∠A and \angle B∠B are vertical angles. If m\angle A=(7x-6)^{\circ}∠A=(7x−6)

∘

and m\angle B=(8x-27)^{\circ}∠B=(8x−27)

∘

, then find the measure of \angle B∠B

Answer:

well to find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.  

explanation:

me is smart

Answer:

C: 8/15

A: 4/25

Step-by-step explanation:

put it into a fraction, four times out of 25 = 4/25, for the first question you would have to simplify it to 8/15.

Using the t-distribution, it is found that the value of the test statistic is given by:

(c) -2. 22

At the null hypotheses, it is tested if the mean is not greater than 250, that is:

[tex]H_0: \mu \leq 250[/tex]

At the alternative hypotheses, it is tested if it is greater, that is:

[tex]H_1: \mu > 250[/tex]

It is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are:

[tex]\overline{x} = 230, \mu = 250, s = 36, n = 16[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{230 - 250}{\frac{36}{\sqrt{16}}}[/tex]

t = -2.22.

Which means that option C is correct.

More can be learned about the t-distribution at https://brainly.com/question/26454209

The total amount that Williana's mother would spend to buy the glass table top is $120.04.

The first step is to determine the area of the glass table top.

Area of a hexagon = [(3√3)/2] x a²

a = side length

2.598 x 27.75² = 2000.68 in²

Cost of the table top = 2000.68 in² x 0.06 = $120.04

To learn more about hexagonal prisms, please check: https://brainly.com/question/27242498

Answer:

18.2

Step-by-step explanation:

An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the first number be x.

Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,

[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]

Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.

Learn more about Equation:

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Answer:

c. x2 + x − 272 = 0

Step-by-step explanation:

Answer:

80.2

Step-by-step explanation:

Answer:80.2

Step-by-step explanation:

i did the test so yeh edg 2023

Answer:

last option

Step-by-step explanation:

7pi/6,11pi/6

Answer:

D

Step-by-step explanation:

the answer is D

this is essentially sin theta = -1/2 which I already solved for you a few mins ago :)

Answer:

3

Step-by-step explanation:

Answer:

Part (a)

It depends how your calculator calculates quadratic regressions.

For my calculator:

a = 1.177142857 = 1.18 (nearest hundredth)

b = 42.22257143 = 42.22 (nearest hundredth)

c = -12.87142857 = -12.87 (nearest hundredth)

⇒ y = 1.18 + 42.22x - 12.87x²

Therefore, the quadratic regression equation in standard form is:

[tex]y = -12.87x^2+ 42.22x + 1.18[/tex]

Part (b)

To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:

[tex]\implies -12.87(5)^2+ 42.22(5) + 1.18=-109.47[/tex]

As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s.  Therefore, the height of the rocket at 5 s will be 0 ft.

(see attached graph → the rocket will hit the ground at approx 3.3 s)

Answer:

The length is 15 and the width is 8

Step-by-step explanation:

Use this formula to find what the dimensions are. x is the length of the shorter side while (x+7) is the length of the longer side:

(x+7)(x) = ((x+7)-3)(x+2)

x = 8

(8+7)(8) = ((8+7)-3)(8+2)
15(8) = (15-3)(10)
120 = 12(10)
120 = 120

The length is proved 15 and the width is proved 8.

Answer:

hi how do you do I actually don't know sorry very much

Answer:

60

Step-by-step explanation:

Just by using process of elimination, we can delete all but 1 answer. 95% is greater than 50% and half of the first second and fourth answers are all greater than 57

Answer:

Question B is (12,-7)

Step-by-step explanation:

The 2nd question is asking for the preimage. You did what the image would be if (4,-3) was the preimage.

(7x + 4)(7x + 4) and (x – 9)(x – 9) are Perfect square trinomial. (5x + 3)(5x – 3) and (–3x – 6)(–3x + 6) shows the Difference of squares.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The following are the answers

(5x + 3)(5x – 3) Difference of squares

(7x + 4)(7x + 4) is a Perfect square trinomial

(2x + 1)(x + 2) has Neither a difference of squares nor a perfect square trinomial.

(4x – 6)(x + 8) has Neither a difference of squares nor a perfect square trinomial.

(x – 9)(x – 9) is Perfect square trinomial

(–3x – 6)(–3x + 6) = [tex](-3x)^2- ( -6)^2[/tex]  Difference of squares.

Learn more about perfect square:

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Answer:

A. B, E, F

Step-by-step explanation:

Answer:

1 degree

Step-by-step explanation:

360 degrees / 360  = 1

Answer:

you gained 20%

Step-by-step explanation:

hope this helps x

Answer: The function is growing exponentially at a rate of 2.5% every day.

Step-by-step explanation:

Answer:

the first graph

Step-by-step explanation:

the inverse function is(x+2)/2

therefore,2 points on the graph are

(0,1),(-2,0)

Answer:

I think a possible equation can be; f(n) = 4(2)ⁿ

f(n) = a * bˣ

Where;

f(n) = the function of f for every n value

a = Initial value (in this case it would be 4)

b = Rate of change (in this case it would be 2, since the bacteria doubles)

x = exponent (in this case it would be n)

So our final equation would be:

f(n) = 4(2)ⁿ

Hope this helps!

Answer:

x^32

Step-by-step explanation: because its (x^4)^8 you mutiply 4 by 8 so you get 32 and 32 is the new power so it is now x^32.

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

[tex]\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}[/tex]

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

[tex]\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}[/tex]

Determining the perimeter of the triangle:

[tex]\text{Perimeter of triangle = Sum of it's side lengths}[/tex]

[tex]\implies \text{Perimeter of triangle =}\ 5 + 4 + 3[/tex]

[tex]\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}[/tex]

Determining the half of perimeter:

[tex]\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}[/tex]

[tex]\implies s = \dfrac{12}{2}[/tex]

[tex]\implies s = 6[/tex]

Replacing the value of "s" in the formula:

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]

Evaluating the area:

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}[/tex]

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}[/tex]

[tex]\implies \text{Area of triangle} = \sqrt{\text{6(6)}[/tex]

[tex]\implies \text{Area of triangle} = 6 \ \text{cm}^{2}[/tex]

Answer:

C

Step-by-step explanation:

If the function equation is F(x)=3x. You just plug in the 3 from F(3) in for the x.

F(x)= 3x

    ↓

F(3)=3(3)

F(3)=9

Answer:

3/50.

Step-by-step explanation:

There are 10 marbles in the bag.

Probability( a green marble) =  2/10 = 1/5.

Now we replace the green marble in the bag so it contains 10 marbles again.

Probabilty(a yellow marble) = 3/10.

So Probability(Choosing a green then a red with repeacemen)

= 1/5 * 3/10

= 3/50.

Answer:

b is greater than a by 1/4 of a

Step-by-step explanation:

The statement “The number a is less than the number b by 1/5 of b”

means “if we subtract one fifth of b from b itself we get a”

we write this mathematically like this :

[tex]a=b-\frac{b}{5}[/tex]

_________

[tex]\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}[/tex]

[tex]a=\frac{4b}{5} \Longrightarrow 5a=4b[/tex]

[tex]5a=4b\Longrightarrow b=\frac{5a}{4}[/tex]

[tex]\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}[/tex]

Answer:

0.25

Step-by-step explanation:

Answer :

[tex] \: [/tex]

Explanation :

[tex] \: [/tex]

Solution :

[tex] \: [/tex]

Where,

[tex] \: [/tex]

We know that,

[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]

We know that, (6)² = 36 and (9)² = 81. So,

[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]

Now, transposing 36 to the other side we get :

[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from UW :

[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]

When we take the square root of (UW)² , it becomes UW,

[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]

We know that, square root of 45 is 6.708.

[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]

So,