MATHEMATICS MIDDLE SCHOOL

I forgot the pic, but somebody help me

Answers

Answer 1

Answer:

Answer:

1) The value of x is:

2) The degree for angle 1 is: 59°

3) The degree for Angle 2 is: 121°

Step-by-step explanation:

First we must find x, to do that we must find out what we are given:

m<1 = (2x + 23)°

m<2 = (7x - 5)°

Now we must see if there is any info that can help us find the angles:

Angle 1 and 2 are supplementary.

The word 'supplementary' is very important as it can help us evalute how to set up our problem.

Supplementary means the sum of 2 angles that create a 180°

So our measures will = 180°

(2x + 23) + (7x - 5) = 180°

Now we must try and find the value of x:

1) Remove the parenthesis, and combine like terms:

2x + 7x + 23 - 5 = 180°

9x + 18° = 180°

- 18° = -18°

---------------------

9x = 162°

2) Divide both sides by 2 in order to get 'x' value by itself:

$(9x)/(9)=(162)/(9)$

$x=18$

Your value of x is 18.

Now you must substitue the value of x into you measures, to get your angles:

(2x + 23)°

2(18) + 23

36 + 23

= 59°

(7x - 5)°

7(18) - 5

126 - 5

= 121°

Is this statement true? Let's find out!

121° + 59° = ?

= 180°

It is true.

Answer 2

Answer: angle 1 is 59 and angle 2 is 121

Related Questions

What is the mean of this set of numbers? 82 , 79 , 72 , 72 , 81 , 77 , 69 Show your work (Round to the nearest tenth).
What is the area of a triangle whose side is 17 meters long
What times what equals 78 and what times what equals 125 please explain !!!
The regular price of a space invader game is $52 but it’s on sale. The discount is $13. What percentage discount is this ?
How do I solve the proportion x+1/3 = x+5/x

A man buys a book for $20 and wishes to sell it. What price should he mark on it if he wishes for a 40% discount and 50% profit on the cost price. Please explain your answer!

Answers

With that particular larcenous scheme in mind, he will price the book
regulaly at $50 .   See the price-tag in the attached picture.

With a regular price of $50 written all over it, he can run a spectacular,
once-in-a-blue-moon, "40%-off" sale.

   40% of $50 = 0.4 x $50 = $20 off

   $20 off of $50 ===> Sale price = $30 is what the buyer will pay
during the spectacular sale.

Then, the sale price of $30 is (30/20) = 1.50 of his own original cost.

1.50 of his own cost means 0.50 = 50% more than he paid for it.

How do I turn -6.3 into a fraction?

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-6.3 into a fraction is -6 and 3/10. its a mixed number!

The square of the sum of two numbers is 144 and the sum of their square is 180, find the numbers

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Answer:

x = 13.35, y = - 1.35

or, x = 1.35, y = - 13.35

or, x = - 13.35, y = 1.35

Step-by-step explanation:

Let us assume that x and y are the two numbers.

So, given that (x + y)² = 144

⇒ x² + 2xy + y² = 144 ........ (1)

⇒ x + y = ± 12 ......... (2)

Again, x² + y² = 180 ........... (3)

Now, from equations (1) and (3) we can write 2xy + 180 = 144

⇒ 2xy = - 36

⇒ xy = - 18 ........ (4)

Now, for x + y = 12

⇒ $x - (18)/(x) = 12$

⇒ x² - 18 = 12x

⇒ x² - 12x - 18 = 0

Using the quadratic formula

$x = \frac{12 \pm \sqrt{(-12)^(2) - 4(1)(-18) } }{2}$

⇒ $x = (12 \pm 14.7)/(2) = 13.35, 1.35$

Now, for x = 13.35, from equation (4) we get, y = - 1.35

And for x = 1.35, from equation (4) we get, y = - 13.35

Now, for x + y = - 12

⇒ x² + 12x - 18 = 0

Using the quadratic formula,

$x = \frac{- 12 \pm \sqrt{12^(2) - 4(1)(-18)}}{2}$

⇒ $x = (- 12 \pm 14.7)/(2) = 1.34, -13.35$

Now, for x = - 13.35, from equation (4) we get, y = 1.35

And for x = 1.35, from equation (4) we get, y = - 13.35

Therefore, x = 13.35, y = - 1.35

or, x = 1.35, y = - 13.35

or, x = - 13.35, y = 1.35 (Answer)

How do you solve number 13 and 14?

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this is what I got hope u get it right gl

What is 5 5/6 + 5 4/5 and show the work.

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5 5/6 + 5 4/5
Least common multiple of 6 and 5 is 30
5 5x5/6x5 + 5 4x6/5x6 =
5 25/30 + 5 24/30 =
10 49/30 =
10 + 1 13/30 =
11 13/30
Therefore, the answer is 11 19/30

answer: 11 19/30

Answer:

I agree with the answer above mine

Step-by-step explanation:

Which of the following are examples of exponential decay? - The population of a Florida is increasing by 43% each year.
- The pesticide DDT has a half-life of 15 years.
- March Madness has 64 teams in the bracket. Each round, half the teams are eliminated.
- After an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours.
- A tree frog population doubles every three weeks.

Answers

The correct answer for the question that is being presented above is this one: "- The pesticide DDT has a half-life of 15 years; - March Madness has 64 teams in the bracket. Each round, half the teams are eliminated; - After an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours."

Answer: the correct ones are

B “ The pesticide DDT has a half live of 15 years”

C “March madness has 64 teams in the bracket. Each round, half the teams are eliminated” and

D “After an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours”