ABCD ~ JKLM. Write a proportion containing BC and JM

9514 1404 393

Answer:

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

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This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°

4

Step-by-step explanation:

The green line has a slope of because it is parallel with the red line

Lines which are parallel have same slope

Answer:

[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes ⅕. Now, proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Answer is in the image, proof also has given

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

Answer:

Step-by-step explanation:

[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]

[tex]v+w[/tex]

[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]

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Answer:

(8,0)

Step-by-step explanation:

could be negative 8 but it said positive 8

positive works

The required reflection of the point (0, -8) on the line y = -x is (8, 0).

To determine the image of (0, -8) after a reflection over the line y = -x.

the equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
For the image of the point of the line y = -x
The reflection of point (0, - 8) is given as by swaping the value and change the sign, So the image of the point is (8, 0).

Thus, the required reflection of the point (0, -8) on the line y = -x is (8, 0).

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Answer:

  A.  2/(1 -x)²

Step-by-step explanation:

The derivative of a ratio is given by the formula ...

  d(u/v) = (v·du =u·dv)/v²

Here, we have ...

  u = 1+x; du = 1·dx

  v = 1 -x; dv = -1·dx

Then ...

  [tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]

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Additional comment

The formula used above is a combination of the power rule and the product rule.

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

• Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

• Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

Answer:

10

Step-by-step explanation:

Answer:

option D.

Step-by-step explanation:

1) cosx=cotx;

[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]

[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]

where n,k∈Z;

2) if x∈[0;2π], then x=π/2; 3π/2.

Note, the greek letter 'Θ' is replaced with 'x'.

Answer:

π/2, 3π/2

Step-by-step explanation:

Given :-

To Solve :-

Solving :-

Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

Answer:

270°

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Answer:

2one

Step-by-step explanation:

Answer:

You should multiply 5.5 by 7 and it is equal to 38.5 so it is D

explanation:

did the test hope this helps! :D

The constant of proportionality of the given condition is 5.5.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Matthew and Rosa's constant of proportionality is K.

Now,

Matthew bought 2 movie tickets for $11.

So,

11 ∝ 2

11 = K 2 ⇒ K = 5.5

Now,

Rosa bought 7 movie tickets for $38.50.

So,

38.50 ∝ 7

38.50 = K 7 ⇒ K = 5.5

Hence "The constant of proportionality of the given condition is 5.5".

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Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]

[tex]\\ \rm\Rrightarrow 13:12[/tex]

#2

Ratio

[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]

[tex]\\ \rm\Rrightarrow 12:25[/tex]

Answer:

a) 13:12

b) 12:25

Step-by-step explanation:

a) ratio of girls to boys

260:240 or 13:12

b) ratio of boys to the total number of pupils

240:(240+260) or 240:500 or 12:25

The basic way to find this is by simplifying.

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Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

y=7/4x-3 or y=1.75x-3

Answer:

B) 1 8/27

Step-by-step explanation:

First, change all mixed fractions into improper fractions:

2 1/3 = 7/3

1 4/5 = 9/5

7/3 ÷ 9/5

Next, flip the second fraction, and change the division sign into multiplication:

7/3 x 5/9

Multiply across:

7/3 x 5/9 = 35/27

Change into a mixed fraction:

35/27 = 27/27 + 8/27

1 8/27 is your answer.

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Answer:

C. There is a $2 fee to park, before the number of hours are factored in.

Step-by-step explanation:

Given that the equation, [tex] y = 3x + 2 [/tex], represents total cost charged for at a parking lot for customers to park their car, thus:

the "x" represents the number of hours,

3 represents the charged fee per hour

2 represents the flat fee charged, which is the starting fee, before the number of hours is calculated and added.

Therefore, the answer is "C. There is a $2 fee to park, before the number of hours are factored in."

Hey there!

Answer: 25% of participants are females

Add both M and F = 200

50 + 50 + 50 + 50 = 200

=> 50 + 150 = 200

each 50 is 25% of 200

Therefore, the percentage of females in the race is 25%

Answer:

50+150=200

female=50

50÷200×100=25%

percentage of female=25%

Answer:

15

Step-by-step explanation:

first you divison

18 ÷ 3

which equals 6

then you add 9

which equals 15

Answer:

15

Step-by-step explanation:

use PEMDAS so divide 18 by 3 first and the add it to 9

Answer:( 8,8)

Step-by-step explanation:

Answer:

length of AB is 10

Step-by-step explanation:

rise=8

run=6

[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]

[tex] \sqrt{100} = 10[/tex]

Answer:

This depends on the person, try measuring how many calories you eat in 1 day. By gathering that information you can determine if you are either eating more calories or less

Answer:

A. y=-2x+1

Step-by-step explanation:

rise over run rise(up or down) 2 run(right or left) 1

Answer:

i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000

estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000

also i'm very sorry if this didn't help you! but i really hope this did help you out a little

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24