How to do it? Show how to do it

Answer:

8 units

Step-by-step explanation:

x + 2 = 2x

2 = 2x - x

x = 2

uW = 2(2+2) = 8

Answer:

VW = 4

Step-by-step explanation:

Since V is the midpoint of line UW, we can say that the measure of UV is equal to VW (see def. of midpoint). Thus, we can generate the equation using the statements provided, leading us to this equation: x+2 = 2x. We can then subtract x on both sides, leading us to 2 = x, or x = 2.

We were given that VW = 2x, thus the measure of VW is equal to 2(2) or 4.

(BONUS: since we know that VW ≅ UV, then the measure of UV is also equal to 4, which when applied to the formula for UV (x+2) we get the equation for UV, x+2=4. This is a way to prove that x=2, as 2+2=4. We can also use this knowledge to find the total length of this line segment, which would be 8, as 4+4=8)

Given that sec(x) = 10/9 and that 270° < x < 360°, we want to complete:

We will find that x = 334.16°

The solutions are:

Remember that sec(x) = 1/cos(x)

Then:

sec(x) = 10/9 = 1/cos(x)

so we can write:

cos(x) = 9/10

If we apply the inverse cosine function, we get:

Acos(cos(x)) = Acos(9/10)

x = 25.84°

But this is not in the wanted interval, because the cosine function is even, we have that:

cos(25.84°) = cos( -25.84°)

And it has a periodicity of 360°, then:

cos(-25.84°) = cos(-25.84° + 360°)  = cos(334.16°)

Then our angle is x = 334.16°.

Now we replace that in the wanted expressions:

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Answer:

this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2

b^2 = 512, so b = sqrt(512) = 22.6

Answer:

x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]

Step-by-step explanation:

Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.  

Equation 1:   3y - 6x = 7

Equation 2:  -4y - 3x = 9          

(-2)(-4y - 3x) = 9 (-2)

8y + 6x = -18

  8y + 6x = -18

+ 3y - 6x = 7

11y = -11

[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]

y = -1

-4(-1) - 3x = 9      

    4 - 3x = 9

    4 - 4 - 3x = 9 - 4

   - 3x = 5

[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]

[tex]x = - \frac{5}{3}[/tex]

Verify whether the values for x and y are correct by substituting their values into both equations:

x = -5/3, y = -1

Equation 1:   3y - 6x = 7

[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]  

-3 + 10 = 7

7 = 7 (True statement).

Equation 2:  -4y - 3x = 9          

-4(-1) - 3 (-5/3)  = 9          

[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]

4 + 5 = 9

9 = 9  (True statement).

Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.  

Answer:

x²+9x+18

Step-by-step explanation:

Answer:

X=33

Step-by-step explanation:

Hope this helps!!!

A population of 32,000 with a 5% annual growth rate would be modeled by the equation:

y=32000(1.05)t

with t in years.

Step-by-step explanation:

x varies directly with y,

x = ky

When x = 3 and y = 27 ,

3 = k*27

k = 3/27 = 1/9

Follow the steps mentioned below to write 0.63 as a fraction.

Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.

Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102

Step 3: Express the fraction in simplified form.

So, 0.63 as a fraction is,

0.63 = 63/100

Answer:

She attempt 1,000 free throws

Step-by-step explanation:

X • 0.2 = 200

X = 200/0.2

X = 1,000

Answer:

About $3600

Step-by-step explanation:

10 x 12 =120 square feet - area of the first room

$400 / 120 =$3.33 - cost of carpet per square foot.

36 x 30 = 1080 square feet - the area of the second room

1080 x $3.33 = (about) $3600 cost of carpeting the second room.

Answer:

(3)

Distance the train can travel=252km

Distance the train can travel in 1 hour=252÷42=6km

The time needed to cover 350km= 350÷6=58.4 hours.

(4)

The cost of 1 articles=$1.95

The cost of 15 articles= 15(1.95)=$29.25

(5)

Cost of 25 articles= 43.75

Cost of 1 article= 43.75/25=1.75

(6)

Liters of petrol needed when a car travels 240km=20litre

liters of petrol needed when a car travels 600km= 20/240 x600

20/24x60

20/4x10

5x10=50liter

Answer:

1 Gallon per 6 days

Step-by-step explanation:

1/2 *2 = 1

3*2 =6

Answer:

1/6 Gallons of Milk per Day

Step-by-step explanation:

1/2 / 3 = 1/6

Answer:

2,300

Step-by-step explanation:

the number in the tens digit is less than 5 so the 3 in the hundreds place does not round up.

Answer:

I dont know

Step-by-step explanation:

9514 1404 393

Answer:

  6.  A

  7.  80°

  8.  20°

Step-by-step explanation:

It is helpful to read the question and identify the particular parts of the diagram it is asking about.

The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.

These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)

The only answer choice referencing SAS is the first one, choice A.

__

Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.

Angle TRM is congruent to angle MPT, so is 80°.

__

With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:

  ∠MQT = ∠NMQ + ∠QNM

  95° = 75° + ∠QNM

  20° = ∠QNM

From problem 6, we know that angle N is congruent to angle S, so, ...

  ∠TSR = ∠QNM = 20°

Answer:

Step-by-step explanation:

choose a number for example 20

20-5=15

15x2=30

Answer:

200 apple yet to go byhfhhf

Answer: 2.15

Step-by-step explanation:

2 stands for the hours and 15 stands for the minutes.

Step-by-step explanation:

the function is

x² - 10x + 9

the x value for the axis of symmetry of a quadratic equation is

ax² + bx + c

x = -b/(2a)

in our case

a = 1

b = -10

x = - -10/2 = 10/2 = 5

x=5 is the axis of symmetry.

for the vertex we need also the y :

y = 5² - 10×5 + 9 = 25 - 50 + 9 = -16

the vertex is

(5, -16)

Answer:

it’s c

Step-by-step explanation:

Answers:

A. -11÷4

B. 11 ÷ (-4)

D. -11/4

E. 11/-4

Reasoning:

      In a fraction, it doesnt matter where the negative is. Since we have a single negative sign, our answer must also have a single negative. (2 negative signs will cancel each other out.)

Answer:

x = 7

Step-by-step explanation:

These angles are corresponding angles which mean that they're equal to each other:

7x - 4 = 5x + 10

7x - 5x = 10 + 4

2x = 14

x = 14/2

x = 7

Answer:

x = 2

Step-by-step explanation:

These are known as alternate exterior angles. These types of angles are equal to each other.

[tex]8x-7=2x+5\\6x-7=5\\6x=12\\x=2[/tex]

Answer:

Step-by-step explanation:

The up sloping line rises one unit for every one unit increase of x

m = Δy/Δx = 1/1 = 1

Its y intercept is (0, 5)

y = mx + b

y = 1x + 5

y = x + 5

The down sloping line drops six units for every four unit increase of x

m = Δy/Δx = -6/4 = -1.5

Its y intercept is (0, -5)

y = mx + b

y = -1.5x + (-5)

y = -1.5x - 5

we can verify the common intersection point by entering x = -4 into each equation

y = -4 + 5

y = 1

y = -1.5(-4) - 5

y = 6 - 5

y = 1

Answer: C

sajnjfsabfyavfbysa

Answer:

the third answer is correct

Step-by-step explanation:

the starting point is 2 and it goes up by 3

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]

Nope! -23 is not greater than 1.5. Let's try the last one.

[tex]14-9<-1.5?\\5<-1.5?[/tex]

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

−d−9<1.5 inequality is true when the value of d is 14.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

We have to check the inequality which is true for d when it is 14.

−d−9>−1.5

-14-9>-1.5

-23>-1.5

The first option is false.

−d−9<1.5

-23<-1.5

So the inequality −d−9<1.5 is true for d=14.

−d−9>1.5

-23>1.5

The inequality is false.

d−9<−1.5

14-9<-1.5

5<-1.5

The inequality is false.

Hence, −d−9<1.5 inequality is true when the value of d is 14.

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The probability that Ethan does NOT have computer science homework is 0.3

From the information given:

However, in probability, the sum of all event outcomes is always equal to 1.

∴

[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]

where;

Thus;

[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]

[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]

[tex]\mathbf{ P(A^c) =0.3}[/tex]

Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3

Learn more about probability here:

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