How do I find the equation of the line?

Therefore, the number is 50.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

x =20

Step-by-step explanation:

m∠2 ≅ m∠6 because they are corresponding angles

m∠6 ≅ m∠7 because they are vertical angles

∴ m∠2 ≅ m∠7 by substitution

4x+7 = 5x-13

7 = x-13

20 = x

The value of x is 20.

Vertical angles are angles opposite each other where two lines cross.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.

According to the given question.

We have

m ∠2 = 4x + 7

and m ∠7 = 5x - 13

From the given figure we can say that

m ∠7 = m ∠6...(i)  (because they are vertically opposite angles)

and m ∠6 = m ∠2...(ii)   ( corresponding angles)

From (i) and (ii)

m ∠7 = m ∠2

⇒ [tex]5x - 13 = 4x + 7[/tex]

⇒ [tex]5x - 4x = 7 +1 3[/tex]

⇒ [tex]x = 20[/tex]

Hence, the value of x is 20.

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Answer:

the ration is 2:1 when simplified

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love y'all

Answer:

B)154

Step-by-step explanation:

98:7=x:11

x=154

Answer:

1/3=0.33 barred(the threes go on infinitly)

1/6=16666 barred(the sixes go on infinitly)

1/6 as a percent is 16.66% barred(the sixes go on infinitly)

Hope This Helps!!!

Answer:

A. 0.17 (rounded)

B. 16.7%

Step-by-step explanation:

Answer:

The answer is $242

Step-by-step explanation:

We can set up two equations for this one:

286 = 13 * (rate per hour)

divide both sides by 13:

22 = rate per hour

Then knowing her rate per hour is 22 dollars

22 * 11 hours of work = $242

At the same rate she will make $242 in 11 hours.

Kala made $286 for 13 hours of work . Therefore, let's find the rate.

Rate is simply the ratio between two values with different units. In our case, its the amount made in dollars versus the time taken to make that amount.

Therefore,

rate = amount made(dollars)/ time taken(hours)

rate = 286 / 13

rate = 22 dollars per hour

At the same rate the amount she will make in 11 hours can be calculated as follows:

rate  = amount / 11

22 = amount(dollars) / 11

cross multiply

amount(dollars) = 22 × 11

amount(dollars) = $242

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Answer:

1296cm².

Step-by-step explanation:

= 12×36×6÷2 ................

plz check weather correct or notn

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

Answer:

10,9

Step-by-step explanation:

On the coordinate plane you see that the point A has to go 6 to the right and 3 up. So the ratio is: for every 2 side, there is one up. Point A does this 3 times to get to M so do three times. 6 to the right and 3 up and B is on 10,9.

80,000

Just look at the number in the ten thousand place and check if you have to round up or down.

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

Answer:

The answer would be B!

Step-by-step explanation:

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

[tex]\frac{7^0+7^2}{(7^3)^2}=\frac{1+49}{7^6} = \frac{50}{117649}[/tex]

Ok done. Thank to me :>

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

Answer: 91.44

Step-by-step explanation:

There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48

30.48 x 3= 91.44

I hope this helps!

The length of the side of the smaller cube is 3.48cm

If their volumes differ  by 152 cm^3, then;

x^3 - (x+2)^3 = 153

Expand

x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153

x^3-x^3-12x^2-24x + 16 = 153

-12x^2-24x + 16 = 153

12x^2 + 24x - 16 - 153 = 0

12x^2 + 24 -169 = 0

On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm

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Using a linear function, it is found that the slope of the problem is of $70.

A linear function for a cost is modeled by:

[tex]C(t) = C(0) + at[/tex]

in which:

Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:

[tex]C(t) = 100 + 70t[/tex]

Then, the slope of the problem is of $70.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

Option 2

Step-by-step explanation:

An inverse ralation is where the x and y coordinate values are reversed. In other words you just need to switch the x's and y's.

So from the definition above the right answer is

{(3,0),(2,-5),(7,4),(2,-8)}

We will simplify the left hand side of the equation to look like the right

[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]

taking the LCM

[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]

expanding the binomial in the numerator

[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

Since sin²x + cos²x = 1

[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

factoring out the 2 from the numerator

[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]

1-sin(t) will cancel out

[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]

since cos²(t) = 1/(sec²(t))

[tex]2 sec^{2}(t)[/tex]

which is equal to the right hand side of our given equation.

So we verified the identity!

Answer:

[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)

Step-by-step explanation:

Please refer to the attachment for calculations.

I hope this helps!

Answer:

1: The tower is around 93 meters tall. 2: The object hit the ground at 6 seconds. 3: 3 seconds to get to about 93 meters up.

Step-by-step explanation:

1: The tower is around 93 meters tall.

2: The object hit the ground at 6 seconds.

3: the time it took to reach that height is 3 seconds to get to about 93 meters up.

Function is a type of relation, or rule, that maps one input to specific single output.

Linear function is a function whose graph is a straight line

1. Since the shot was made from the top of the tower, the starting height of the object (time zero) is equal to the height of the tower.

It represent in the graph by the y-intercept of the function, that is, the value of y when x=0.

The y-intercept is at (0,10) which shows that the height of the tower is 10m

2. The point where the object hit the ground, the height is zero meters, thus

The coordinates of the x-intercept are (6,0)

This shows that the object hit the ground 6 seconds after being shot.

3.The y-coordinate of the vertex shows the highest point of the object, which is 93 meters.

The x-coordinate of the vertex shows the time it took the object to reach said height, which is 2.8 seconds

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The amount of money Neela needs to deposit to raise her balance to 0 is; $163

Since Neela's online banking showed she's been charged a monthly fee of $8 on checking accounts and an overdraft protection fee of $35.

Subsequently, she wrote a check of $375 in which case; Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared.

Since the account showed she had a balance of $530.

Her new account balance is; $530 - $693 = -$163

Therefore, Neela needs to deposit $163 to raise her balance to 0.

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Answer:

−5<n≤2 I think, I don't really understand the question either I'm sorry!!!!

Answer:

The awnser is 19 Kilometers