Alonzo rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 73 cents for each mile driven. Alonzo had to pay
$215.90 when he returned the truck. For how many miles did he drive the truck?

Answer:

Step-by-step explanation:

Use Intersecting chords theorem and find x:

Find KM:

Step-by-step explanation:

➡JU×LU=MU×KU

➡10×2x=9(2x+2)

➡20x=18x+18

➡20x-18x=18

➡2x=18

➡x=18/2

➡x=9

KM=KU+UM

➡KM=9+2(9)+2

➡KM=9+18+2

➡KM=29

Answer:

x = 2

Step-by-step explanation:

the radius is 5

both triangles are congruent because of the SAS theorem.

x = 2 because corresponding parts of congruent tringles are congruent.

Answer:

C.) 12.4

Step-by-step explanation:

The square root of 155 needs to be found.

It's about 12.4498996.

Thinking that your options are supposed to be decimals, the closest rounded answer would be C.

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

Answer:

35(2n + 1) A is correct

Multiply and you'll get

70n + 35

Step-by-step explanation:

35 is the greatest factor

70n / 35 = 2n

Answer:

35(2n + 1)

Step-by-step explanation:

Answer:

13×1/4

Step-by-step explanation:

turn into improper fraction

Answer:

67

Step-by-step explanation:

There are 65 seats in row 20, option D is correct.

Given that number of seats in row 3 are 31.

Number of seats in row 6 are 37

We need to find the rate of increase, we can calculate the difference in the number of seats between row 6 and row 3 and divide it by the number of rows in between:

Rate of increase = (Number of seats in row 6 - Number of seats in row 3) / (6 - 3)

Rate of increase = (37 - 31) / (6 - 3)

Rate of increase = 2

So, the number of seats increases by 2 seats per row.

To find the number of seats in row 20, we can use the rate of increase:

Number of seats in row 20 = Number of seats in row 3 + (Rate of increase × (20 - 3))

Number of seats in row 20 = 31 + (2× (20 - 3))

= 31 + (2 × 17)

= 31 + 34

= 65

Therefore, there are 65 seats in row 20.

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Answer:

323 legos

Step-by-step explanation:

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

Hoping it helps...

Have a nice day!

Answer:

i think it's 9

Step-by-step explanation:

A=126cm÷by one diagonal 14

=9

Answer:

solution - (2,1)

For the graph - just copy my graph

Step-by-step explanation:

The equations are fully simplified already so all we have to do is graph them and find the solution

The solution being where the two lines graphed intersect

As you can see in the graph below the two lines intersect at point (2,1) therefore the solution to the system of equations is (2,1)

Answer:

see explanation

Step-by-step explanation:

12

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then

[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]

13

Using the explicit formula for a geometric sequence

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then

a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576

Answer: Renata, [tex]416\ ft^2[/tex]

Step-by-step explanation:

Given

The base of rectangular wood is [tex]b=32\ ft[/tex]

The height of Renata frame is [tex]h_r=18\ ft[/tex]

The height of the ben frame is [tex]h_b=5\ ft[/tex]

The area of the rectangular frame is [tex]A=b\times h[/tex]

The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]

The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]

Clearly, the area of Renata is more by  [tex]576-160=416\ ft^2[/tex]

Answer:

answer was A ok alright hf

Answer:

A is your correct answer!

Answer:

h = 20 mm

Step-by-step explanation:

V = πr²h

3920π = π(14²)h = π196h

divide both sides of the equation by π196:

20 = h

Answer:

Step-by-step explanation:

The triangle is right isosceles.

It is right as the side is the diameter of the circle.

It is isosceles as two sides marked as equal.

Acute angles are same and equal to:

Correct option is 45°

Answer:

<M=90°[inscribed angle on diameter is 90°]

<N=<L=[base angle of isosceles triangle]

now

<M+<l+<N=180°[sum of interior angle of traingle]

[2x-5]×2=180-90

4x-10=90

x=100/4=25

x=25

Answer:almonds: 10.20

Cashews :12:40

Step-by-step explanation:

The cost per pound of almonds and cashews are 10.20 and 12:40, respectively

From the complete question, we have the following equations

6a + c = 73.6

4a + 3c = 78

Make c the subject in 6a + c = 73.6

c = 73.6 - 6a

Substitute c = 73.6 - 6a in 4a + 3c = 78

4a + 3(73.6 - 6a) = 78

Open the bracket

4a + 220.8 - 18a = 78

Evaluate the like terms

14a = 142.8

Divide by 14

a = 10.20

Substitute a = 10.20 in c = 73.6 - 6a

c = 73.6 - 6 * 10.2

Evaluate

c = 12.4

Hence, the cost per pound of almonds and cashews are 10.20 and 12:40, respectively

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Answer:

53.75.. I didn't round it either

Step-by-step explanation:

Have nice day/night :)

Answer:

6 and 4

Step-by-step explanation: since it is "cm2" it means it was already halved. This means that the answer was originally 24, 6x4 is the only one that equals 24.

Step-by-step explanation:

write and say i am not understanding

Answer:

Ok ok, trust me this is not a scam nor hack

Step-by-step explanation:

I didn't no idea to explain in words so i edited the photo

Answer:

Integer is a whole number; a number that is not a fraction.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 700 oranges

Step-by-step explanation: mass of box is reduced first.

Mass of oranges is 60 kg -7.5 kg = 52.5 kg

Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.

52.5 kg/0.075 kg= 700

Answer:

is there any more context?

Step-by-step explanation:

Answer:

53.130°

Step-by-step explanation:

tan(x)=16/12

x is used in replacement of theta symbol

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

[tex]A = b\cdot h[/tex] (1)

Where:

[tex]A[/tex] - Area.

[tex]b[/tex] - Base.

[tex]h[/tex] - Height.

The base and height of the parallelogram are, respectively:

Base

[tex]b = 8-2[/tex]

[tex]b = 6[/tex]

Height

[tex]h = 5-1[/tex]

[tex]h = 4[/tex]

Then, the area of the parallelogram is:

[tex]A = (6)\cdot (4)[/tex]

[tex]A = 24[/tex]

The area of the paralellogram is 24 square units.

Answer:

Law of sines

Step-by-step explanation:

i took the test

The law of sines can be used to calculate the side h. Hence, option B is correct.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.

Hence, Hence, option B is correct.

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Answer:

am i too late

Step-by-step explanation: