Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?

Answer:

x = 60°

Step-by-step explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs  that are intercepted.

Therefore:

[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]

[tex] x = \frac{1}{2}(240 - 120) [/tex]

[tex] x = \frac{1}{2}(120) [/tex]

x = 60°

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Answer:

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

Answer:

20 * 19.52 = 390.40

Thank you and please rate me as brainliest as it will help me to level up

Answer: Im confused?

Step-by-step explanation:

Answer:

The amount of weight added is 26,729.7 pounds

Step-by-step explanation:

Here, we are told that a gallon of water weighs 8.34 pounds

Now, we want to find the weight of 3,205 gallons of water

Mathematically, that would be;

3,205 * 8.34 = 26,729.7 pounds

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

Answer:

C

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

Answer:

I belive this would be C

Step-by-step explanation:

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

Answer:

take any 2 sides and equate it

then u will get the value of x then then take the aside and put the value of x u will get the answer

Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

To know more about logarithm click on,

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Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

Answer:

Each car weighs 2,265 pounds

Step-by-step explanation:

Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:

50,855 - 35,000 = X

15.855 = X

Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:

15.855 / 7 = X

2,265 = X

Therefore, each car weighs about 2,265 pounds.

You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.  

52/7 = 260/35

18/5 = 126/35

Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

Answer:

standard form: Ax + By = C

Slope-intercept form: y=mx+b

where m is the slope and b is the y intercept.

first lets put this into intercept form:

y=-5x+b

(4, 0) is the x intercept.)

To find what b is plug in the point 4, 0 for the x and y of the equation:

0=-5(4)+b

0=-20+b

20=b

b=20

Now that we have the slope, m, and the y intercept, b, we can make our equation

y=-5x+20

Now we need to transform this equation into standard form like so:

y=-5x+20

5x+y=20 - this is your answer

Step-by-step explanation:

Answer:

40 meters

Step-by-step explanation:

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Answer:

1

Step-by-step explanation:

The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.

The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be

The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.

Then the z-score will be

z = (52000 – 54000) / 5000

z = –2000 / 5000

z = –0.4

Then the correct option is B.

Then the probability will be

P(x < 52000) = P(z < 0.-4)

P(x < 52000) = 0.34458

Then the correct option is C.

More about the z-score link is given below.

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Answer:

Input Data :

Fraction A = 8383

Fraction B = 7272

Objective :

Find the product of fractions?

Formula :

Solution :

83×7283×72 = ?

Mutiply both numerators & denominators

83×7283×72= 8×73×28×73×2 = 566566

Simplify above fraction 566566

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

566=56÷26÷2=283566=56÷26÷2=283

83×72=283

hi

if x= 2+4y-5  then        x-2 +5 =  4y   so   y =  (x-2+5)  /4 =  ( x+3) /4

conclusion   y  =  (x+3)/4

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Answer:

5,6 meaning the answer is 4

Step-by-step explanation: