Quadrilateral ABCD and quadrilateral PQRS are similar. The lengths of AB and CD are 15 units each, and the lengths of AD and BC are 10 units
each.
Use the given information to complete the following sentences.
If the length of PQ is 6 units, then the length of PS is
units. If m_ADC is 62° and m_BCDis 118°, then m QRS is

Answer:

Step-by-step explanation:

44

Answer:

Step-by-step explanation:

Let \(c\) be the total cookies.

\(\frac{1}{2}c+12+10=c\)

\(\frac{1}{2}c+22=c\)

\(c+44=2c\)     (multiplied both sides by 2)

\(44=c\)             (subtracted c from both sides)

\(c=44\)

She began with 44 cookies.

Alexander is utilizing a scale of 1 inch : 300 feet for his map.

The Alexander's triangle has a height of 4 inches in inches.

When comparing the initial dimensions as used by alexander, the scale of the map may be determined.

The scale is 1 inch: 300 feet since he used 10 inches to symbolize 3000 feet, this is gotten by diving both sides by 10

Using the scale factor 1 inch: 300 feet, the height of 1200 feet would be.

300 feet per inch, then ? inch is 1200 feet

? * 300 = 1200 * 1

? = 1200 / 300

? = 4 inches

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

x=10

Step-by-step explanation:

Answer:

x is 10 degrees

Step-by-step explanation:

180-90=90

(2x+3)+(5x+17) = 90

7x+20=90

7x=70

x=10

Answer: 1

Step-by-step explanation:

Distribute the 2 to the 1 and 2 and get 6 divided by 2+4.

Combine the 2 and 4 and you get 6

6 divided by 6 is 1

Answer:

a = 2

b = 1

c = 1

Step-by-step explanation:

The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.

Thus,

a = 2

b = 1 (1 * x = x)

c = 1

Answer:

The probability of getting a number greater than two or an odd number :

\(= \frac{5}{6}\)

Step-by-step explanation:

the sample space is {1 , 2 , 3 , 4  5 , 6}

• let A be the event “getting a number greater than two“

Then

A = {3 , 4 , 5 , 6}

Then

p(A) = 4/6 = 2/3

• let B be the event “getting an odd number“

Then

B = {1 , 3 , 5}

Then

p(B) = 3/6 = 1/2

We notice that The event “getting a number greater than two or an odd number” is the event A∪B.

Then

p(getting a number greater than two or an odd number)

= p(A∪B)

= p(A) + p(B) − p(A∩B)

Calculating p(A∩B) :

A = {3 , 4 , 5 , 6} and B = {1 , 3 , 5}

Then

A∩B = {3 , 5}

Then

p(A∩B) = 2/6 = 1/3

Conclusion :

p(A∪B)

= p(A) + p(B) − p(A∩B)

= 2÷3  + 1÷2  − 1÷3

= 1÷3 + 1÷2

= 5÷6

The probability of getting a number greater than two or an odd number is 0.8.

We have a roll die.

We have to find the probability of getting a number greater than two or an odd number.

The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A)  =  \(\frac{No. \;of\;possible\;outcomes}{Total\;number\;of\;outcomes}\)

According to question -

For getting a number greater than two or an odd number, the total number of possible outcomes are - 5.

For rolling a die, the number of outcomes will be - 6

Hence, the probability of occurrence of Event A will be -

P(A) = \(\frac{5}{6}\) = 0.8

Hence, probability of getting a number greater than two or an odd number is 0.8.

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Answer:

x = 5 - 2a

Step by step explanation:

2x + 4a = 10

So, 2x = 10 - 4a

=> x = (10 - 4a)/2

=> x = 5 - 2a

Hope this answer helps, if it does help, please mark me as brainliest,

Thank you.

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer:

0.34

Step-by-step explanation:

multiply them
0.85 * 0.4 = 0.34

answer:

a) -2÷-1 because I divided by 4, so -8÷4=-2 and -4÷4= 1

b) 6÷-1 because I divided by 3 so 18÷6=6 and -3÷3=1

c)-12÷1 because I divided by 2 so -24÷2=12 and 2÷2=1

d) it has no change

Answer:

a. 2

b. -6

c. -12

d. -17

Step-by-step explanation:

a. -8/-4=2  The two negatives cancel each other out (-8 and -4).

b. 18/-3=-6  Two negatives (-3 and -6) make a positive.

c. -24/2=-12  One positive and one negative make a negative (-24 and 2).

d. 17/-1=-17 One positive and one negative make a negative (17 and -1).

Hope this helps! Have a nice day c:

The coordinates of the vertex points of the triangle rotated through 180° about the origin, are (-1, -2), (-4, -2), and (-4, -4)

The drawing of the image of the triangle rotated through 180°, created using MS Excel is attached

A rotation transformation is one in which points on the figure to be rotated are turned about a center of rotation, following a circular path.

The coordinates of the vertices of the triangle are; (1, 2), (4, 2), and (4, 4)

The coordinates of the image following rotation of a point (x, y) 180°, about the origin is the point (-x, -y)

Therefore, the coordinates of the image of the triangle following the rotation are;

Rotation of the point (1, 2) 180° ⇒ (-1, -2)

Rotation of the point (4, 2) 180° ⇒ (-4, -2)

Rotation of the point (4, 4) 180° ⇒ (-4, -4)

Please find attached the graph of the image of the triangle with the vertex points (-1, -2), (-4, -2), and (-4, -4) following the rotation through 180° about the origin, created with MS Excel

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The critical numbers of the function g(x) =\(2x^2(4^x)\)are x = 0 and x = -2.

To find the critical numbers of the function g(x) = 2x^2(4^x), we need to find the values of x where the derivative of the function is either zero or undefined.

Let's start by finding the derivative of g(x):

\(g'(x) = 4x(4^x)ln(4) + 2x^2(4^x)ln(4)\)

Now, set the derivative equal to zero and solve for x:

\(4x(4^x)ln(4) + 2x^2(4^x)ln(4) = 0\)

Factor out the common term:

4x(4^x)ln(4)[1 + 0.5x] = 0

Now, we have two possibilities:

4x = 0, which gives x = 0.

(4^x)ln(4)[1 + 0.5x] = 0, which implies either \((4^x)ln(4)\) = 0 or 1 + 0.5x = 0.

For \((4^x)ln(4)\) = 0, we can rewrite it as ln(4) = 0, which is not possible since ln(4) is a positive constant.

For 1 + 0.5x = 0, we solve for x:

1 + 0.5x = 0

0.5x = -1

x = -2.

Therefore, the critical numbers of the function g(x) =\(2x^2(4^x)\) are x = 0 and x = -2.

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Answer:

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Step-by-step explanation:

Answer:

It's the longest side of a right-angled triangle, which is the side opposite the right angle.

Answer:

8. Absolute values are always positive.

Answer:

4c+6≤−10

4c+6−6≤−10−6 ... subtract 6

4c≤−16...divide both sides by 4

final: c≤−4

5c-3>2

5c-3>2...add 3

5c>5...divide by 5

c>1

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

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That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.

How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.

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Pearson's correlation coefficient, r, measures the linear relationship between two variables. The correlation coefficient can take a range of values from +1 to -1.

• A value of 0 indicates that there is no association between the two variables.

• A value ,greater than 0, indicates a ,positive association., That is, as the value of one variable increases, so does the value of the other.

• A value ,less than 0, indicates a ,negative association,; that is, as the value of one variable increases, the value of the other decreases.

Graphically,

In this case, you can see that as the value of a variable x increases, the value of the variable y other decreases. Then, the correlation coefficient of these two variables is negative.

Also, you can see that the values of the variables do not completely fit a line but are very close to one.

Therefore, the best estimate of r is -.94.

Answer:

x + y - 4 = 0

Hope this helps, if you need more of an explanation feel free to let me know!

Answer:

It has 5 Faces.

The 4 Side Faces are Triangles.

The Base is a Square.

It has 5 Vertices (corner points)

It has 8 Edges.

Step-by-step explanation:

btw you can choose 3

slope formula  can be illustrated  as ,  (y₂ - y₁) / (x₂ - x₁)

It is given in question that-

x₁ = -1 and y₁ = 1

x₂ = -2and y₂ = -3

so by using given formula for slope

slope= (y₂ - y₁) / (x₂ - x₁)

slope = (-3- (1) / (-2 - (-1) = (-3 - 1) / (-2 + 1) = -4/-1 = 4

final answer , slope =4

What is slope ?

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

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Answer:

\( \sf \: slope(m) = 4\)

Step-by-step explanation:

Now we have to,

→ find the required slope.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (-3 - 1)/(-2 -(-1))

→ m = (-4)/(-2 + 1)

→ m = (-4)/(-1)

→ m = 4/1

→ [ m = 4 ]

Hence, the slope is 4.

Answer: 96/100

Explanation: 52 + 44 = 96.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

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

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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