Find the size of unknown angles ​

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

Answer:

x=4

Step-by-step explanation:

distribute the 5: 10x-5=35

add 5 to both sides: 10x=40

divide both sides by 10: x=4

We must see which thing would make the conditional statement a false statement. We will see that the correct option is:

"You go to the gym for an hour a week and lose 7 pounds in a month"

So we start with the conditional statement:

"If you go to the gym for an hour a week, then you will lose at least 10 pounds in a month"

Remember that the general conditional statement is:

Where P is the hypothesis and Q is the conclusion.

The conditional statement is false if:

P is true and Q false.

So the given statement is only false if you meet the hypothesis (you go to the gym for an hour a week) but not the conclusion (you lose less than 10 pounds in a month).

With that in mind, the correct option is the third one, the only one where you lose less than 10 pounds in a month.

"You go to the gym for an hour a week and lose 7 pounds in a month"

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Answer:

4) a₁₅ = 128

5) B. [tex]a_n=a_{n-1}+6[/tex]

Step-by-step explanation:

4)

This is an arithmetic sequence, where all terms have a common difference:

[tex]a_n=a_1+(n-1)d[/tex]

Here, the common difference is 9.

[tex]11-2=9\\20-11=9[/tex]

Use that to write the equation and solve for a₁₅:

[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]

5)

This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:

[tex]a_n=a_{n-1}+d[/tex]

This simply states that each term is d more than the term before it.

Here, the common difference is 6:

[tex]2--4=6\\8-2=6\\14-8=6[/tex]

And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]

Hi,

.

[tex]( { {a}^{b} })^{c} = {a}^{b \times c} [/tex]

.

[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c} [/tex]

=>

[tex]\frac{ { ({a}^{ - 2} })^{ - 3} }{ { {(a}^{5}) }^{ - 1} } = \frac{ {a}^{ 6} }{ {a}^{ - 5} } = {a}^{ 11} [/tex]

.

.

I hope it helped ✅(•‿•)

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

m∠TOU + m∠TOS = 180° (linear pair)

128° + m∠TOS =  180°

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

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Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

Answer:

2.829 mm

Step-by-step explanation:

Correct:  2.83 mm

Measured(mm)    Difference (mm)

2.837             0.007

2.829            -0.001  Smallest deviation from actual.

2.812            -0.018

2.805            -0.025

The measurement of the piece of metal that is the most accurate is 2.837 cm.

A piece of metal with a length of 2.83 cm was measured using four different devices.

Which of the following measurements is the most accurate?

A piece of metal with a length of 2.83 cm was measured using four different devices.

Accuracy is the degree to which the measured value is close to the correct value.

The difference between the accepted value and the measured value of the quantity is called the error of measurement.

The measurement for the first device is,

[tex]=2.83 - 2.837\\\\=-0.007[/tex]

The measurement of the first device is -0.007.

The measurement for the second device is,

[tex]=2.83 - 2.829\\\\=-0.001[/tex]

The measurement of the second device is -0.001.

The measurement for the third device is,

[tex]=2.83 - 2.812\\\\=-0.018[/tex]

The measurement of the third device is -0.018.

The measurement for the fourth device is,

[tex]=2.83 - 2.805\\\\=-0.025[/tex]

The measurement of the fourth device is -0.02.

Hence, The measurement that is the most accurate is 2.837 cm.

For more details about Substitution refer to the link given below.

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The sum of numbers or expression involves adding the expressions and the numbers together.

Assume that the sum of the degrees is given as:

[tex]Sum = 3 + 4 - 2 + 1[/tex]

The above sum can be rewritten as:

[tex]Sum = 3 + 4 +(- 2) + 1[/tex]

Take the sum of all the numbers (including -2 in bracket)

[tex]Sum = 6[/tex]

If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6

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Answer:

2b+9

Step-by-step explanation:

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

Answer:

70

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Step-by-step explanation:

72 apples.

38 red, and therefore 72-38 = 34 green.

46 have worms, therefore 72-46 = 26 have not.

and so, in the best case you have 26 green apples without worms.

Answer:

False

That is an equation as shown by the = sign.

An inequality has an inequality sign like '<' .

Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.

Answer:

Part a: Answer is 1/2

78 - 3/150 - 0 = 75/150

= 1/2

Part b: Answer is -1/2

3 - 78/300 - 150

= -75/150

= -1/2

Part c: No, the two rates aren’t the same, because one is positive and the other is negative.

Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function

Step-by-step explanation:

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

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Answer: 35 divided by 5 = 7.

Step-by-step explanation: therefore one pound is $7

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

Answer:

its very simple

answer is 21

Step-by-step explanation:

m=7+14

m= 21

Step-by-step explanation:

exterior angle is the sum of two opposite interior angle

11x+9=3x+12+85

11x-3x=88

8x=88

x=11.

hope this helps you.

Answer:

x=11

Step-by-step explanation:

85 + 3x + 12= 11x+9

97  +3x= 11x+9

-97            -97

3x= 11x - 88

-11x    -11x

-8x = -88

/-8     /-8

x=11

Answer:

Step-by-step explanation:

For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.

We will see that both domain and range are the set of all real numbers.

D = (-∞, ∞)

R = (-∞, ∞)

Here we have the function:

The first thing we need to do is find the domain.

We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.

Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).

Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.

Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.

Then the range will also be the set of all real numbers.

Step-by-step explanation:

4^2+9^2=97

Magnitude=sqrt(97)

In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.

To find the magnitude of a vector (a, b), you can use the formula which is expressed as:

Magnitude = √(a² + b²)

Given the vector (4, 9), let's calculate its magnitude as shown below:

Magnitude = √(4² + 9²)

Magnitude = √(16 + 81)

Magnitude = √97

So, the magnitude of the vector (4, 9) is √97 in simplified radical form.

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Answer:

m/s ...................................

Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.

Answer:

  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

Answer:

c i dont know

Step-by-step explanation:

Answer:

Definitely not C

Step-by-step explanation: