Which choice is equivalent to the expression below? ​

We want to find the measure of x given that we know that m and n are congruent.

The measure of x is 116°.

Two angles are congruent if they have the same measure.

Then we have ∠n = ∠m

We also know that the sum of all interior angles of a triangle is equal to 180°, then if we look at the smaller triangle we have that:

114° + ∠n + ∠m = 180°

∠n + ∠m = 180° - 114° = 66°

Knowing that these measures are equal we can write:

2*∠m = 66°

∠m = 66°/2 = 33°

Now that we know the measure of m, we can do the same thing for the larger triangle:

∠x + ∠m + 31° = 180°

∠x + 33° + 31° = 180°

∠x = 180° - 64° = 116°

The measure of x is 116°.

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Applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: [tex]\mathbf{x = 64^{\circ}}[/tex]

Recall:

Sum of triangles = 180 degrees

Exterior angle = sum of two interior opposite angles

Since we know that angles m and n are congruent, therefore:

[tex]m = \frac{1}{2} (180 - m \angle RTU)[/tex]

[tex]m = \frac{1}{2} (180 - 114)\\\\\mathbf{m = 33^{\circ}}[/tex]

Find x (exterior angle of triangle SUV):

[tex]x = 31 + m[/tex] (exterior angle of a triangle theorem)

[tex]x = 31 + 33\\\\\mathbf{x = 64^{\circ}}[/tex]

Therefore, applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: [tex]\mathbf{x = 64^{\circ}}[/tex]

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9514 1404 393

Answer:

  17

Step-by-step explanation:

The two base angles are congruent, so we have ...

  x +17 = 4x -34

  51 = 3x . . . . . . . add 34-x

  17 = x . . . . . . . . .divide by 3

Answer:

[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]

Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.

Answer:

x = 2

Step-by-step explanation:

B(x) = - 1 means what is the value of x for y = - 1

This is the dot positioned at (2, - 1 )

with x = 2

Answer: its the first one

Step-by-step explanation:

hope thats what your lookinf for

Answer:

4 ways

Step-by-step explanation:

3+4+5+6+7+8+9+10=52

1/4×52=13

13×3=39

3+10=13

4+9=13

5+8=13

6+7=13

so there are 4 ways to divide in two parts.

1.

A={3,10}

B={4,5,6,7,8,9}

2.

A={4,9}

B={3,5,6,7,8,10}

3.

A={5,8}

B={3,4,6,7,9,10}

4.

A={6,7}

B={3,4,5,8,9,10}

Answer:

1/2

Step-by-step explanation:

1/4 (4x - 8) + 3x =0

distribute the 1/4

x-2+3x=0

combine like terms

-2+4x=0

move -2 to the other side [by ADDing +2 to each side

4x=2

divide [by 4 on both sides]

x=1/2

Answer: x = -10 or 2

Step-by-step explanation:

Given:

√20 - 8x = x

Step 1: Square √20 - 8x

(√20 - 8x)² = (x)²

20 - 8x = x²

Now we can solve the problem

Step 2: Move 20 - 8x to the other side

20 - 8x = x²

-20 + 8x   - 20 + 8x

0 = x² + 8x - 20

This is a quadratic equation

Step 3: Factor the quadratic equation

10(-2) = -20 and 10 - 2 = 8

So our factors are 10 and -2

(x + 10)(x - 2) = 0

Step 4: Create a FOIL equation

For this equation to be true, x would have to make either one of the parenthysis equal to zero

(x + 10)(x - 2)

x = -10 x = 2

10 - 10 equals zero, and -2 + 2 equals zero, so those are your answers.

Answer:

4

Step-by-step explanation:

4 1/2 - 1/2

4

You start with 4 + 1/2 but you subtract 1/2 so it just cancel's itself out leaving you with 4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)

Answer:

[tex]3 \frac{7}{12}[/tex]

Step-by-step explanation:

1 - multiply the 1/2 out to make the denominators the same (Ignore the 4 for now)

To make 2 equal 12 you multiply by 6 and what you do to the bottom you do to the top.

[tex]\frac{1}{2}(\frac{6}{6}) = \frac{6}{12}[/tex]

2 - Now solve

Now we need to know what 4 1/12 - 6/12 equals.

1-6 is -5 so we will take out of the whole number to continue this subtraction

3 12/12 - 5/12

After subtracting that out we're left with

3 7/12

Hope this helps :)

Answer:

100000

Step-by-step explanation:

 The given expression is;

       Log x = 5

Find x;

 Solution:

The log is to the base of 10;

   Log₁₀x  = 5

     if Logₓ t  = n;

                 t = xₙ

So;

      Log₁₀x  = 5

               x  = 10⁵

               x  = 100000

Answer:

Step-by-step explanation:

7x - 42 + 5x =  180  {linear pair}

7x + 5x - 42 = 180              {Combine like terms}

      12x - 42 =180

             12x = 180 + 42

            12x = 222

             x = 222/12

x = 18.5

5x = 5*18.5 = 92.5

7x - 42 = 7*18.5 - 42  = 129.5 - 42 = 87.5

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Answer:

2

Step-by-step explanation:

2^2=4

-7*4=-28

okay so

-x

solutions 0,0 and 6,0

put that on the x axis

Answer:

B. The population has increased by 105% each year since 1980.

D. Each year since 1980, the population is 105% of the population of the previous year.

E. Each year since 1980, the population is 1.05 times the population of the previous year.

Step-by-step explanation:

From the question, we are given the exponential function:

The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.

Exponential growth rate =

P(t) = P(1 + r)^t

Where r = growth rate in percentage

P(t) = Size of the population after t years

t = time in years

Hence,

From the formula above, we can say =

1 + r = 1.05

r = 1.05 - 1

r = 0.05

Converting to percentage = 0.05 × 100 = 5%

1.05 can also converted to percentage and this = 1.05 × 100 = 105 %

The population has increased by 105% each year since 1980.

Hence, Options, B, D and E is correct

Answer:

40/90 is 0.4(it goes on for ever)

Step-by-step explanation:

What is the product of multiplying: The product is the result or answer of multiplying the multiplicand by the multiplier.

What is the product of Adding: Definition of addition product : a product formed by chemical addition

What is the product of Subtracting: Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. The result of a subtraction is called a difference.

Hope this helps

Answer:

true

Step-by-step explanation:

Answer:

0.4 is 40 percent of something because 100 percent is 1 x something. On the other hand, 0.12 is 12 percent of something because 0.12 x something will get you 12 percent of the value. Therefore, 0.4 is 40 percent of a thing while 0.12 is 12 percent of a thing and 0.4 is bigger than 0.12

Step-by-step explanation:

Answer:

0.4 is 40 percent of a thing while 0.12 is 12 percent of a thing and 0.4 is bigger than 0.12

Step-by-step explanation:

0.4 is 40 percent of something because 100 percent is 1 x something. On the other hand, 0.12 is 12 percent of something because 0.12 x something will get you 12 percent of the value.

Answer:

I put 9y=6x

Step-by-step explanation:

I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .

Answer:

70kg

Step-by-step explanation:

s = small bag

b = big bag

Equations

s + b = 95

s + 45 = b

plug in

s + s + 45 = 95

2s + 45 = 95

2s = 50

s = 25

plug in to find big bag

25 + 45 = b

70 = b

Answer:

The weight of the pebbles in the large bag is 70kg.

Step-by-step explanation:

This looks like a substitution algebra problem. To do this, I’m going to mark the large bag with (L) and the small bag with the variable, (s). I will make first 2 equations to show the value. The first equation would be L=45+s. The second equation would be 95=L+s. Since L is literally 45+s, add this into the 2nd equation. This would be 95=45+s+s. You should have 95= 45+2s and you would subtract 45 from both sides then. Finally, divide 2s by 2 to get what the small bag weighs, (which is 25kg). To find the large bag’s weight, use the first equation to find the answer. L= 45+s or 25. The answer would bring us to 70 kg.

Answer:

10

Step-by-step explanation:

x-√2x-5=5

-√2x-5=5-x

√2x-5=-5+x

2x-5=x²-10x+25

2x-5-x²+10x-25=0

12x-20-x²=0

-x²+12x-20=0

x²-12x+20=0

x=10

Note: there is a another answer x=2 but the equality will be false if x=2 so the answer is 10

Answer:

[tex]x=155[/tex]

Step-by-step explanation:

According to the definition of a linear pair:

[tex](x-25)+(50)=180[/tex]

Solve for [tex]x[/tex].

Combine like terms on the left:

[tex]x+25=180[/tex]

Subtract 25 from both sides:

[tex]x=155[/tex]

Hence, the value of [tex]x[/tex] is 155.

Answer:

x=155, the angle is 130 degrees

Step-by-step explanation:

Assuming you want to find x:

A straight line is 180 degrees so that means

x-25+50=180 add like terms together

x+25=180 subtract 25 from both sides

x=155

If you want to find the degree angle, just replace x with 155

x-25=155+25=130

Also if you want to know, yes I edited my answer as I couldn't tell if that was a + or a - in the picture. Have a nice day and happy thanksgiving!

Answer:

Step-by-step explanation:

350-105.20= 244.80 is still needed

I don't have the statements so...

244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.

Answer:

Step-by-step explanation:

18x + 105.2 ≥ 350

18x ≥ 244.8

x ≥ 13.6

She has to save at least $13.6 per week.

Answer:

shut up b

sorry gad will elp you

Step-by-step explanation:

Answer:

x = -1/7

Step-by-step explanation:

25x - 15x = x - 1

combine like terms

7x = -1

divide

x = -1/7

Answer:

x = -1/7 (the whole fraction is negative)

Step-by-step explanation:

23x−15x=x−1

8x = x - 1

8x - x = x - 1 - x

7x = -1

x = -1/7

Answer:

W > -5

Step-by-step explanation:

5×(-1) < 5W + 20

-5 < 5W + 20

-25 < 5W

-5 < W

W > -5