ABC DEF




AB corresponds to DF.
True
False

Answer:

[tex]x = 39\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]Total\ Distance = 124\ miles[/tex]

[tex]First\ hour = 45\frac{1}{2}[/tex]

Required

Determine the distance covered in the last hour

Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.

So:

[tex]First\ Hour + Second\ Hour + Third\ Hour = Total[/tex]

[tex]45\frac{1}{2} + x + x = 124[/tex]

[tex]45\frac{1}{2} + 2x = 124[/tex]

Collect Like Terms

[tex]2x = 124 - 45\frac{1}{2}[/tex]

[tex]2x = 124 - \frac{91}{2}[/tex]

Take LCK

[tex]2x = \frac{248-91}{2}[/tex]

[tex]2x = \frac{157}{2}[/tex]

Divide both sides by 2

[tex]x = \frac{157}{2} * \frac{1}{2}[/tex]

[tex]x = \frac{157}{4}[/tex]

[tex]x = 39\frac{1}{4}[/tex]

Hence, the distance in the third lap is: [tex]x = 39\frac{1}{4}[/tex]

Answer:

The answer is 76.

Step-by-step explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

Therefore, 3x + 8 = 5x - 12

☆Let's solve that equation.

[tex]3x + 8 = 5x - 12 \\ \frac{ - 5x \: \: \: \: \: \: \: = - 5x \: \: \: \: \: \: \: \: }{ - 2x + 8 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: - 8 = - 8}{ \frac{ - 2x}{ - 2} = \frac{ - 20}{ - 2} } \\ x = 10[/tex]

We found the value of x which is 10.

☆Let's Now plug in.

[tex]DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38[/tex]

and the other:

[tex]EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38[/tex]

☆They asked for what the angle of DGF measured. So we would have to add both sides

[tex]38 + 38 = 76[/tex]

☆The answer is 76

Answer:

2160 cm

Step-by-step explanation:

9x5x4x12=2160 :)

Answer:

42

Step-by-step explanation:

Divide the shape into a square and a triangle.

The area of the square would be 4×9 which is 36.

The area of the triangle will be 3*4/2=6

Add them to get 42

Answer:

A. 136 degrees

Answer:

it was 88 for me

Step-by-step explanation:

Answer: Yes, it is in the blue shaded area

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

13 ( 2 x − 1 )

Step-by-step explanation:

Factor  13  out of  26 x − 13

Answer:

13 ( 2x-1 ) hope this helps !!!!

Step-by-step explanation:

Answer:A:0

Step-by-step explanation:hope this helps :)

Answer:

2f + 2e

Step-by-step explanation:

4f -2f = 2f

3e - 1e = 2e

2f + 2e

Answer:

$17250

Step-by-step explanation:

15/100=0.15

0.15x15000=2250

2250+15000=17250

Answer:

To get a function of degree 5, either functions of degree 1 and 4 or functions of degree 2 and 3 should be multiplied.

This function will have a total of 5 zeros, same as its degree.

The function of degree 5 will have at least one and up to five real zeros

The rest of the zero's are imaginary.

So if has 2 real zeros, then the remaining 3 will be imaginary.

Maximum number of imaginary zero's is 4.

Answer:

W=-1

Step-by-step explanation:

Answer:

Option A is correct.

Step-by-step explanation:

Given

To determine

What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values m = 1/4 and the point (4, -8)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-8\right)=\frac{1}{4}\left(x-4\right)[/tex]

[tex]y+8=\frac{1}{4}\left(x-4\right)[/tex]

Subtract 8 from both sides

[tex]y+8-8=\frac{1}{4}\left(x-4\right)-8[/tex]

[tex]y=\frac{1}{4}x-1-8[/tex]

[tex]y=\frac{1}{4}x-9[/tex]

Writing the equation in the standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

so

[tex]y=\frac{1}{4}x-9[/tex]

[tex]x=4y+36[/tex]

[tex]x - 4y = 36[/tex]

Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:

[tex]x - 4y = 36[/tex]

Hence, option A is correct.

This is an incomplete question, the correct question is given below.

Find the missing number of each unit rate [tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex]

Answer : The missing number of each unit rate of [tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex] are, 3 and 4 respectively.

Step-by-step explanation :

As we know that a unit rate is a rate in which 1 is present in denominator.

Or we can say that,

A unit rate is also called a single unit rate that means it will compare 1 unit of some quantity to a different units of a different quantity.

As we are given that that unit rates:

[tex]\frac{15}{5}=\frac{?}{1}[/tex] and [tex]\frac{24}{6}=\frac{?}{1}[/tex]

Now we have to determine the missing number of each unit rates.

So, we can write the given expression as:

[tex]\frac{15}{5}=\frac{?}{1}[/tex]

When are dividing 15 by 5, we get:

[tex]\frac{15}{5}=\frac{3}{1}[/tex]

Thus, the missing number is, 3

And

[tex]\frac{24}{6}=\frac{?}{1}[/tex]

When are dividing 24 by 6, we get:

[tex]\frac{24}{6}=\frac{4}{1}[/tex]

Thus, the missing number is, 4

Answer:

c=3√5

Step-by-step explanation:

it appears the vertices of the inscribed quadrilateral,cuts the edges of the square at certain points that form right angles,with C being the hypotenuse.

c=√3²+6²

c=√9+36

c=√45=3√5

Answer:

-387

Step-by-step explanation:

First term (T1) = -21 = a

second term (t2) = - 27

common difference (d) = t2 - t1 = - 27 + 21 = - 6

Now

Tn = a + ( n - 1) d

T62 = - 21 + ( 62 - 1 ) - 6

= - 21 -366

= -387

Answer: 6m²

Step-by-step explanation:

Area of triangle: 1/2 × b × h

b = 3     h = 4

1/2 × 3 × 4 = 1/2 × 12 = 6

Answer:

Well going with the answer mathematically, it would take 2.5 hours for 2 people to cut the grass.

Answer:

12

Step-by-step explanation:

The interquartile range is the difference between the value at the right side of the box and the left side of the box, that is

interquartile range = 85 - 73 = 12

Answer:

1.052

Step-by-step explanation:

Add 1 to the percent increase.

1 + 5.2% = 1 + 5.2/100 = 1 + 0.052 = 1.052

Answer: 1.052

Answer:

1. No solution

2. All real numbers

3. Always true

Step-by-step explanation:

Answer: look at the picture and you will see the answer, for the numbers 3 -2(5+6n)<6(8-2n) it all real numbers are solutions.

Step-by-step explanation: hope this help

Answer:

Step-by-step explanation

∠MJH = 180 - 145

           = 35°

Assuming the two angles form a straight line then the measure of the other angle is 35°

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50 is equal to 180°

Given here, m∠HJM = 145° then m∠MHJ = 180° - 145°

                                                                   = 35°

Hence the measure of the angle is 35°

Learn more about supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

Answer: b) angle OPN and angle TSU

=========================================================

Explanation:

Each answer choice involves angle OPN, so the other angle must be based off this. The other angle is TSU because these two angles are on alternating sides of the transversal line UN.

Angle OPN and angle TSU are also exterior angles because they are on the outside region of the parallel lines OQ and RT.

So combine the two concepts and we can say that angles OPN and TSU are alternate exterior angles. The other alternate exterior angle pair is angle USR and angle NPQ.

Due to the parallel lines, the alternate exterior angles are congruent.

Answer:

c 2and7

Step-by-step explanation:

1 to 2 to 3 to 4 the789

Answer:

i will help

Step-by-step explanation:

2 hours=21.50

3 hours= 32.25

4 hours= 43.00

Answer:

2 - 21.5

3 - 32.25

4 - 43

Step-by-step explanation:

10.75 × 2 = 21.5 ÷ 2 = 10.75

10.75 × 3 = 32.25 ÷ 3 = 10.75

10.75 × 4 = 43 ÷ 4 = 10.75

Answer:

Marcus is wrong.

Step-by-step explanation:

As we see from the figure the angles ORP and PRM makes 180 degrees or are supplementary angles.

Marcus is wrong because a linear pair has a sum equal to 180 degrees.

But if we observe carefully the angles ORP and LRP don not together make an angle of 180 degrees. Also these angles do not have opposite rays .

Therefore angles PRM and ORP are linear pair angles but angle ORP and angle LRP are not a linear pair.

These angles do not have opposite arms as uncommon sides .

The linear pair must have

1) 180 degrees

2) opposite rays as uncommon sides

3) common vertex

Answer:

He is incorrect. Ray RO and ray RL are not opposite rays.

Step-by-step explanation:

Marcus is incorrect. In order for angles to be a linear pair, the rays of the angles that don't have a common side point, need to be opposite. This is not true for rays RO and RL, so Marcus's statement is not true.

Answer:

The percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.

Step-by-step explanation:

The percentage of school time missed by the average student during 2009/2010 school year in Detroit can be calculated as follows:

Percentage of school time missed = (Average number weeks of school missed / Total number of weeks in a school year) * 100 ................... (1)

Where;

Average number weeks of school missed = 9

Total number of weeks in a school year = 39

Substituting the values into equation (1), we have:

Percentage of school time missed = (9 / 39) * 100

Percentage of school time missed = 0.230769230769231 * 100

Percentage of school time missed = 23.0769230769231%

Rounding to 2 decimal places, we have:

Percentage of school time missed = 23.08%

Therefore, the percentage of school time missed by the average student during 2009/2010 school year in Detroit is 23.08%.

Answer:

YES

Step-by-step explanation:

Area of the largest square = Sum of area of the smaller squares

13² = 12² + 5²

169 = 144 + 25

169 = 169

TRUE

This proves the Pythagoras theorem in a right angle triangle.

(Hypotenuse)² = (leg 1)² + (leg 2)²

Therefore, answer is YES.