Solve similar triangles (advanced)
Solve for X
X=?

Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Answer:

The sequence converges to 1.

Step-by-step explanation:

[tex]\frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7}\\\\The \ general \ term = \frac{n -1}{n}\\\\ \lim_{n \to \infty} (\frac{n -1}{n}) = \lim_{n \to \infty} \frac{n(1 -\frac{1}{n})}{n} = \lim_{n \to \infty} 1 - \frac{1}{n} = 1 - \lim_{n \to \infty} \frac{1}{n} = 1[/tex]

[tex][ \lim_{n \to \infty} \frac{1}{n} = 0][/tex]

Answer:

A.

[tex]j + j + j + j \: and \: j4[/tex]

Answer:

3 more words per minute

Step-by-step explanation:

So Graham types 260 words / 5 minutes = 52 words per minute

And Clair types 275 words / 5 minutes = 55 words per minute

Thus Clair ypes 55-52 = 3 more words per minute

Answer:

[tex]c=\frac{ab}{a+b}[/tex]

Step-by-step explanation:

To solve for [tex]c[/tex], our goal is to isolate it.

Start by multiply both sides by [tex]ab[/tex]. That way, we'll still have only one term with [tex]c[/tex], but we'll be able to get rid of two messy fractions.

[tex]b+a=\frac{ab}{c}[/tex]

Taking the reciprocal of both sides:

[tex]\frac{1}{a+b}=\frac{c}{ab},\\c=\boxed{\frac{ab}{a+b}}[/tex]

*Note: You cannot take the reciprocal of both sides if you're adding fractions. This is why we can't just take the reciprocal of both sides in the initial equation.

Alternate solution:

[tex]\frac{1}{a}+\frac{1}{b}=\frac{b}{ab}+\frac{a}{ab}=\frac{1}{c},\\\\\frac{b+a}{ab}=\frac{1}{c},\\\\c=\frac{ab}{b+a}=\boxed{\frac{ab}{a+b}}[/tex]

Answer:

c=ab

a+b

Step-by-step explanation:

1 + 1= 1

a. b. c

a+b = c

ab

a+b= ab

c

ac+bc=ab

c(a+b)=ab

c(a+b)=ab

a+b. a+b

c=ab

a+b

Answer:

C

Step-by-step explanation:

4 is the y-intercept and 3 is the slope making the answer C.

As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of the function:

f(x) = 3x + 4

Let's plug x = 0

f(0) = 4

Let's plug x = 1

f(1) = 7

Let's plug x = -1

f(-1) = 1

Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer: A sum

Step-by-step explanation: The result of adding two or more numbers together is a sum.

When two (or more) numbers are added together, the result is called a sum.

Answer:

2 times length of AB

Step-by-step explanation:

Given

[tex]AB =50\%[/tex]

Required

Length of line with 100%

To get the length of line segment that is 100%, simply multiply AB by 2

i.e.

[tex]2 * AB =2 * 50\%[/tex]

[tex]2 AB =100\%[/tex]

Assume AB = 5cm (at 50%). The length at 100% will be 10cm i.e. 2 * 5cm

Answer:

Option B

Step-by-step explanation:

It's clear from the graph attached,

ΔABC has been dilated and shifted downwards.

Length of segment AB = 2 units

Length of segment DE = 4 units

Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]

Scale factor = [tex]\frac{DE}{AB}[/tex]

                    = [tex]\frac{4}{2}[/tex]

                    = 2

Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.

Lets consider a point B(0, 0) from the given graph and analyze the transformations done.

If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,

B(0, 0) → E(0 + h, 0 + k)

Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.

Therefore, (0 + h) = 0 ⇒ h = 0

0 + k = -10

k = -10

Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)

Option B is the correct option.

Answer:

6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.

Step-by-step explanation:

15 substituted in for f and x is the the number of summers.

Answer:

6

21

36

51

Illuminate test.

Answer:

0.36x, [tex]\frac{9}{25}[/tex]x

Step-by-step explanation:

36/100 = 9/25

Answer:

175/5 = 35

Step-by-step explanation:

dividend/divisor = quotient

175/5 = 35

Answer: Alice returns on Wednesday, 3 pm.

Step-by-step explanation: One day is 24 hours long. 55 hours is 2 days and 7 hours. So Alice comes back home on Wed  , add 8 am 7 hours and you get 3 pm

The time that Alice would arrive home from the sponsored walk given the the time she starts the walk is Wednesday by 3pm.

The first step is to divide 55 hours into days. This can be done by dividing 55 hours by 24.

55/24 = 2 days 7 hours

The second step is to add 2 days 7 hours to 8am: Monday 8am + 2 days 7 hours = Wednesday 3pm

To learn more about how to calculate time, please check: https://brainly.com/question/26290873

Answer:

C 4:7 and 12:21

Step-by-step explanation:

4×3 => 12

7×3 => 21

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

Answer:

Area of the sector : D.

3π cm²

Answer:

Step-by-step explanation:

Circumference for a circle equation is: [tex]2\pi r[/tex]

1. 31.4 in

2. 88 mm

3. 69.1 yd

4. 578.5 m

Area for circle equation is: [tex]\pi r^{2}[/tex]

5. 490.9 m^2

6. 227 ft^2

7. 35.8 mi^2

8. 86.6 cm^2

9. Area: 50.3 cm^2, circumference: 25.1 cm

10. Area: 69.4 in^2, circumference: 29.5 in

11. Area: 2.5 ft^2, circumference: 5.7 ft

12. Area: 36.3 km^2, circumference: 21.4 km

13. Area: 154 yd^2, circumference: 44 yd

Answer:

It is higher I have no time to explain. Hope it's right!

The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.

- 3 is for vertical displacement sis.

( Sorry about my bad graphing and bad quality of the pic )

Answer:

Step-by-step explanation:

Top right one. All angles are acute( < 90 degrees) and different .

Answer:

40 cookies was sold

Step-by-step explanation:

Let x represent the number of cakes baked, y represent the number of cookie baked and z represent the number of buns baked.

He made 270 cakes. Therefore x = 270

28% of the total baked products where cookies, hence:

0.28(270 + y + z) = y

75.6 + 0.28z = 0.72y

0.72y - 0.28z = 75.6      (1)

The number of cakes was three times the number of buns. Hence:

x = 3z

3z = 270

z = 90

Put z = 90 in equation 1:

0.72y - 0.28(90) = 75.6

0.72y -25.2 = 75.6

y = 140

Therefore 270 cakes was baked, 140 cookies was baked and 90 buns was baked.

He sold 40 buns and 120 cakes, the number of buns and cakes left is 50 buns and 150 cakes. Let us assume that number of cookies left was a. Since the ratio of left buns to cakes to cookies is 1:3:2. Hence:

(1/6) * (50 + 150 + a) = 50

300 = 200 + a

a = 100

Therefore 100 cookies was left. The number of sold cookies = 140 - 100 = 40

Answer:

The first option:

7,10,8,11

Step-by-step explanation:

It's going in a pattern by counting numerically every other number. It's does this starting from 6 and starting from 4. I'm not sure how to explain this well but I hope you get it.

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

Answer:

[tex] {f}^{ - 1} (x) = 2x - 8[/tex]

[tex] {f}^{ - 1} (4) = 0[/tex]

Step-by-step explanation:

[tex] y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8[/tex]

[tex] \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0[/tex]

Answer:

[tex]y=\frac{x}{2} -5[/tex]

Step-by-step explanation:

Linear functions are those whose graph is a straight line.

A linear function has the following form: [tex]y=f(x)=a+bx[/tex]

A linear function has one independent variable and one dependent variable.

The independent variable is x and the dependent variable is y.

The degree of a linear equation must be 0 or 1 for each of its variables.

1. The degree of the variable y is 1 which means it is not linear.

2. The degree of the variable y is 1 and the degree of variable x is 1 so it is linear.

3. The degree of the variable y is 1 and the degree of the variable x is 2 so it is not linear.

4. The degrees of the variable violates the linear equation definition so it is not linear.

Answer:

20

Step-by-step explanation:

[tex]15^2+b^2=25^2\\225+b^2=625\\625-225=b^2\\b^2=400\\\sqrt{400}=20[/tex]

Answer:

Radius

Step-by-step explanation:

CB = AB/2

Since AB is the diameter, CB is a radius