Parallel Lines cut by a transversal

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer:

I HATE ONIONS

Step-by-step explanation:

Answer:

yea

Step-by-step explanation:

because the onions are still in cups btw I dont think is a question

Answer:

Step-by-step explanation:

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

mark me as brill

Answer:

Equation for x:    3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = [tex]\frac{CD + FE}{2}[/tex]

3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

Answer:

.13.5%

Step-by-step explanation:

The probability that a student will receive a grade between 74 and 76 is calculated as follows:

µ+2σ=70+2(2)=70+4=74

µ+3σ=70+3(2)=70+6=76

From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.

Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.

Thus, the correct options is A.13.5%.

2.15 is the answer, I did the test on it.

Answer:

2.5 is the scale factor

Step-by-step explanation:

Skills needed: Identifying the Scale Factor, Division

1) First, we need to understand what the scale factor is.

A scale factor is the value being multiplied by one side of a figure to form another figure that is bigger or smaller. For example:

3 x 2, 4 x 2, and 5 x 2 ---> 6 cm, 8 cm, 10 cm.

2) So to find the scale factor in a problem, you would do the side of one triangle divided the corresponding side of the other triangle.

So to find the scale factor in the above problem (if we were only given side lengths 3 cm, 4 cm, and 5cm & also 6 cm, 8 cm, and 10 cm), you would do:

[tex]\frac{6}{3}[/tex] or [tex]\frac{8}{4}[/tex] or [tex]\frac{10}{5}[/tex], all of which equal 2.

3) So in this problem, you would simply do [tex]\frac{10}{4}[/tex], since 10 and 4 are corresponding sides of dilated triangles.  

This is [tex]\frac{5}{2}[/tex] when simplified, or 2.5 as a decimal, since scale factors are usually expressed as decimals.

Hope this helps and have a nice day!! :) :] :D

Step-by-step explanation:

rational. meter. greek

I'll try to find.

Answer:

7. 6

8. 6

9. 12

10. 6

11. 12

12. 24

Step-by-step explanation:

The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24

It is the measure of distance between the two points is called a length.

D is the mid-point of CE. Then

CD = DE = 6

B is the mid-point of AC. Then

AB = BC

C is the mid-point of AE. Then

        AC = CE

AB + BC =  CD + DE

AB + AB = CD + CD

     2 AB = 2 CD

         AB = CD

         AB = 6

Then

AB = 6

BC = AB = 6

AC = AB + BC = 6 + 6 = 12

CD = DE = 6

CE = CD + DE = 6 + 6 = 12

AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24

More about the distance link is given below.

https://brainly.com/question/989117

Answer:

[tex]y = 18 * 1.15^x[/tex]

Step-by-step explanation:

Given

[tex]a = 18[/tex] --- initial

[tex]r =15\%[/tex] -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

[tex]y = ab^x[/tex]

Where

[tex]b=1 +r[/tex]

Substitute [tex]r =15\%[/tex] in [tex]b=1 +r[/tex]

[tex]b = 1 + 15\%[/tex]

[tex]b = 1 + 0.15[/tex]

[tex]b = 1.15[/tex]

Substitute [tex]b = 1.15[/tex] and [tex]a = 18[/tex] in [tex]y = ab^x[/tex]

[tex]y = 18 * 1.15^x[/tex]

Answer:

1.1

Step-by-step explanation:

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]

Answer:

17

Step-by-step explanation:

If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17

Now Misaki pulls out a marble: Probability of red marble= 3/17

probability of blue marble= 4/17

Answer:17

Step-by-step explanation:

Answer:

11.0

Step-by-step explanation:

Using Pythagoras' identity in the lower right triangle.

let the hypotenuse be x , then

x² = 4² + 9² = 16 + 81 = 97

Within the rectangle, use Pythagoras' identity in the lower right triangle.

let y be the dotted line , then

y² = x² + 5² = 97 + 25 = 122 ( take the square root of both sides )

y = [tex]\sqrt{122}[/tex] ≈ 11.0 ( to the nearest tenth )

The dotted line is approximately 11.0 units

Answer:

$408.75

Step-by-step explanation:

25%=0.25

545*0.25=136.25

$545-$136.25=$408.75

Answer:

30 years.

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

Our unknown for this example is T, but first we have to see how much interest is earned.

200 - 80 = 120 in interest (starting with $80, ending with $200)

120 = (80)(0.05)(T)

120 = 4T

30 = T

Please lmk if you have questions.

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

Answer:

1/2

Step-by-step explanation:

In a ratio, two quantities are compared using division. It is used to indicate how big or small a quantity is when compared to another. Here among the given options only 2:7 is equivalent to 10:35. The correct options are A, B and C.

The ratio is defined as the comparison of two quantities of the same units. It indicates how much of the one quantity is present in the other quantity. The ratio are generally of two types, they are part to part ratio and part to whole ratio.

The part to part ratio denotes how distinct the entities or groups are related whereas the part to whole ratio denotes the relationship between a specific group to a whole. We use the ratio formula while comparing the relationship between two numbers or quantities.

Thus the correct option is A, B and C.

To know more about ratio, visit;

https://brainly.com/question/29192438

#SPJ3

Your question is incomplete most probably your full question was:

what ratio below is not equivalent to the ratio 10:35

A. 3:5

B. 2:4

C. 1:3

D. 2:7

Answer:

no

Step-by-step explanation:

[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]

Answer:

180-124-33=23

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Answer: 2/125

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

Answer:

176 feet per minute

Step-by-step explanation:

Answer:

[tex]31,387\:\text{ft}[/tex]

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:

[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].

Answer:

diameter 8

and i think the circumference is 25.12

Step-by-step explanation:

4+4=8

3.14(8)

Answer:

The probability for getting a head and an even number is 0.25.

Step-by-step explanation:

S be the sample space of the event =  { (H,1) ,(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6) }  

∴ n(S) = 12

Let A be the event getting a head and an even number when a coin is tossed and a six sided dice is rolled

Answer:

x = - 9

Step-by-step explanation:

Given

[tex]\frac{x}{3}[/tex] = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

Answer:

3^-5

Step-by-step explanation:

x^-3=1/x^3

this rule applies to all negative exponents lol

Answer:

$200 + $10x = $375

Well we're going to round up to $380, cause their making money in increments of 10 rather than 5.

And based off that I'd subtract $375 from $200 (375 -200 = 180)

Then take that answer and divide it by 10. (180 / 10)

Jesse will need to wash at least 18 more cars in order to afford the bicycle