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Use triangle XYZ to answer the questions


Use special right triangles to help find the length of segment XY. What is the exact base of triangle XYZ?


What is the exact area of triangle XYZ? Leave your answer in RADICAL terms



What is the area of triangle XYZ to the nearest tenth of a Square feet

Step-by-step explanation:

a general line equation is

y = ax + b

"a" being the slope is the line, "b" being the y-intercept (the y value when x = 0).

we see from the 2 marked points (by we could choose any points on the line) that

y changes by 2 units, when x changes by 3 units.

so the slope is 2/3.

we use one point (1, 2) to solve for b

2 = 2/3 × 1 + b = 2/3 + b

6/3 = 2/3 + b

4/3 = b

and the full equation is

y = 2/3 x + 4/3

After 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have:

If a doctor prescribes 75 milligrams of a specific drug to her patient how many milligrams of the drug will remain in the patients' bloodstream.

We know the exponential decay can be given as:

D = a(1 - r)ⁿ

a is the starting value and n is the number of hours.

D = 75(1 - 0.20)⁶

D = 19.66 milligrams

Thus, the after 6 hours the drug remains is 19.66 mg if the drug decays at a rate of 20 percent per hour.

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Circumference = 2 x radius x PI

Circumference = 2 x 3.8 x 3.14

Circumference = 23.86

answer: the closest one is A. 23.8 FT.

The angle between two parallel lines is zero, we can prove it by putting the value of tanθ as 0.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

As we know, parallel lines in geometry are co-planar straight lines that do not cross at any point. Parallel planes are planes that never meet in the same three-dimensional space. Curves that do not touch or contact each other and maintain a constant minimum distance are known as parallel curves.

We know that the angle between two parallel lines is zero degrees.

[tex]\rm tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]

tanθ = 0

m1 = m2

Thus, the angle between two parallel lines is zero we can prove it by putting the value of tanθ as 0.

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This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888

This is a means of reducing the cost of a goods or an asset over time.

Mathematically, the cost of goods after a particular year is expressed as:

P(t) = P0e^-rt

Given

Substitute

P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)

P(17) = 887.79

Hence the value of the car after 9 years is approximately $888

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Answer:

The median of the data is 12.

Step-by-step explanation:

The median is really just another word for the average. To find that, you add all of the numbers and divide that sum by the number of numbers there are.

9+15+17+18+6+20+8+5+18+18+10+5+14+12+10+7=192

There are 16 numbers in this data set. So, we will divide the sum by 16.

192÷16=12

I hope this helps!! :)

The midterm score of 45 is the 3rd decile, meaning that 42% of the Senior High School students scored below this test.

Deciles are a type of percentile that divides data into groups of 10%. That is, each decile comprises 10% of the dataset.

To determine the decile, sort the data from lowest to highest. Now, divide the result by ten. This number reflects the no. of observed values within each decile.

Sorting the data from lowest to highest, we have:

= 14/10

= 1.4

Thus, each decile contains only a 1.4 score.

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Answer:

d = 3

Step-by-step explanation:

6*3=18
2d*6=12d
54-18 = 12d
36/12 = 12d/12
d = 3

Answer:

d = 3

Step-by-step explanation:

6 ( 3 + 2d ) = 54

First, solve the brackets.

18 + 12d = 54

Take 18 to the right side.

12d = 54 - 18

12d = 36

Divide both sides by 12.

d = 3

Answer:

Hendecagon

Step-by-step explanation:

a hendecagon has 11 sides

Answer:

Hendecagon

Step-by-step explanation:

It has 11 sides, 11 corners, and 11 angles inside the shape that equal to 1620 degrees

The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.

Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.

Reason: This is given. The image is a parallelogram.

Therefore if  ΔSVR ≅ PVW;

Then WV = VR.

QED.

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Answer:

Hi,

a=b+3

Step-by-step explanation:

[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}[/tex]

[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}[/tex]

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

a=b+3

Answer:

p=Parentheses

e=Exponents

m=Multiplication

d=Division

a=Addition

s=Subtraction

its an order of solving a equation

Answer: 3360 ft squared

Step-by-step explanation:

Short side : 30 x 14 = 420

Long side 30 x 3 x 14 = 1260

420 + 420 + 1260 + 1260 =  3360

pls give brainliest

have a nice day

Answer:

x = 4.2

Step-by-step explanation:

14.1² + x² = 14.7²

198.81 + x² = 216.09

216.09 - 198.81 = 17.28

√17.28 = 4.15

x = 4.15

Round to nearest tenth

x = 4.2

Area of sector

option B

Answer:

b

Step-by-step explanation:

The area of a sector is (the angle) over 360 multiplied by pi (radius) squared

This would be 45/360 pi (4.5) squared, resulting in option b.

The area of the trapezoid is 284.31 square inches

The area of a trapezoid is:

Area = 0.5 * (Sum of parallel sides) * height

Using the given figure, we have:

Area = 0.5 * (17 + 31.6) * 11.7

Evaluate

Area = 284.31

Hence, the area of the trapezoid is 284.31 square inches

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Answer:

Step-by-step explanation:

we know that

Solve for x

so

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Answer:

what is your from my from is province philippines

Answer:

  g(x) = -√(x+6)

Step-by-step explanation:

The inverse of the function y = f(x) can be found by solving for y the relation x = f(y).

__

  x = f(y)

  x = y^2 -6

  x +6 = y^2 . . . . . . add 6

  -√(x +6) = y . . . . . negative square root

The negative root produces y ≤ 0, equivalent to x ≤ 0 for f(x).

The inverse of f is g(x) = -√(x +6).

_____

Additional comment

The graph of a function and its inverse are mirror images of each other across the line y=x. This is shown in the attachment for the f(x) and g(x) in this problem.

Answer:

  73 cm²

Step-by-step explanation:

Areas and volumes of composite figures are found by dividing the figure into shapes you have formulas for. Sometimes that will be a sum of shapes, and sometimes it will involve the difference of shapes.

__

This shape can be decomposed into two rectangles by extending the horizontal line. (This is the dashed line shown in the attachment.)

The width of the top rectangle will be the sum of the lengths of the labeled horizontal segments:

  4 cm + 5 cm + 3 cm = 12 cm

The height of the top rectangle, and the dimensions of the bottom rectangle (square) are shown in the given figure.

The area of each rectangle is the product of its width and height.

  A = WH

__

  top rectangle area = WH = (12 cm)(4 cm) = 48 cm²

  bottom rectangle area = WH = (5 cm)(5 cm) = 25 cm²

  Area = top rectangle area + bottom rectangle area = (48 cm²) +(25 cm²)

  Area = 73 cm²

The area of this composite shape is 73 cm².

_____

Additional comment

The figure will fit into a rectangle that is 9 cm high by 12 cm wide. From that rectangle, a rectangle 5 cm high and 4 cm wide is removed from the lower left, and a rectangle 5 cm high and 3 cm wide is removed from the lower right. Figuring the area this way, we find it to be ...

  figure area = bounding rectangle area - removed areas

  = (9 cm)(12 cm) -(5 cm)(4 cm) -(5 cm)(3 cm) = 108 cm² -20 cm² -15 cm²

  = 73 cm²

Step-by-step explanation:

coordinates of center is 0,0 there are no hints given to find radius

Answer: a. 720

Step-by-step explanation:

       You have 6 different sticks to choose from for the first stick. Then there are 5 for the second (6 - 1 = 5), then 4 for the third (5 - 1 = 4), etc all the way to the last stick.

       Mathematically, this can be shown with 6!. In other words, 6 factorial.

                      6 * 5 * 4 * 3 * 2 * 1 = 720

      The answer to our question is:

                      a. 720

Differentiating each function, we have for all x, unless otherwise indicated,

[tex]h(x) = 2^x - 1 \implies h'(x) = \ln(2) \, 2^x > 0[/tex]

[tex]g(x) = -4 (2^x) \implies g'(x) = -4 \ln(2) \, 2^x < 0[/tex]

[tex]f(x) = -3x+7 \implies f'(x) = -3 < 0[/tex]

[tex]j(x) = x^2 + 8x + 1 \implies j'(x) = 2x + 8 > 0 \text{ only when } x > -4[/tex]

and only h(x) has a strictly positive derivative. (A)

The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function that has vertex at (2, 6)

The options are:

f(x) = 2|x – 2| – 6

f(x) = 2|x – 2| + 6

f(x) = 2|x + 2| + 6

f(x) = 2|x + 2| – 6

As we know the vertex form of a quadratic function is given by:

f(x) = a(x - h)² + k

Similarly, mod function  can be expressed as:

m(x) = a|x - h| + k

Here (h, k) is the vertex of a function.

In the function:

f(x) = 2|x – 2| + 6

The vertex of the function is (2, 6)

Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

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Answer:

D

Step-by-step explanation:

-1.5(-6m+8n) = 9m-12n

3(3m -4n) = 9m - 12n

9m -12n = 9m -12n

-6(-1.5m +2n) = 9m - 12n

-2(-4.5m+ 4n) = 9m - 8n

Answer: D. -2(-4.5m + 4n)

Step-by-step explanation:

   First, let us simplify -1.5(-6m+8n).

Given:

-1.5(-6m + 8n)

Distribute:

9m - 12n

[A] ✗

   9 /3 = 3 and 12 / 3 = 4

   This means that 3(3m - 4n) = 9m - 12n = -1.5(-6m+8n)

Option A is not our answer.

[B] ✗

   Using this simplified version we did above, option B is not our answer as 9m - 12n = 9m - 12n and 9m - 12n = -1.5(-6m+8n).

[C] ✗

   We will distribute option C to see if we reach the same expression. Seeing below, we do, so option C is not our answer.

-6(-1.5m + 2n)

9m - 12n

[D] ✓

   Since none of the other options are correct, the answer to your question D because it is not equivalent.

                Answer:

          D. -2(-4.5m + 4n)

The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.

Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.

Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.

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The inequality which represents this is x ≥ 22 , Option C is the right answer.

When two algebraic expressions are equated using an inequality operator, <, > etc then the expression formed is called Inequality.

IT is given in the question that

There is a number line , with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three.

The twenty two point is marked with an open circle pointing left

The inequality which represents this is

x ≥ 22 , Option C is the right answer.

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