How do I solve this problem?

Check the picture below.

In parallelogram QRST, if  n/Q=33°, m∠T = 33°.

In a parallelogram, opposite angles are congruent. When opposite angles are congruent, it means that the angles located on opposite corners of a shape are equal in measure. This is true for several types of shapes, including parallelograms, rectangles, and squares.

Since we know that ∠Q has a measure of 33°, the opposite angle (∠T) will also have the same measure. Therefore, m∠T = 33°.

Congruent opposite angles are important in geometry because they allow us to determine other angles or side lengths of a shape through the use of angles relationships and congruence.

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63% of people Surveyed shop at a local grocery store.

A number can be expressed as a fraction of 100 using a percentage. The word "%" stands for percentage.

For instance, 50% represents 50 out of 100, or 0.5 in decimal form. Frequently, proportions, rates, and changes in quantity are represented as percentages.

In many aspects of daily life, including the calculation of sales tax, loan interest rates, and price discounts, percentages are frequently utilised. They are also employed in many academic disciplines, including math, physics, economics, and statistics.

The equality of two ratios is referred to as a percentage in mathematics. A ratio is a comparison of two amounts or values;

it is frequently stated as a fraction.

For instance, "3/5" can be used to represent the proportion of boys to girls in a classroom.

An assertion of equality between two ratios is a proportion.

For instance, the ratio of males to girls is the same as the ratio of boys to all pupils,

hence the sentence "3/5 = 6/10" is a proportion.

Analysis: -

people surveyed at store = 45

total no. of people = 72

the

Percent of peopla = 45/72  x100

= 0.625 × 100

= 62.5 %

= 63 %

63% of people Surveyed shop at a local grocery store.

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The value of Cscθ is 1/y.

What is a trigonometric function?

The right-angled triangle's angle and the ratio of its two side lengths are related by the trigonometric functions, which are actual functions. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Here, we have

Given: if p(x,y) is the point on the unit circle defined by the real number theta.

We have to find the value of the csc theta.

P(x,y) is the point on the unit circle  (the unit circle has a radius of 1 and center (0,0))

Now in a diagram, we can see that

OA= x

AP= y

radius OP =1

∠POA =θ

Now in ΔAOP

Cscθ = hypotenuse/opposite side

Cscθ = OP/AP

Cscθ = 1/y

Hence, the value of Cscθ is 1/y.

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In 5 minutes, the camel can drink = 1.5 x 5 = 7.5 gallons of water.

So, the camel can drink 7.5 gallons of water in 5 minutes.

The unitary method is a mathematical technique used to solve problems related to proportionality.

It involves finding the value of a single unit and using it to determine the value of a given quantity or multiple quantities.

The unitary method is useful in solving problems that involve direct proportion or inverse proportion.

To find out how much water the camel can drink in 5 minutes, we can use the unitary method.

We know that the camel can drink 15 gallons of water in 10 minutes.

So, in 1 minute, the camel can drink = 15/10 = 1.5 gallons of water.

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Answer:

1. (a-1)(a-2)

2. (b+1)(b+3)

3. (c+1)(c+5)

4. (x+1)(x+7)

5. (y+1)(y+9)

6. (r+1)(r+11)

7. (m+1)(m+4)

8. (a-1)(a-7)

9. (x-1)(x-11)

10. (x+1)(x+10)

11. (t-6)(t-12)

12. (r-6)(r-10)

13. (z-10)^2

14. (y+5)(y-1)

15. (b-4)(b+2)

16. (x-8)(x+5)

17.  (2x-1)(x-2)

18. (3x+1)(x+3)

19. (2x+1)(x+5)

20. (2x+3)(x+2)

The truth table for (A ⋁ B) ⋀ ~(A ⋀ B) is:

A   B   (A ⋁ B) ⋀ ~(A ⋀ B)

0   0                0

0    1                0

1     0               0

1     1                0

A truth table is a table that displays all possible combinations of truth values (true or false) for one or more propositions or logical expressions, as well as the truth value of the resulting compound proposition or expression that is created by combining them using logical operators like AND, OR, NOT, IMPLIES, etc.

The columns of a truth table reflect the propositions or expressions themselves as well as the compound expressions created by applying logical operators to them. The rows of a truth table correspond to the various possible combinations of truth values for the propositions or expressions.

To complete the truth table for (A ⋁ B) ⋀ ~(A ⋀ B), we need to consider all possible combinations of truth values for A and B.

A   B   A ⋁ B   A ⋀ B   ~(A ⋀ B)   (A ⋁ B) ⋀ ~(A ⋀ B)

0   0      0            0             1                      0

0    1       1            0             1                      0

1    0       1            0             1                      0

1    1        1             1             0                     0

So, the only case where the expression is true is when both A and B are true, and for all other cases it is false.

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Answer:

at 6 pm

Step-by-step explanation:

I'm 99.9% sure that it's correct, please tell me if I'm wrong

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

The scale factor is the ratio of the corresponding side lengths in the original figure and the image.

If the image was created by reducing the size of the original figure, then the scale factor is less than 1.

If the image was created by enlarging the size of the original figure, then the scale factor is greater than 1.

The given options for the scale factor are "one half" and "two fourths".

"One half" is equivalent to 0.5.

"Two fourths" is equivalent to 0.5 as well (since 2/4 can be simplified to 1/2, which is 0.5).

Therefore, the scale factor used to create the image is 0.5 or one half, which suggests that the image was created by reducing the size of the original figure by a factor of 0.5.

The surface area of the triangular prism with rectangular base is 736 cm².

Surface area refers to the total area that the surface of an object covers. It is a measure of how much exposed area there is on the outside of an object. The surface area of an object is usually expressed in square units, such as square meters, square centimeters, or square feet.

Here,

The formula for the surface area of a triangular prism with rectangular base is:

SA = 2lw + lh + wh

where l is the length of the rectangular base, w is the width of the rectangular base, h is the height of the triangular prism.

Given:

Side of triangle = 16 cm and 12 cm

Side of rectangle = 20 cm and 10 cm

Since we are not given the height of the triangular prism, we cannot calculate the exact surface area. However, we can give a general formula for the surface area in terms of the height h:

SA = 2(20)(10) + (16)(h) + (12)(h)

SA = 400 + 28h

So the surface area of the triangular prism with rectangular base is 400 + 28h, where h is the height of the triangular prism in cm.

h=12 cm

400+28h=400+28*12

=736 cm²

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the employer's total FUTA and SUTA tax is: $2,928

What is tax rate?

The percentage of income that a person or corporation must pay or withhold as taxes is known as the effective tax rate.

$7,000 (for Zachary Fox) + $7,000 (for Calvin Bell) + $7,000 (for David Alexander) + $7,000 (for Michael Sierra) = $28,000

The FUTA tax for this amount is:

$28,000 × 6.0% = $1,680

Therefore, the total taxable earnings subject to SUTA tax is:

$26,000 (for each employee) × 4 (number of employees) = $104,000

The SUTA tax for this amount is:

$104,000 × 1.2% = $1,248

The year-to-date FUTA and SUTA taxes are not given explicitly, so we cannot calculate the current period FUTA and SUTA taxes.

Therefore, the employer's total FUTA and SUTA tax is:

$1,680 (FUTA tax) + $1,248 (SUTA tax) = $2,928

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Answer:

I believe it’s because they were adding by 5 with each number in the sequence.

Step-by-step explanation:

if you take 3+_= 8 what goes in the missing spot? 5 would, so we look at the next number and see if it’s a pattern. 13 so 8+_= 13 we know that’s 5 as well. So there’s a pattern of +5 hence why 7 is not part of the sequence.

Answer:

oh

Step-by-step explanation:

idrk i just searched it up

Answer:  33.51 cubic units.

Step-by-step explanation: The equation for the volume of a circle is:

V = (4/3)πr³

where r is the sweep of the circle.

Since the distance across of the circle is given as 4, we are able discover the span by partitioning the distance across by 2:

r = d/2 = 4/2 = 2

Presently we are able plug within the esteem of the sweep into the equation for the volume:

V = (4/3)π(2³) = (4/3)π(8) = 32/3π

Answer: 33.51

Step-by-step explanation:

The formula is 4/3 pi r^3. The radius is 2. If you do the equation, you get roughly 33.51.

Answer:

-9/2

Step-by-step explanation:

f(x) = 3/2x + b

f(2) = 0

Find out what the variable b is.

3/2(2) + b = 0

3 + b = 0

Subtract 3 from both sides.

b = -3

f(-1) = 3/2(-1) - 3

f(-1) = -4.5

-4.5 = -9/2

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Katemust have watered at least 12 daisies (in groups of 3) and 12 lilies (in groups of 12).

To determine the minimum number of each flower Kate must have watered, we need to find the least common multiple (LCM) of 3 and 12.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The multiples of 12 are: 12, 24, 36, 48, 60, ...

We can see that the least common multiple of 3 and 12 is 12, as it is the smallest number that appears in both lists. Therefore, she must have watered at least 12 daisies (in groups of 3) and 12 lilies (in groups of 12).

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Answer:

Hm

Step-by-step explanation:

The formula to find the circumference of a circle is:

Circumference = 2πr

Where "r" is the radius of the circle, and "π" (pi) is a mathematical constant approximately equal to 3.14.

Substituting the given value of radius, we get:

Circumference = 2 x π x 6

Circumference = 12π

Circumference ≈ 37.7 cm (rounded to one decimal place)

Therefore, the circumference of a CD that has a radius of 6 centimeters is approximately 37.7 cm.

Answer: He could be 47 or 46

Step-by-step explanation: I need the exact date of the time he was born (just the month and the day) to tell you how old he really is, but with the information given, he could be 47 or 46.

He would be 47 years                       [tex]1945\\-\\1898\\=\\47\\[/tex]

Answer:

The answer is 0.777

Step-by-step explanation:

0.3÷3×7

0.3=1/3

=1/3×1/3×7

=7/9

=0.777

Answer: We can solve this system of equations using elimination as follows:

9x + 15y = 6

5y = -3x + 2

To eliminate y, we can multiply the second equation by -3 and add it to the first equation:

9x + 15y = 6

-15y = 9x - 6

Simplifying the second equation, we get:

-5y = 3x - 2

Now we have two equations in terms of x and y:

9x + 15y = 6

-5y = 3x - 2

If we multiply the second equation by -3 and add it to the first equation, we get:

9x + 15y = 6

15y - 9x = 6

Simplifying, we get:

6y = 2

Dividing by 6, we get:

y = 1/3

Substituting y into the second equation, we get:

5(1/3) = -3x + 2

Simplifying, we get:

-3x = -13/3

Dividing by -3, we get:

x = 13/9

Therefore, the solution to the system of equations is (x, y) = (13/9, 1/3).

Mandy's statement that the system has no solutions is false. The system has a unique solution.

Step-by-step explanation:

The translation used to create the image A'B'C'D', from the pre-image, ABCD is; 7 units to the right

A translation transformation is one in which the location of the points on the pre-image is changes but the size, and orientation of the pre-image is preserved.

The coordinates of the vertices of the polygon ABCD are; (1, 5), (3, 1), (7, 1), (5, 5)

The coordinates of the vertices of the polygon A'B'C'D' are; (8, 5), (10, 1), (14, 1), (12, 5)

Whereby the vertices of the image and the preimage are;

A(1, 5), B(3, 1), C(7, 1), D(5, 5), and A'(8, 5), B'(10, 1), C'(14, 1), D'(12, 5), the difference in the x and y-values indicates;

A' - A = (8 - 1, 5 - 5) = (7, 0)

B' - B = (10 - 3, 1 - 1) = (7, 0)

C' - C = (14 - 7, 1 - 1) = (7, 0)

D' - D = (12 - 5, 5 - 5) = (7, 0)

Therefore, the transformation used to create the image A'B'C'D' from the pre-image, ABCD is a translation; 7 units to the right

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The calculated value of the ratio of the radii of A and B is 2.

The ratio of the areas of two circles A and B is equal to the square of the ratio of their radii.

Therefore, if the ratio of the areas of A and B is 4, then the ratio of the radii of A and B is the square root of 4, which is 2.

In other words, if the radius of circle A is rA and the radius of circle B is rB, then:

Area of A / Area of B = (rA)^2 / (rB)^2 = 4

Taking the square root of both sides, we get:

rA / rB = 2

So, the ratio of the radii of A and B is 2.

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Answer:

Option A: The solution is incorrect because the student did not correctly identify the intersection.

Step-by-step explanation:

Solve by elimination method.

5x + 2y = 10; -10x + 2y = 1

Multiply the second equation by -1, then add the equations together.

(5x + 2y = 10)

-1 (-10x + 2y = 1)

Forms:

5x + 2y = 10

10x - 2y = -1

Add these equations to eliminate y.

15x = 9

Then solve 15x = 9 for x:

15x = 9

15/15 = 9/15 (Divide both sides by 15)

x = 3/5

Now that we've found x let's plug it back in to solve for y.

Write down the original equation:

5x + 2y = 10

Substitute 3/5 for x in:

5x + 2y = 10:

5(3/4)+2y=10

2y+3=10

2y+3-3=10+-3

2y=7

2y/2 = 7/2

y = 7/2

x = 3/5 and y = 7/2.

Comparing the identified answers to the one found by the students, it can be concluded that Option A: The solution is incorrect because the student did not correctly identify the intersection.

Answer:

5.  x = 60

6.  F' (1, 4)

Step-by-step explanation:

5.  The angles shown are same side exterior angles, so they are supplementary (add to 180)

(x + 85) + 35 = 180

x + 120 = 180

x = 180 - 120 = 60

x = 60

6.  The line x = 1 is a vertical line, passing through the x=axis at (1, 0).  All x coordinates on this line equal 1.

The point F (3,4) is reflected in the line x = 1 at the point F' (1, 4)