Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °

Step-by-step explanation:

you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25

Answer:

  y = -2x -5

Step-by-step explanation:

The line crosses the y-axis at -5. So, b = -5.

It goes down 2 units for each 1 unit to the right, so has a slope of ...

  m = rise/run = -2/1 = -2

__

The slope-intercept form of the equation of a line is ...

  y = mx +b      where m is the slope and b is the y-intercept

For the slope and y-intercept shown, the equation is ...

  y = -2x -5

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]

Total distance = 50 miles

For total time:

[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]

Total time = 1 hour

Mathematically, average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]

Average speed = 25 mph.

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Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]

Answer: c, b, a, d

Step-by-step explanation: that is correct

Answer:

150 inches

Step-by-step explanation:

Vincent sketch is a rectangle

10 inches by 15 inches

Length=15 inches

Width=10 inches

If each dimension is tripled

Then,

Length=15*3=45

Width=10*3=30

Perimeter of the new drawing=2(length+width)

=2(45+30)

=2(75)

=150 inches

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

Answer:

It is an acute angle due to the angle formed at the vertex being less than 90 degrees

Answer:

acute triangle

Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Answer:

Step-by-step explanation:

(4^2/5)^1/4

first multiply the exponent

2/5*1/4=2/20=1/10

4^1/10= 10√4(the ten is on the top to the square root)

The equation that has the steepest slope is y = -14x + 1

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

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Answer:

Y=-14x+1

Step-by-step explanation:

Answer:

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Step-by-step explanation:

Given

Number of male = m

Number of female = f

Average salary = 2000

Average Salary of male = b + 200

Required

Average salary of female

Average is calculated as follows;

[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]

For the whole company;

The formula becomes

[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]

Multiply both sides by m + f

[tex]2000(m+f) = Total\ Salary[/tex]

The total salary is the sum of the male salary and female salary;

In other words;

Total Salary = Male Salary + Female Salary;

The above expression becomes

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1

For the male staffs;

[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]

[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]

Multiply both sides by m

[tex](b+200)m = Male\ Salary[/tex]

Substitute (b + 200)m for Male Salary in equation 1

[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]

[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]

Subtract both sides by (b + 200)m

[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]

[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]

At this point, the average monthly salary of female staffs can be calculated;

[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]

[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]

Answer:

(x + 3)(2x + 5)

Step-by-step explanation:

Given

2x² + 6x + 5x + 15 ← grouping the terms

= (2x² + 6x) + (5x + 15) ← factor each group

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5) ← in factored form

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

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Answer:

              multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Step-by-step explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so:   -4y = -20

Answer:

Multiply the second equation by −3 to get −3x − 9y = −30.

Step-by-step explanation:

Answer:

All negative numbers

Step-by-step explanation:

They are not whole numbers

Answer:

0

Step-by-step explanation:

Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0

Answer:

The answer is option A.

Hope this helps you

Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

-25W = −750

W = 750/25 = 30

Therefore;

W = 30

65 - W = 65 - 30 = 35

Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

Answer:

2/3

Step-by-step explanation:

26/39

26 and 39 are multiples of 13.

Simplify the fraction.

26 ÷ 13 / 39 ÷ 13

⇒ 2/3

Answer: x = 41°

Step-by-step explanation:

The sum of the angles in a triangle equals 180°.

To find the missing angle, subtract the sum of the two given angles from 180.

101 + 38 = 139

180 - 139 = 41

x = 41°

The size of the angle at the bottom left of the triangle is 41°.

A triangle is a geometric figure which has three edges and three vertices. The sum of a triangle's three angles is 180°.

Given that the two angles of the triangle are 38° and 101°. We have to find the size of the other angle which is at the bottom left of the triangle. Let the size of the angle be x°.

We have to solve the equation:

x + 38 + 101 = 180

i.e. x = 180 - (38 + 101) = 180 - 139 = 41°

Therefore, the size of the angle at the bottom left of the triangle is 41°.

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Answer:

[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]

Step-by-step explanation:

Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:

[tex]y-k = C\cdot (x-h)^{2}[/tex]

[tex]y = C \cdot (x-h)^{2} + k[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.

[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).

After reading the statement of the problem, the following conclusion are found:

1) New function must have an absolute minimum: [tex]C > 0[/tex]

2) Transformation to the right: [tex]h > 0[/tex].

3) Transformation downwards: [tex]k < 0[/tex]

Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].

Answer:

Choice D

Step-by-step explanation:

Took the test

Answer:

c

Step-by-step explanation:

Answer:

Both a relation and a function

Step-by-step explanation:

Replicates itself every 14 minutes, which is exponential function

Answer:

A) if and only if a = 0

Step-by-step explanation:

Since Z1 = 12 + 6݅  and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)

Z1Z2 = (12 + 6)(a + bi)

Expanding the brackets, we have

Z1Z2 = 12a + 12bi + 6a + 6bi

Collecting like terms, we have

Z1Z2 = 12a + 6a + 12bi +6bi

Z1Z2 = 12a + 6a + (12b +6b)i

Simplifying, we have

Z1Z2 = 18a + 18bi

For Z1Z2 to be imaginary, then the real part must be zero.

That is 18a = 0 ⇒ a = 0

So, Z1Z2 is imaginary if and only if a = 0

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years