5.

The ratio of cups of water to flour is 4 : 9. The ratios that would yield the same recipe are ratios that are multiples of 4 and 9

Multiples of 4 = 4. 8, 12, 16, 20, 24, 28, 32, 36, 40.

Multiples of 9 = 9, 27, 36, 45, 54, 63, 72, 81, 90.

Pairs of ratios equivalent to 4:9 = 8:27, 12 :36, 16:45, 20 : 54, 24 : 63, 28 : 72,

To learn more about ratios, please check: https://brainly.com/question/17995727?referrer=searchResults

Answer:

Step-by-step explanation:

The number is 1/2, and 1/2 squared is 1/4.

Answer:

answer below

Step-by-step explanation:

5x⁴: degree even (4),  leading coefficient +5, rise to left and rise to right

x -> -∞   y -> ∞

x -> ∞    y -> ∞

Answer:

Proportional

Step-by-step explanation:

The line is going straight up, this means while x- intercept increase y- intercept also increases making it proportional.