Complete the steps to find the area of the trapezoid.

Area of rectangle = _ square units

Area of triangle 1 = square units

Area of triangle 2 = _ square units

Area of triangle 3 = _ square units

Area of trapezoid = _ square units

Answer:

x = 5, y = 6

Step-by-step explanation:

When you put these values in for x and y, the corresponding sides are congruent, also making the triangles congruent by the Hypotenuse-Leg Theorem.

I hope this helps! ☺

Answer:

6.6 HOURS!

Step-by-step explanation:

Hope this helps!

:D:D:D:D

Answer:

Step-by-step explanation:

since both equations are equal to the same thing, y, they are therefore equal to each other

so:

[tex]3x-5=2x-6\\x-5=-6\\x=-1\\[/tex]

substitute x, -1,  into either equation to solve for y

[tex]y=3(-1)-5\\y=-3-5\\y=-8[/tex]

or

[tex]y=2(-1)-6\\y=-2-6\\y=-8[/tex]

Therefore, the solution is (-1,-8)

After solving the equations by substitution method the value of x is -1 and the value of y is -8. Hence, option C is correct.

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation from the question,

y = 3x -5   (i)

y = 2x - 6  (ii)

Compare both equations,

3x - 5 = 2x - 6

3x -2x = -6 + 5

x = -1

Substitute x = -1 in equation (i)

y = 3 (-1) - 5

y = -8.

Therefore, both the values are (-1, -8).

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Answer:

15-x+4=-59

Step-by-step explanation:

The equation of 15 subtracted from the product of a number and 4 is -59 is 4x - 15 = -59.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 15 is subtracted from the product of a number and 4 is -59. The expression will be written by assuming that the unknown number is x.

The expression is written as,

4x - 15 = -59

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Answer:

x=7

Step-by-step explanation:

The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.

To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives  you 7.

1) Minus 104 from 180.

[tex]180-104=76[/tex]

2) Multiply 25 by 2.

[tex]25*2=50[/tex]

3) Add 50 to 76.

[tex]50+76=126[/tex]

4) Multiply 9 by 2.

[tex]9*2=18[/tex]

5) Divide 126 by 18.

[tex]126/18=7[/tex]

6) [tex]x=7[/tex]

Answer Checking:

To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.

1) Multiply 7 by 18.

[tex]7*18=126[/tex]

2) Minus 50 from 126.

[tex]126-50=76[/tex]

3) Add 104 to 76.

[tex]104+76=180[/tex]

Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.

The expressions used to find XY is XY = 22/sin(41)

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given triangle XYZ with side XY as the hypotenuse. Hence using trigonometric ratios:

sin(41) = 22 / XY

Making XY the subject of the equation:

XY = 22/sin(41)

The expressions used to find XY is XY = 22/sin(41)

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Answer:

D. XY = 22/ (sin) 41

Step-by-step explanation:

I did it on edge

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

Answer:

D) No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Step-by-step explanation:

Answer:

#1 is It could be another girl or it could be a boy

#2 is Its could be another boy or it could be a girl.

The diagram should look like this:

BB. BG

GB GG

#4 is 4

#5 is 1

#6 is there is 1/2 a change the baby can be a girl and a 1/2 change the baby can be a boy. For both of them to be girls; it would be 1/4 chance.

Answer:

( - [tex]\frac{45}{19}[/tex], - 3)

Step-by-step explanation:

Given

19x = 15y and (x, - 3 ), that is y = - 3

Substitute y = - 3 into the equation

19x = 15(- 3) = - 45 ( divide both sides by 19 )

x = - [tex]\frac{45}{19}[/tex]

Answer:

[tex] y=2.5 \sin(\pi t)[/tex]

Step-by-step explanation:

Time period $T$ is 2 sec.

$T=\frac{2\pi}{\omega}$

$\therefore 2=\frac{2\pi}{\omega}$

$\therefore \omega=\pi$

The amplitude is half the distance between highest and lowest points.

Thus, amplitude $A= 2.5$

The equation to the SHM is:

$y=A \sin (\omega t)$

Or,

$\boxed{y=2.5 \sin (\pi t)}$

The equation that models the position of the weight at time t seconds is y = 2.5 sin(πt).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Time taken to complete one cycle= 2sec

Distance from lowest to highest point= 5in

Now,

The position of the weight attached to a spring that is oscillating up and down can be modeled by a sinusoidal function of time. Specifically, the equation for the position (in inches) of the weight as a function of time (in seconds) can be written in the form:

y = A sin(ωt + φ) + k

where:

A is the amplitude of the oscillation, which is half the distance between the highest and lowest point. In this case, A = 5/2 = 2.5 in.

ω is the angular frequency of the oscillation, which is related to the period T (the time for one complete cycle) by the formula ω = 2π/T. In this case, T = 2 sec, so ω = 2π/2 = π rad/sec.

φ is the phase shift of the oscillation, which determines the starting position of the weight. Since no specific starting position is given in the problem, we can assume that the weight starts at the highest point, which corresponds to a phase shift of φ = 0.

In this case, k = (5 + (-5))/2 = 0.

Putting all of these values into the equation, we get:

y = 2.5 sin(πt + 0) + 0

Simplifying, we get the final equation for the position of the weight at time t seconds:

y = 2.5 sin(πt)

Therefore, by the equations the answer will be y = 2.5 sin(πt).

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Step-by-step explanation:

2x² + x - 28

= 2x² + ( 8 - 7)x - 28

= 2x² + 8x - 7x - 28

= 2x ( x + 4) - 7( x + 4)

= (x + 4) (2x - 7)

Hope it will help you :)

Answer:

10 -

c = 5.1

a = 3.1

11 -

Step-by-step explanation:

10 -

3.7 / 3 = 1.2333    You need this to find how much greater the left side is.

c = 4.1 x 1.2333

a = 2.5 x 1.2333

11 -

y=15

z=

(If two triangles are next to each other with a straight line and one is a right angle, so is the other triangle)

Since they are both right angles, they are 3,4,5 triangles.

The 12 would count as the four since is divides by 4

The y would equal 15 because it is the longest side meaning it has to be the  5. Since we had to divide the 12 by 3 to get the four, we have to multiply the 5 by 3 to get 15.

Now to find z, you will make the equation 15/12=z/5

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

Answer:

one-fifth of $1,000 is $200; a donation of $30 per charity results in a total of $240 in  1. 32 1/2 2. 30 3.  Dan went first and dug 1/9 of the total distance early the next morning.

Step-by-step explanation:

Answer:

Step-by-step explanation:

4d-4=5d-8

add 4 to both sides

4d=5d-4

subtract 5d from both sides

-d=-4

switch so d is positive

d=4

Answer: d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

     +8         +8    (Add 8 to both sides)

4d + 4 = 5d

-4d        -4d       (Subtract 4d from both side)

d= 4

Answers and Step-by-step explanations:

3. When we have congruent triangles, the corresponding sides are the same. Here, we know that ABC is congruent to DEC and since ED and AB are corresponding sides (my assumption), then they are equal. Set them equal:

4y + 2 = 6y - 4

2y = 6

y = 3

Plug this back into the equation for AB:

6 * 3 - 4 = 18 - 4 = 14

So, AB is 14 units.

4. Congruent triangles also have congruent corresponding angles. Here, angles ACB and DEF are congruent, while angles BAC and EDF are congruent. So, set them equal:

3y = 42

and

87 = 5x + 2

Then, y = 42/3 = 14 and x = (87 - 2)/5 = 85/5 = 13.

x = 13, y = 14

Hope this helps!

Answer:

1. x = 31

2. 74

3. 14

4. x = y = 17

Step-by-step explanation:

1. AB = JK

2x + 12 = 4x - 50

2x = 62

x = 31

2. 2(31) + 12 = 74

3. DE = AB

4y + 2 = 6y - 4

2y = 6

y = 3

AB = 6(3) - 4 = 14

4. Angle D = Angle A

5x + 2 = 87

5x = 85

x = 17

Angle C = Angle F

Angle F = 180 - 87 - 42 = 51

3y = 51

y = 17

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

To find the difference in cubic centimeters between the areas of the two flying disks, we need to calculate the volumes of the disks and then find the difference between them. The volume of a disk can be calculated using the formula V = (π * r^2 * h) / 3, where r is the radius and h is the height. Since the disks are 2-dimensional, we can assume their height is negligible.

For the disk with a diameter of 12 cm (radius = 6 cm), the volume is (π * 6^2 * 0) / 3 = 0 cm³.

For the disk with a diameter of 24 cm (radius = 12 cm), the volume is (π * 12^2 * 0) / 3 = 144π cm³.

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

Answer:

B) 0; relatively no correlation.

Step-by-step explanation:

Data tends to not be collinear

The correct statement is,

D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We get;

Based on the general understanding of climate trends, the correct correlation between a city's monthly temperature averages and precipitation totals would be;

⇒ strong positive correlation between the monthly temperature averages and the amount of precipitation.

because in warmer months, the air can hold more moisture, leading to more precipitation. In colder months, there is less moisture in the air, leading to less precipitation.

Thus, as the temperature increases, so does the amount of precipitation, resulting in a strong positive correlation.

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Answer:

option C. 6 mi.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

negative times a negative is a positive

In mathematics, a double negative gives a positive result. Therefore, -(-2) equals 2, so the number equivalent to -(-2) is 2.

In Mathematics domain, the double negative rule states that the 'negative of a negative is a positive'. It suggests that if you have two negative signs, one turns the other into a positive. So, -(-2) is equals to +2. In simpler terms, if you have a negative number and you negate it, you get the positive version of that number. Therefore, the number that is equivalent to -(-2) is 2

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Step-by-step explanation:

[tex] {20x}^{6} \\ = 2 \times 2 \times 5 \times x \times x \times x \times x \times x \times x[/tex]

hey Emma your answer is here

Answer:

this is false

Step-by-step explanation:

lines that curve can function but if the line that curves hit say "the y is twice it is not a function it is only a function if it does not hit a line twice" this isnt a function because it hits the y axis twice.  

Answer:

approximately $18,984

Step-by-step explanation:

so 15% multiplied by 5 is 75%

25,000 multiplied by .75 is 18,750

Answer:

A

Step-by-step explanation:

Answer:

6x + 12x + 90 = 180

Step-by-step explanation:

Well 6x plus 12x must equal 90 degrees. 6x plus 12x plus 90 has to equal 180.

Therefore, 6x + 12x + 90 = 180

Because then, if you subtract 90 from both sides, you have that 6x + 12x = 90.

Answer:

It is always recommended to declare a function before its use so that we don't see any surprises when the program is run

Step-by-step explanation:

Answer:

Not sure, but I would put A

Step-by-step explanation: