х
4.
1
6 11
y
-3
-2
-1
0
slope:

Answer:

x = 9

Step-by-step explanation:

Exterior Angle property of a triangle:

The Exterior Angle property states that:

"The exterior angle of a triangle(the Angle obtained by extending one of the sides of the triangle) is equal to the sum of it's interior opposite angles."

In the given triangle RST:

∠VRS is the exterior angle, and

∠RTS and ∠RST are the interior opposite angles.

By using the above listed property,

∠VRS = ∠RTS + ∠RST

(Substituting the values of of angles from the figure)

=> (9x + 2) = 51 + (3x + 5)

=> 9x + 2 = 51 + 3x + 5

isolating x

=> 9x - 3x = 51 + 5 - 2

=> 6x = 54

dividing both sides by 6

=> x = 9

Answer:

  c = 10

Step-by-step explanation:

For quadratic

  y = ax^2 +bx +c

the y-intercept is c.

  c = 10

_____

The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...

  y = c

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Answer:

Step-by-step explanation:

12-b

13-c

14-a

15-d

16-b

17-c

18-d]

Step-by-step explanation:

Answer: Obtuse

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Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2×5=10

Hope this helps :)

Answer:

75%

Step-by-step explanation:

1 = 10%

2 = 25%

3 = 50%

4 = 75%

5 = 100%

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]

Let's divide by 5 and play with the LHS of the first equation a bit:

[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.

[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

[tex] - 2 \times - 24 = - 2( \times + 12[/tex])

Answer:

the correct answer is 2x+3

Step-by-step explanation:

because your adding the (x) factors together then your adding a negitive to a positive so you would get a lower number

Answer:

Each friend gets $20.25

Answer:

Parallel

Step-by-step explanation:

Using these points, we can determine that the equation is as follows:

Line B: y = -2/3x + 7/3

And since Line A has the same slope, it would make Line A's equations like this:

Line A: y = -2/3x - 11/3

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

Answer:

not enough info .

Step-by-step explanation:

sorry it needs more info

Answer:

The car will drive 60 miles in 60 minutes (an hour)

Step-by-step explanation:

For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!

Si.  es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19129107

If the dog could fly, it would need to fly 147 meters to catch the helicopter

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = [tex]\sqrt{21625}[/tex]

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here https://brainly.com/question/15138986

Answer:

7 and 1 / 2

Step-by-step explanation:

xy = 9

( 1 / x ) = 4 ( 1 / y )

y = 4x

x ( 4x ) = 9

4x^2 = 9

x = 3 / 2

( 3 / 2 ) y = 9

y = 6

6 + ( 3 / 2 ) = 7 and 1 / 2

The two numbers are 3/2 and 6.

The reciprocal of a number is this fraction flipped upside down.

Given that, The product of two positive numbers is 9. The reciprocal of one of these numbers is 4 times the reciprocal of the other number.

Let the numbers be a and b.

ab = 9.......(i)

1/a = 4/b

a = 4b..........(ii)

Using (i) in (ii)

4b×b = 9

b² = 9/4

b = 3/2

a×3/2 = 9

a = 6

Hence, The two numbers are 3/2 and 6.

For more references on reciprocal numbers, click;

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Answer:

B

Step-by-step explanation:

I only help you because you have nezuko as profile picture

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

Explanation:

First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x

AD/BD = BD/DC

13/x = x/4

13*4 = x^2

52 = x^2

x^2 = 52

x = sqrt(52)

Segment BD is exactly sqrt(52) units long.

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

Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC

(BD)^2 + (DC)^2 = (BC)^2

( sqrt(52) )^2 + ( 4 )^2 = ( m )^2

52 + 16 = m^2

68 = m^2

m^2 = 68

m = sqrt(68)

m = 8.2462 approximately

m = 8.2

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

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Answer:

I think its 1500

Step-by-step explanation:

1500