Angles ABC and DEF are complementary angles. If m/ABC = 72°, what is m/DEF?

Answer:

Gradient of parallel line: 6

Gradient of perpendicular line: -1/6

Step-by-step explanation:

The gradient is the value of m in the equation format y = mx + c.

Parallel lines share the same gradient, with just the y-axis intercept (c value) changing.

The gradient of a line perpendicular to a line is found by taking the negative reciprocal of the original line's gradient. A reciprocal is a essentially fraction flipped over. For example 3/2 becomes 2/3. 6 can be expressed as 6/1 (as every whole number can be divided by 1), so the reciprocal of that is 1/6. The negative version of 1/6 is -1/6.

Answe[tex]10c^{2} +5c+4[/tex]

Step-by-step explanation:

Step 1 -(((6•(c2))-2c)-1)+((22c2+7c)+5)

Step 2-(((2•3c2) -  2c) -  1) +  (4c2 + 7c + 5)

in conclusion, you get [tex]10c^{2} +5c+4[/tex]

I hoped i have helped u have a wonderful day or night !

Step-by-step explanation:

since the process is defined by a constant term plus a variants term, the equation looks like

costs(c) = k + a×c

3,740,000 = k + 400a

7,000,000 = k + 1000a

let's simply subtract the guys from the second equation

7,000,000 = k + 1000a

- 3,740,000 = -k - 400a

------------------------------------

3,260,000 = 0 + 600a

600a = 3,260,000

a = 5,433.333333... 5,433 1/3

3,740,000 = k + 400×5,433.333333...

k = 3740000 - (400×5,433.333333...) =

= 1,566,666.66666...

so, the function is

costs(c) = 1,566,666.66666... + 5,433.333333... × c

therefore,

costs(2500) =

= 1,566,666.66666... + 5,433.333333... × 2500 =

= sh 15,150,000

By addition of all the exercise and substracting it from 1 hourJavier runs on treadmill on Monday is 0.40 hour.

Now According to the question javier completed 3 repetitions of each exercise so by multiplication time taken by javier to complete each exercise is as follow;

Squats = 0.8*3= 0.24 hour

Crunches = 0.03*3 = 0.09 hour

Lunges = 0.04*3 = 0.12 hour

curls = 0.05*3 = 0.15 hour

we can calculate total time taken to complete all exercise by Addition is,

0.24 + 0.09 + 0.12 + 0.15

0.60 hour

time taken on treadmill by javier;

1 hour - 0.60 hour

0.40 hour

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Answer:

Step-by-step explanation:

h(t)=-5t²+10t+80=-5(t²-2t+1-1)+80

=-5(t²+2t+1)+5+80

=-5(t-1)²+85

maximum height reached=85 ft

The Area of the trapezoid in the image attached below is: 204 units².

To find the area of a trapezoid, the following formula is used:

Area of trapezoid = 1/2 × (a + b) × h, where h is the height of the trapezoid, and a and b are the length of the two parallel bases of the trapezoid.

Given the trapezoid in the image attached below, we have the following parameters:

a = 10

b = 24

h = 12

Area of trapezoid = 1/2 × (10 + 24) × 12

Area of trapezoid = 1/2 × (34) × 12

Area of trapezoid = 34 × 6

Area of trapezoid = 204 units²

Therefore, the Area of the trapezoid in the image attached below is: 204 units².

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Answer:

look at the multiple of 3 and seven and find which number in the 7 multiple equal 14 more.

The value of angle A is 60.

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

We have the angles as:

∠H = 2x + 60

∠T = x + 30

Now, HALT is a parallelogram.

Therefore, angles H and T are supplementary.

So,

∠H + ∠T = 180

2x + 60 + x + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = 90 / 3

x = 30

Substituting the value of x in the angles, we get:

∠H = 2x + 60

∠H = 2(30) + 60

∠H = 60 + 60 =120

∠T = x +30

∠T = 30 + 30

∠T = 60

Now, angles T and A are congruent angles.

Therefore, ∠T = ∠A

∠A = 60

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Answer:

3(x+1)

Step-by-step explanation:

The perimeter of triangle is equal to sum of all side of triangle.

perimeter of triangle=(x-3)+x+(x+6)

on simplify

=3x+3

=3(x+1)

so, perimeter of triangle is equal to

=3(x+1)

The equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:

Given the graph in the diagram, it would have a positive slope and a negative y-intercept.

A. -4x + 2y = -6

Rewrite in slope-intercept form

2y = 4x - 6

y = 4x/2 - 6/2

y = 2x - 3 [positive slope and negative y-intercept]

B. 2x - 3y = -9

Rewrite in slope-intercept form

-3y = -2x - 9

y = 2/3x + 3 [positive slope and positive y-intercept]

C. y = 3x - 2 [positive slope and negative y-intercept]

D. y = -10 is a horizontal line.

Therefore, the equations that could represent the graph shown are:

A. -4x + 2y = -6

C. y = 3x - 2

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Answer: 3:12    math is power

Answer:

3:12

Step-by-step explanation:

not sure if you have to reduce but if you have simplify it it would be 1/4

Answer:

(-2,-2)

Step-by-step explanation:

For a cartesian plane, the solutions to 2 lines is where the 2 lines intercept.

Where this interception point is put into a coordinate (x,y)

Which in this case, the point of intersection is found to be (-2,-2) (Read from the graph)

Answer:

Hello,

Step-by-step explanation:

The time they travel is t=6 hours

v is rate of the fastest train

v-2 the slower one.

v*t+(v-20)*t=900

2vt-20t=900

12v-120=900

12v=900+120

v=1020/12

v=85 (mi/h)

v-20=65 (mi/h)

The equation of the translated graph is g(x) = |x + 2| + 1

The parent function is given as

f(x)= |x|

From the graph, we can see that the parent function f(x) is translated as follows:

This is represented as

(x, y) = (x + 2, y + 1)

So, we have

g(x) = |x + 2| + 1

Hence, the equation of the translated graph is g(x) = |x + 2| + 1

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Answer:

7.8 miles

Step-by-step explanation:

5.9 + 1.9 = 7.8miles

Eight thousand two hundred and eighty two

answer:

[tex]15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8[/tex]

Answer:

Step-by-step explanation:

I believe you need to just combine like terms:

5 + 7x +10 = -41

Try to get the 7x alone:

7x + 15= -41

To get 7x alone completely have it alone on the side move the 15 to the other side of the =.

7x +15 = -41

    -15     -15

you'll get

7x= -55

then you need to get x all alone so divide the 7from both sides

7x=-55

/7    /7

Your solution will be:

x=-7.857 round to whichever place you need

The value of x if U is between T and V is -7/3

The given parameters are:

U is between T and V,

TU = 7x + 35

UV = 4(x + 7)

TU ≅ UV

The above means that

7x + 35 = 4(x + 7)

Open the brackets

7x + 35 = 4x + 28

Evaluate the like terms

3x = -7

Divide both sides by 3

x = -7/3

Hence, the value of x if U is between T and V is -7/3

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Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.

Measurement of 0.13m^3 to be converted to kg using the table.

To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.

You can use the conversion formula :

kilograms = cubic meters × density of the ingredient × 1000

According to the table given 1 m^3 = 1 KL = 1000 kg

Here, we are given 0.13m^3,

which means it equals = 0.13 KL

and hence it equals  0.13 * 1000 = 130kg

So, 0.13m^3 = 130 kg.

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Answer:

this is hard , I suggest you see a tutor

Step-by-step explanation:

58 multiple 4

..................

Answer:

55.2 miles

Step-by-step explanation:

6.9 x 8 = 55.2

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

Answer:

x = 5.4

Step-by-step explanation:

6.3 = 2x-4.5  

2x = 6.3 + 4.5 = 10.8  

x= 5.4

Answer:

5.4is the value if x

Step-by-step explanation:

6.3=2x-4.5

6.3+4.5=2x

10.8=2x

10.8/2=x

5.4=x

So,x=5.4

Using proportions, it is found that the weekly amounts are given as follows:

We have to determine for Lucretia these following weekly amounts:

The rates are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Lucretia's weekly salary is given as follows:

20 x 18.15 = $363.

The withholding allowance is fixed at $33 for a person earning her amount, while the tax rate is of 37%, as she lives in a state with no income tax, hence she only pays the federal tax rate.

The other amounts are given as follows:

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Answer:

x=0

Step-by-step explanation:

:)

Answer:

[tex]{ \tt{ \frac{3}{2}(6x + 2) = - 3(x - 1) }} \\ \\ { \tt{3(3x + 1) = - 3(x - 1)}} \\ { \tt{3x + 1 = - (x - 1)}} \\ { \tt{3x + 1 = - x + 1}} \\ { \tt{3x + x = 0}} \\ { \tt{x = 0}}[/tex]

Answer:

Step-by-step explanation:

sin2x = cosx + l

This can be written as:

2 sinxcosx = cosx + 1

One way would be to draw graphs of sin2x and cosx + 1 and see where they intersect.

Another way is to use y = tan(x/2),  then sinx = 2y/(y^2+1) and cos x

= (-y^2 + 1) / (y^2 + 1) to substitute into the given equation and solve for y.

The algebra will be pretty challenging in this method.

Answer:

It is incorrect. It is supposed to be set at -8 to 9 but instead it is at -8 to 7.

The decimal should go up 2 places higher!

Step-by-step explanation:

The Density of the given plank with dimensions is; 33.82 kg/m³

We are given;

Length of plank = 2.3 meters

Width of plank = 30 cm = 0.3 m

Height of Plank = 3 cm = 0.03 m

Mass of plank = 0.7 kg

Now, formula for density = mass/volume

Volume of the plank is gotten from the formula;

Volume = Length * width * height

V = 2.3 * 0.3 * 0.03

V = 0.0207 m³

Thus;

Density = 0.7/ 0.0207

Density = 33.82 kg/m³

Thus, we can conclude that the Density of the given plank with dimensions is 33.82 kg/m³

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Answer:

the answer is 12 just =12

Step-by-step explanation:

the answer is, if it's correct y=4