angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answers

Answer 1

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡


Related Questions

Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. which measurement is in pounds, and which is in kilograms? ​

Answers

Answer:

38= kilo 84= pounds

Step-by-step explanation:

what’s the slope of y=x+5

Answers

I dont think there is a way to find out the slope bc there is no x intercept

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

The number of feet in an unknown
number of yards. Let b = the variable.
Algebraic expression:

Answers

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

How would you write 5 times a number Y?

Answers

Answer:

If you mean multiply I think

5y

Step-by-step explanation:

Marsha deposited ​$5,500 into a savings account 5 years ago. The simple interest rate is ​3%. How much money did earn in​ interest?
Substitute the values into the equation.
Interest​ : $_ x _ x _%

Answers

Answer:

5,500 × 30%

Step-by-step explanation:

165.00 in intrest

[tex]\sf -4(-4x-5)[/tex]

Answers

Answer:

[tex] - 4( - 4x - 5) = - 4 \times - 4x - ( - 4) \times ( - 5) \\ = 16x - 20[/tex]

Answer:

[tex]16x+20[/tex]

Step-by-step explanation:

[tex]-4(-4x-5)[/tex]

[tex]\mathrm{Multiply\:}-4\mathrm{\:to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-4(-4x-5)[/tex]

[tex]-4\cdot-4=16[/tex]

[tex]-4\cdot-5=20[/tex]

[tex]=16x+20[/tex]

What is the solution to the inequality

Answers

Answer:

Search Results

Featured snippet from the web

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.

Step-by-step explanation:

Chef Ira has 613 pies he wants to sell at his restaurant. Each slice is 16 pie and costs $1.50. Chef Ira sells all the remaining slices of pie.


How much money will he earn?


A. $9.00

B. $9.50

C. $38.00

D. $57.00

Answers

D is the answer see picture attached

hello, please answer
if
[tex] \frac{a}{b} = \frac{c}{d} = \frac{2}{5} [/tex]
then what is the answer of
[tex] \frac{a + 3c + 4}{b + 3d + 10} [/tex]

Answers

Step-by-step explanation:

Given,

a/b = c/d = 2/5

=> a + 3c + 4/b + 3d + 10

=> (a/b) + (3c/3d) + (4/10)

=> 2/5 + 3(c/d) + 4/10

=> 2/5 + 3(2/5) + 4/10

=> 2/5 + 6/5 + 2/5

=> 2 + 6 + 2/5

=> 10/5

=> 2

A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?

Answers

Answer: the 4 quart is a better buy

Step-by-step explanation:

Find the value of x and the indicated angles.

Answers

Answer:

x = 33Indicated angles: 126°

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

4(33) - 62(33) + 60

Let's solve 4(33) - 6 first.

4(33) - 6132 - 6126

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

2(33) + 6066 + 60126

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

The equation 5y = 6 represents purchasing 5 tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y = 6?

a
15y = 18
b
5y - 1 = 3
c
5y + 4 = 10
d
5y = 12

Answers

Answer: a 15y=18 and c 5y+4=10

Step-by-step explanation:

A red die is tossed and a green die is tossed.what is the probability that a red die shows an even number or the green die shows an even number? Make sure your answer is reduced

Answers

Answer: 75%

Step-by-step explanation:

Since there are 3 even numbers on each die and 3 odd, each dice has a 50% chance of showing an even number.

An easier way to think about this might be what are the chances that both dice show odd, because that is the only scenario where neither show an even number.

To do this, simply multiply the chances together:

[tex]0.5 * 0.5 = .25[/tex]

Therefore, there is a 25% chance that both die will be odd, meaning there is a 75% chance that one or both of the dice show an even number

sum of 5r and 7, divided by 15

Answers

Answer: 7r/3

Step-by-step explanation:

5r*7/15 = 35r/15 = 7r/3

14x-21y
factorise this equation

Answers

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP

Answers

Answer:

Definitions matched below with vocabulary words

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

→ 3. term

A letter used to represent an unknown number

→ 4. variable

The number in front of a variable in a term

→ 1. coefficient  

A single term, multiple terms connected by an addition or subtraction sign

→ 5. expression

A number, a term containing no variables

→ 2. constant

Plzzzzz helpmeeeee plzzzzzz

Answers

C is your answer in figures. one million and one hundred and ten thousand dollars

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

Q.

[tex] \frac{9}{6} + \frac{6}{9} = [/tex]

#use method
#good luck​

Answers

Answer:

The answer is 13/6

Step-by-step explanation:

9/6 + 6/9

9/6 = 3/2

6/9 = 2/3

Now,

3/2 + 2/3

Cross Multiply

3 × 3 + 2 × 2/2 × 3

9 + 4/6 = 13/6

Thus, The answer is 13/6

-TheUnknownScientist 72

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]

System of equation

Value of b

Answers

[tex]8a + 9b = 12 \\ a + b = \frac{12}{8} \div 9 \\ = - 6[/tex]

Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?

Answers

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

I am on my knees begging for help i will mark brainlist please hear my cries

Part A: Which of the following pairs of coordinates would represent the missing values in the table?

options:

(3, $2560) & (4, $2048)


(3, $640) & (4, $128)


(3, $2560) & (4, $512)


(3, $640) & (4, $512)

Question 6 (4 points)
Part B: Write an equation that can be used to find the value of the piano, v, after t years

Answers

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Helpppppppppp plssssssssss

Answers

Answer:

12 in.

Step-by-step explanation:

We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.

Explain the steps in solving 2.14x-12.18=-576 , and write the solution to the equation.

Answers

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

  x > -1

Step-by-step explanation:

Add 9 to both sides of the inequality.

  -10 +9 < x -9 +9

  -1 < x

In the form of the answers, ...

  x > -1

The solution for the given inequality is x > -1. The correct option is the last option x > -1

Linear inequalities

From the question, we are to determine the solution for the given inequality

The given inequality is -10 < x - 9

To solve an inequality, we will solve for the variable. The variable here is x

The inequality can be solved as follows

-10 < x - 9

Add 9 to both sides

-10 +9 < x - 9 + 9

Simplifying

-1 < x

Now, if -1 < x

Then,

x > -1

Hence, the solution for the given inequality is x > -1. The correct option is the last option x > -1

Learn more on solving Linear inequalities here: https://brainly.com/question/246993

(8y²)(-3x²y²)(2/3xy⁴)

HELP PLEASEEEEEEEE

Answers

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

The ratio of the measures of the three angles of a triangle is 6:9: 10.
Find the angle measures.

Answers

Answer:

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

Step-by-step explanation:

Sum of interior angles of triangle is [tex]180^0[/tex]

The ratio of the measures of the three angles of a triangle is [tex]6:9: 10[/tex]

Hence the angles can be [tex]6x,9x,10x[/tex]

We have

[tex]6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0[/tex]

Angles are [tex]43.2^0,64.8^0,72^0[/tex]

Question 16

What is the shortest distance between the line y = 2x+4 and the point at (0.0)? Round to the nearest tenth.


O A) 1.8

O B) 2.0

O C) 3.2

O D) 4.0

Answers

the answer is 1.78 but rounded to the nearest tenth would be 1.8 which would be A.
hope this helps!

The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The equation of the line is:

y = 2x + 4

Or

2x - y + 4 = 0

The point is (0, 0)

As we know, the formula for the shortest distance between the line and a point:

D = |ax + bx + c|/√(a²+b²)

Plug x = 0 and y = 0

a = 2, b = -1, and c = 4

D = |2(0) + -1(0) + 4|/√(2²+(-1)²)

D = 4/√5

D = 1,78 ≈ 1.8 units

Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

Plz help brainiest to the correct answer!

Answers

Here’s the answer to your questions.

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

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