2.
Fill in each missing reason.
Given: 10x - 4y= 1; X = 2
Prove: 19/4=y

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Answe

Step-by-step explanation:

1 cup will fills double than 1/2 cup, so:

With 1 cup you will be able to fills 4/3, in other words 1 full container and 1/3 of another.

The question that will result in discrete quantitative data is:

how much did you spend at the movies today?

Discrete quantitative data refers to data that can take only a given set of numeric values (not like continuous quantitative data, where the data can take "any real value").

So, a question like "what genre of movie is your favorite?" is not the correct option, because the answer to that question will not be a number.

"did you order anything from the concession stand?" The answer to this question is also not a number, so this is also wrong.

Now, the correct option is "how much did you spend at the movies today?".

Here the answer will be a quantity (a number) and that number only can be a multiple of the objects that are sold on the cine theater (food, tickets, etc) so that number belongs to a discrete set.

Thus, we conclude that this question is the correct option.

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Answer:

C) How much did you spend at the movies today?

Step-by-step explanation:

edge 2023

Answer:

1. a = -9

2.p=4

3.r=7

4. a = -14/9

5.  k = -2

6.y=3

7.k=-12

8. x = -12

9. n = 0

10. x=0

11.x=4

Answer:

Step-by-step explanation:This is a standard question which is to be answered according to the definition.If any complex number is written in the form of an ordered pair (a, b), it is written as'z = a + ib.Here, a=3 and b=4Hence, z=3+4i

Answer:

4 months

Step-by-step explanation:

The first planet we know grow 3 inches per month and starts at 6 inches. While the second plant is 2 inches and grows 4 inches per month, as 50-2 (the start of the inches) = 48. 48/12 months = 4 inches per month.

With this information we can slowly add up the time.

1st Month

Planet 1: 9 inches

Planet 2: 6 inches

2nd Month

Planet 1: 12 inches

Planet 2: 10 inches

3rd Month

Planet 1: 15 inches

Planet 2: 14 inches

4th Month

Planet 1: 18 inches

Planet 2: 18 inches

Answer:

1/2

Step-by-step explanation:

Remaining fraction will be (1-3/8)=5/8

Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:

4/5 of 5/8

=4/5×5/8

=1/2

He delivered 1/2 (in fraction)

Answer: 9/4

Step-by-step explanation:

if you were to cover the whole wall you would need 9/4 gallons.

3/4x3/1

The solution to the given system of equations is r = 2 and m = 7

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

We start by multiplying the first equation by 2 to eliminate the variable "m" when we add the equations. The modified equations become:

1) 4r + 2m = 22

2) 6r - 2m = -2

Adding equation 1 and equation 2 eliminates the "m" term:

4r + 2m + 6r - 2m = 22 + (-2)

10r = 20

r = 2

Substituting the value of "r" into either of the original equations, we can solve for "m". Let's substitute it into the first equation:

2(2) + m = 11

4 + m = 11

m = 11 - 4

m = 7

Therefore, the solution to the given system of equations is r = 2 and m = 7.

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Car B will catch up with Car A at 4:45pm, after travelling for 2 5/8 hours (3 hours minus 1 hour minus 3/8 of an hour).

Car A leaves the Grand Canyon at noon and travels at 80 mph. At 3 pm, it stops for an hour. Car B leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping.To calculate when Car B will catch up with Car A, we need to find the time difference between their departure times and the difference in their speeds.Car A leaves one hour before Car B, so we can subtract 1 hour from the total travel time. The difference in their speeds is 10 mph, which is equivalent to 1/8 of an hour for every hour of travel. Therefore, we can subtract 1/8 of an hour from the total travel time for every hour of travel.We can use these two deductions to calculate the total travel time: 3 hours - 1 hour - 3/8 of an hour = 2 5/8 hours. Therefore, Car B will catch up with Car A at 4:45pm.

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Thus, the expected number of calls in one hour is 15.

To find the expected number of calls in one hour, we need to convert the rate of one call every four minutes into calls per hour.

There are 60 minutes in an hour, so we divide 60 by 4 to find the number of four-minute intervals in one hour.

60 minutes / 4 minutes = 15 intervals

Therefore, the rate of one call every four minutes translates to 15 calls per hour.

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The height of the building located at a distance from the tower is approximately 163.716 meters.

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

\(h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}\)

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. \(\blacksquare\)

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Answer:

Yes they are similar by SAS or side-angle-side Similarity Theorem

Step-by-step explanation:

Given

In Triangle UWV

WU=6

VU=4

In Triangle UST

US=9

UT=6

Solution

AngleWUV = AngleSUT as they are Vertically Opposite Angles

And

US/UW = UT/UV

or

9/6 = 6/4

which can be simplified into

3/2 = 3/2

Since the ratio of two sides and an angle is equal, TriangleUWV is similar to TriangleUST by Side-Angle-Side Similarity Theorem

Answer:

m<8=m<4=105

m<4=180-(4x-1)

=180-4x+1

105 =-4x+181

4x= 181-105

4x=76

X=19

m<6=180-105

=75

y-31=75

y =75+31

y=106

X+y=19+106

=125

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

The number of men using the gun is 8, using the given ratio of men to women as 2:1.

In the question, we are given that the ratio of men to women using a gun is 2:1, and a total of 24 people use a gun.

We are asked to find the number of men using the gun.

By the given ratio, we take the number of men using a gun to be 2x, whereas the number of women using a gun is x.

Thus, the total number of people using the gun = the number of men using a gun + the number of women using the gun,

or, the total number of people using the gun = 2x + x = 3x.

But, the total number of people using the gun is given to be 24.

Thus, we get an equation 3x = 24.

On solving this, we get:

3x = 24,

or, 3x/3 = 24/3,

or, x = 8.

Now, the number of men using a gun = 2x = 2*8 = 16.

The number of women using a gun = x = 8.

Thus, the number of men using the gun is 8, using the given ratio of men to women as 2:1.

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%=\(\frac{P*100}{CP}\)

=\(\frac{10*100}{280}\)

=\(\frac{1000}{280}\)

=3.57

Answer:

N9,375

Step-by-step explanation:

amount= N15,000.00

ratio= 5:3 (8)

Emeka's share =

\( \frac{5}{8} \times 15000.00 \\ = 9375 \: naira\)

D. 3

The absolute value is always even.

Answer:

reflection O translation​

The equation of the parallel line passing through (-2, 3) is y - 3 = -2(x + 2). When graphed on the same axis, the given line 6x + 3y = 18 and the parallel line y - 3 = -2(x + 2) show that they are indeed parallel.

a) The equation of the line parallel to 6x + 3y = 18 passing through the point (-2, 3) can be found by using the fact that parallel lines have the same slope. The given equation can be rewritten in slope-intercept form as y = -2x + 6, which means the slope is -2. Therefore, the equation of the parallel line can be obtained by plugging in the point (-2, 3) into the point-slope form, resulting in y - 3 = -2(x + 2).

b) Graphing both lines on the same axis allows us to visualize their relationship. The given line, 6x + 3y = 18, can be rearranged into the slope-intercept form as y = -2x + 6. This line has a slope of -2 and a y-intercept of 6. The parallel line passing through (-2, 3) has the equation y - 3 = -2(x + 2), which is the point-slope form. By plotting the points (-2, 3) and (0, 1) on the graph and connecting them, we can observe that the two lines are indeed parallel.

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Answer:

15 inches

Step-by-step explanation:

The shortcut for finding the side lengths on a 30°-60°-90° triangle is that the long leg is

the short leg × √3.

So for your question:

5√3 × √3

= 5 × √3 × √3

= 5 × 3

= 15

Just in case it comes up next, the other shortcut is that the hypotenuse is double the short leg. Hypotenuse =

2 × 5√3 = 10√3