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3 years ago

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Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

$\bf D. \leq A ~ and ~\leq F.$

$\sf \: The \: reason \: is \: because \: they \: lie \: vertically \: opposite \: to \\ \sf\: each \: other. \: Also, \: it \: is \: a \: proven \: statement \: that \\ \sf \: vertically \: opposite \: angles \: are \: equal \: each \: other. \: \\ \sf \: Hence \: \longrightarrow \underline{\bf D. \leq A ~ and ~\leq F} \: \sf \: is \: the \: correct \: option.$

storchak [24]3 years ago

3 0

Answer:

D. Is the correct answer

Step-by-step explanation:

As you can see Angle A and Angle F are Vertical Angles, Plus they are Congruent!

Hope this helps your little sister!

Have a great day!

Plus Aizawa is Here!

You might be interested in

Savannah earns $247.00. How many hours did she work?

vivado [14]

Answer:

1. 8.25

2. Savannah

Earnings of Savannah: $190

Earnings of Greg: $180

Earnings of Kevin: $165

4. 26 Hours

5. 55.55 hours (or 56 hours)

Step-by-step explanation:

Full Question Shown in the Image Attached.

Constant of Proportionality is the constant value (k) of two proportional quantities.

Here, it is hours vs. wage.

It is usually y divided by x.

In this problem, hours worked is "x" and wage is "y". We can take the first row of Kevin's wages from table and find the constant of proportionality.

$\frac{Wage}{Hour}=\frac{16.5}{2}=8.25$

Thus, the constant of proportionality is 8.25

We can find the highest hourly wage by first finding the unit rate, or the hourly wage for each person. Then we will compare between the 3 person.

For Savannah:

We divide the total wage (Earned Column) divided by Hours.

$\frac{19}{2}=9.5$

Hourly wage is 9.5

For Greg:

We do the similar division shown below:

$\frac{27}{3}=9$

Hourly wage is 9

For Kevin:

Again, doing the same process, we get:

$\frac{16.5}{2}=8.25$

Hourly wage is 8.25

By comparing the hourly wages of 3 people, we see that the highest hourly wage is that of Savannah's.

We know hourly wage for each person. To know how much each one makes if they work 20 hours, we have to multiply 20 with their respective hourly wages.

Earnings of Savannah: 20 * 9.5= $190

Earnings of Greg: 20 * 9 = $180

Earnings of Kevin: 20 * 8.25 = $165

Since she earn's $247 and her hourly wage is 9.5, we can find the hours she worked by dividing her earnings (247) by the hourly wage (9.5). Hence,

$\frac{247}{9.5}=26$

Thus, Savannah worked 26 hours

For Greg to earn 500 dollars, we need to divide his earnings (500) by his hourly wage, which is $9 per hour. Thus we have:

$\frac{500}{9}=55.55$

So, Greg needs to work 55.55 hours to earn $500. If fractional hours are not possible, then Greg needs to work 56 hours.

7 0

3 years ago

Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h

Taya2010 [7]

We start off with 50 as our room temperature.

Then we subtract off 4h to indicate the temperature drops 4 degrees per hour

You can think of it like this

1 hour = drop by 4 degrees

h hours = drop by 4h degrees (multiply both sides by h)

So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after

Solving for h leads to

50-4h < 32

-4h < 32-50 ... subtract 50 from both sides

-4h < -18

h > -18/(-4) ... divide both sides by -4; note the inequality sign flips

h > 4.5

If you go beyond 4.5 hours, then the temperature will be below 32 degrees

notes:

4.5 hours = 4 hours, 30 minutes = 270 minutes
the inequality sign flips whenever you divide both sides by a negative number

6 0

3 years ago

Read 2 more answers

What’s the slope (rate of change) for the red?

ZanzabumX [31]

Um I think it is 2,1 count over 2 then go up1

8 0

3 years ago

2) A bike racer completed a 20.0 kilometer race. She pedaled the first 5.0 kilometers with an average speed of 20.0 km/hr. She p

MakcuM [25]

Answer:

Step-by-step explanation:

Time = distance/speed

Considering the first stage,

Speed = 20km/hr

Distance = 5km

Time = 5/20 = 0.25 hour

Considering the second stage,

Speed = 10km/hr

Distance = 5km

Time = 5/10 = 0.5 hour

Considering the third stage,

Speed = 25km/hr

Distance = 5km

Time = 5/25 = 0.2 hour

Considering the third stage,

Speed = 20km/hr

Distance = 5km

Time = 5/20 = 0.25 hour

Therefore, the time it took the biker to complete the race is

0.25 + 0.5 + 0.2 + 0.25 = 1.2 hours

8 0

4 years ago

F(x)=4x+3x g(x)=2x-5 find (f-g)(x)

HACTEHA [7]

F(2x-5)=14x-35
G(4x+3x)=14x-5

6 0

4 years ago