In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

, then find m∠Q and m∠S.​

On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = [tex]2(24 + 30 + 20)[/tex]

Total Surface Area = [tex]148cm^2[/tex]

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On solving the provided question we can say that - surface area of the following figure cuboid will be - 148cm²

what is surface area ?

An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).

Total Surface Area = 2(lw + bw + lb)

Total Surface Area = - 148cm²

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Answer:

Q1 - 5

Q3 - 12.75

Interquartile Range = 7.75

(i think)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

To find the flat fee for the annual golf pass, we need to find the y-intercept of the linear model. The y-intercept is the point at which the line crosses the y-axis, which in this case represents the flat fee for the annual golf pass.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

We can find the slope of the line using the two points given: (25, 1,167) and (41, 1,407). The slope is (1,407 - 1,167) / (41 - 25) = 240 / 16 = 15.

Now that we know the slope, we can use either of the two points given to find the y-intercept. Let's use the point (25, 1,167). Plugging the values into the equation y = mx + b, we get 1,167 = 15 * 25 + b. Solving for b, we find that b = 1,167 - 15 * 25 = -300.

The y-intercept is -300, so the flat fee for the annual golf pass is $300. The correct answer is therefore D, $807.

"20" is the Pythagorean triplet of 12 and 16.

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a,b, and c such that a right triangle exists with legs a,b, and hypotenuse c.

By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying  a²+b²=c²

The simplest Pythagorean triple is the set “3,4,5.”

Now, substitute the values in the above equation:

=) x² = 12² + 16²

=) x² = 144 + 256

=) x² = 400

=) x = √(400)

=) x = 20.

Therefore, (12,16,20) is a Pythagorean triplet.

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Answer:

c

Step-by-step explanation:

the answer is c

hope it helps

Answer:

she has rode 16 miles this week

Step-by-step explanation:

3 miles on monday 3 times that many on tuesday plus 4 miles one wensaday add them all up

3 times 3 is 9 plus 3 is 12 plus 4 is 16 there fore 16 miles in totale

sorry for my speling erros

She rode a total distance of 16 miles this week.

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

The distance rode by Lexi per day is mentioned below -

Monday - Lexi rode 3 miles on a bike.

Tuesday - Lexi rode 3 times more than she did Monday.

Wednesday - Lexi rode an additional 4 miles.

We can write the expression to find the total distance in miles covered by Lexi as -

d = d{M} + d{T} + d{W}

d = 3 + (3 + 3) + 4

d = 3 + 6 + 4

d = 13 miles

Therefore, she rode a total distance of 16 miles this week.

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Answer:

the x =2 cant be a solution for (x+3)^2 =5.

hope it helps.

Answer:

65

Step-by-step explanation:

We are given f(x) = 9

Substitute 9 for x in f(x) = 8x - 7

f(x) = 8 (9) - 7

f(x) = 72 - 7

f(x) = 65

Answer: Lyda wants to score 80% on a test that is worth 50 points. To figure out how many points she needs to accomplish her goal, we can set up a proportion using her desired percentage as the proportion of points she wants to score over the total number of points on the test.

score / total points = percentage / 100

To figure out the number of points Lyda needs to score, we can use the proportion above and cross-multiply:

score * 100 = percentage * total points

We know that percentage=80 and total points =50, so we can substitute these values:

score * 100 = 80 * 50

score = (80*50) / 100 = 40

So Lyda needs to score 40 points to accomplish her goal of 80%.

The proportion would be score / total points = x/100 = percentage/100 = 40/50 = 8/10

It's worth to mention that scoring 80% on a test means she scored 40 points on a test worth 50, the minimum score to pass is 30 so she got a good grade already.

Step-by-step explanation:

Answer: In order to calculate the value of 3h(2) + 4g(1), we would need to know the specific functions h(x) and g(x) that you are referring to. Without more information, it is not possible to determine the value of the expression.

Typically, piecewise functions are defined by several different expressions, each defined over a different interval of the input variable x. To evaluate a piecewise function at a specific value of x, we must first determine which interval that value of x falls into, and then use the corresponding expression for that interval to find the output value.

Are you able to provide the piecewise functions, or are you just using them as an example?

Also, in case if you want to describe the functions in words, please let me know.

Step-by-step explanation:

9514 1404 393

Answer:

  BC ≈ 5.87

Step-by-step explanation:

The law of sines is applicable.

  a/sin(A) = 7/sin(50°)

Angle A is the complement of angle B, so we have ...

  a = 7(sin(40°)/sin(50°))

  a ≈ 5.8736974

The length of BC is about 5.87 units.

Answer:

106 and 93

Step-by-step explanation:

The whole thing has to add up to 360

Answer:

Option D. {7 + i√71 / 20, 7 – i√71 / 20}

Step-by-step explanation:

10m² – 7m + 3 = 0

Using formula method, the solution to equation can be obtained as follow:

10m² – 7m + 3 = 0

Coefficient of m² (a) = 10

Coefficient of –7m (b) = –7

Constant (c) = 3

m = –b ±√(b² – 4ac) / 2a

= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10

= 7 ±√(49 – 120) / 20

= 7 ±√(–71) / 20

Recall:

–17 = –1 × 17

Thus,

7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20

Recall:

√–1 = i

Thus,

7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20

= 7 + i√71 / 20 or 7 – i√71 / 20

Therefore, the solutions to the equation are:

{7 + i√71 / 20, 7 – i√71 / 20}

Answer:

Solutions given:

[tex] \frac{5x}{2} + \frac{2}{3} [/tex]

Taking L.C.M

[tex] \frac{15x + 4}{6} [/tex] is a right answer.

Answer:

X = - 2

John had solve the equation 4x+(-3)=-11, he said's his answer is x = 2.

Is he wrong or correct? If wrong plz show the steps on how to get the right answer.

Step-by-step explanation:

4x+(-3)= -11

-11 + 3

= -8

We got x by itself

now solve for x

4x = -8

Solution

X = -2

Answer:

( - 7, - 1, 1, 4 )

Step-by-step explanation:

( x, y )

where,

x is Domain

y is Range

Hence,

Domain is ( - 7, - 1, 1, 4 )

Mean distance for group A = 6.01 miles and for group B = 2.17 miles.

In statistics, the mean is the average of all data values given in a data set.

Mean is calculated by adding all the data value and then divided the sum by the total amount of data.

distance in miles for Group A       distance in miles for group B

         11.5                                                  2

          8                                                  

                                                                2.5

         9.2                                                3.23

         6.8                                                 1.3

          4.5                                                1.8

          4.8                                                2.4

         2.5                                                 3

         0.76                                               1.5

                                                                1.8

now mean value for group A = sum of data value/ number of data value

  mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8

  mean distance for group A = 6.01 miles

mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9

 mean distance = 2.17 miles

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The area of the scale drawing is 108 square inches.

I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108

Answer:

7.737

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

Answer:

m= 4

Step-by-step explanation:

i hope this helps :)

Answer:

LOOK BELOW: USE FORMULA WHL WIDTH X HEIGHT X LENGTH

Step-by-step explanation:

4 IN, 3IN, 6IN =72 IN CUBED

6IN, 3IN, 2IN= 36 IN CUBED

4IN, 5IN, 4IN= 80 IN CUBED

2IN, 9IN, 3IN= 54 IN CUBED

Answer:

Graph C (third one down)

Step-by-step explanation:

The line of Graph C is going through closest to the middle, taking all points into account.

Answer:

1/5

Step-by-step explanation:

32^1/5 = 2

Answer:

5

Step-by-step explanation:

2x2x2x2x2 = 2⁵ = 32

Hope this helps :)

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

[tex]Y_{TC}=2+3q[/tex]

The revenue function is:

[tex]Y_{TR}=5\sqrt{q}[/tex]

At break - even points the profit is zero. It means the cost and revenue are equal.

[tex]Y_{TC}=Y_{TR}[/tex]

[tex]2+3q=5\sqrt{q}[/tex]

Squaring both sides, we get

[tex](2+3q)^2=(5\sqrt{q})^2[/tex]

[tex]2^2+2(2)(3q)+(3q)^2=25q[/tex]

[tex]4+12q+9q^2-25q=0[/tex]

[tex]4-13q+9q^2=0[/tex]

Splitting the middle term, we get

[tex]4-4q-9q+9q^2=0[/tex]

[tex]4(1-q)-9q(1+q)=0[/tex]

[tex](4-9q)(1-q)=0[/tex]

Using zero product property, we get

[tex]4-9q=0[/tex] and [tex]1-q=0[/tex]

[tex]q=\dfrac{4}{9}[/tex] and [tex]q=1[/tex]

[tex]q\approx 0.444[/tex] and [tex]q=1[/tex]

Therefore, the break even points are 0.444 and 1.

The second ordered pair using the terms in each sequence is B (6, 24).

The second rule says to subtract 4 from the second term of the ordered pair, starting from 28. So the second term of the second ordered pair would be 28-4 = 24.

Therefore, the second ordered pair using the terms in each sequence is B (6, 24).

This is because:

C (14,16) can be obtained by adding 4 to first term of B(6,24) which is 6+4 = 10 and subtracting 4 from second term of B(6,24) which is 24-4=20.

D (10,20) can be obtained by adding 4 to first term of C(14,16) which is 14+4 = 18 and subtracting 4 from second term of C(14,16) which is 16-4=12.

So the sequence list of ordered pair would be:

First order: A (2,28)

Second order: B(6,24)

Third order: C (14,16) D (10,20)

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Answer:

Step-by-step explanation:

(-2,4)

(0,5)

(2,6)

(4,7)

Answer: 4, 5, 6, 7,

Step-by-step explanation: From the formula   y = x / 2 + 5

substitute x with the value -2

It becomes -2 / 2 + 5

that equals 4

then do the same for the rest

when x = 0

y = 0 / 2 + 5

y = 5

when x = 2

y = 2 / 2 + 5

y = 1 + 5

y = 6

when x = 4

y = 4 / 2 + 5

y = 2 + 5

y = 7

I hope this was helpful