Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help

Show That The Triangles Are Similar By Comparing The Ratios Of The Corresponding Sides. Simplify Your

Answers

Answer 1

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]

[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]

[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.


Related Questions

given f(x)=3x-5, find f(x+2)

Answers



f(x-2) = 3(x-2) - 5
= 3x - 6 - 5
= 3x - 11

Answer:

Step-by-step explanation:

Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function

f(x+2) = 3(x+2) - 5

= 3x + 6 - 5

=3x + 1

rewrite 4.4.6.4.4.6 using exponents

Answers

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?

Answers

Answer:

let length be l and breadth 1/4×l

perimeter of the rectangle =600ft

2(l+1/4×l)=600ft

(4l+l)/4=600/2

5l=300×4

l=1200/5=240ft

Step-by-step explanation:

240ft is the length of a rectangular.

The slope through (3, 5) and (1. y) is 3. Find y.



Really need this answer!

Answers

Step-by-step explanation:

y2 - y1 / x2 - x1  

2 = 5 - y / (3 - 1)

4 = 5 - y

y = 1

So the line with slope 2 passes through the points (1,1) and (3,5).

Hope this helps!

Who was the first prince of Russia to be crowned as a czar

Answers

It should be Ivan IV

pls help i cant find the answer at all

Answers

AC = AB
4x + 8 = 7x - 4
8 + 4 = 7x - 4x
12 = 3x
x = 4

Ratio 7/11 two other ways

Answers

Answer:

Isn't it 7:11 and 7 to 11

Step-by-step explanation:

help, i need you to find the area

Answers

Answer:

98

Step-by-step explanation:

Formula Base * Height

7*14=98

Answer:

77 inches

Step-by-step explanation:

The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.

Hope it helps!

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.



How much was the tip in dollars?



Round your answer to the nearest hundredth (second) decimal place.

Answers

The tip was $7.77

I hope this helped! please mark brainliest and vote 5 stars >:)

Answer:about 8 dollars

Step-by-step explanation:

4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1

Answers

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Help me with this. 30 points. Don't put bad answer please.

Answers

Answer:

The answer is A

Step-by-step explanation:

No 30 points put I ranked up

Thx

What is the value of X.

Answers

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer: x=7


Explanation: These are vertical angles, so they are congruent

x+16=4x-5

-x -x

16=3x-5



+5 +5


21=3x



21/3 3x/3


x=7




7+16=23
4*7=28-5=23

50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!

LOOK AT PICTURE

Answers

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.

Answers

Answer:

Step-by-step explanation:

I = 180-152-7 = 21°

Law of Sines:

g = h·sinG/sinH ≅ 38.5 cm

i = h·sinI/sinH = 29.4 cm

Use Heron's Formula to calculate the area from the lengths of the sides.

semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm

area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²

What is the largest of three consecutive odd integers whose sum is 105.

Answers

35 bc 35 times 3 is 105


The sum of three consecutive numbers is 405. What is the
3rd numbers

Answers

Answer:

136

Step-by-step explanation:

Let the three consecutive numbers be a, a + 1, a + 2

Therefore,

a + a + 1 + a + 2 = 405

3a + 3 = 405

3a = 405 - 3

3a = 402

a = 402/3

a = 134

Third number = a + 2 = 134 + 2 = 136

Suppose two angles of one triangle are congruent to two angles of another triangle. Using
the Triangle Sum Theorem, what could you conclude about the third angles in each
triangle? Justify your answer.

Answers

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

Combine like terms 3x^2 + 4x^3 + 6x^2

Answers

9x^2 + 4x^3
Hope this helped

Answer:

3x^2+6x^2= 9x^2

9x^2+4x^2

Step-by-step explanation:

Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points

Answers

Answer:

5351.2

Step-by-step explanation:

596 times 9 = 5364

64 divided by 5 = 12.8

5364 minus 12.8 = 5351.2

First part: 5364
Second part: 12.8
5364 - 12.8 = 5351.2

The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD

Answers

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

A . it is increasing and linear

B. it is decreasing and linear

C. it is increasing and non linear

D. It is decreasing and non linear

Answers

Answer:

The answer is B.

Step-by-step explanation:

From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?

Answers

The sides of a 30-60-90 triangle are always in the ratio 1:√3:2, respectively.

The side opposite the 90° is 12 inches, so the side opposite the 30° angle is 6 inches, and the side opposite the 60° angle is 6√3 inches.

Find the lcd between 1/6 and 2/9. Show your work.

Answers

The least common denominator is 18.

1/6 × 3/3 = 3/18
2/9 × 2/2 = 4/18

Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times the inverse tangent of the quantity x squared divided by 4, plus C one fourth times the natural log of x to the 4th power plus 16, plus C one fourth times the inverse tangent of the quantity x squared divided by 4, plus C the product of negative one fourth and 1 over the quantity squared of x squared plus 16, plus C

Answers

Answer:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

Step-by-step explanation:

Given

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx[/tex]

Required

Solve

Let

[tex]u = \frac{x^2}{4}[/tex]

Differentiate

[tex]du = 2 * \frac{x^{2-1}}{4}\ dx[/tex]

[tex]du = 2 * \frac{x}{4}\ dx[/tex]

[tex]du = \frac{x}{2}\ dx[/tex]

Make dx the subject

[tex]dx = \frac{2}{x}\ du[/tex]

The given integral becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

Make [tex]x^2[/tex] the subject

[tex]x^2= 4u[/tex]

Square both sides

[tex]x^4= (4u)^2[/tex]

[tex]x^4= 16u^2[/tex]

Substitute [tex]16u^2[/tex] for [tex]x^4[/tex] in [tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du[/tex]

Simplify

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

In standard integration

[tex]\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)[/tex]

So, the expression becomes:

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)[/tex]

Recall that: [tex]u = \frac{x^2}{4}[/tex]

[tex]\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c[/tex]

can you please help me with this?

A) 29

B) 15

C) 45

D) 8

Answers

Answer:

A) 29

Step-by-step explanation:

Step 1: Find angle G

Since Sin(θ) = Opposite over Hypotenuse:

[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ

θ = 33.896°

Now repeat for just the smaller triangle:

[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]

Words
a. Divide the difference
between 1,200 and 700 by 5

Answers

Answer:

100

Step-by-step explanation:

1,200 - 700 = 500

500/5 = 100

Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried

If you overestimate the standard deviation of the population, which type of error are you potentially increasing

Answers

Answer:

Standard Error

Step-by-step explanation:

The standard deviation is directly proportional to the sample standard deviation or standard error.

According to the relation :

Standard Error = standard deviation / sqrt(sample size)

Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.

Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.

integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?

true or false? help pleasee

Answers

The correct answer is True. Hope this helps
Answer: True
Explanation: I learnt it in 6th grade math

which of the following graphs describes the solution set of -4/5x-13/5>=-9?

Answers

Answer:

Hey Bud

your answer is x ≤ 8

Step-by-step explanation:

should be closed dot pointing to the negative numbers

Let's solve your inequality step-by-step

Step 1: Simplify both sides of the inequality.

Step 2: Add 13/5 to both sides.

Step 3: Multiply both sides by 5/(-4).

Complete the tables of values?

Plz help I’m so stuck on this

Answers

Answer:

d=1

e=4/9

f=16/81

Step-by-step explanation:

Substitute x in the right column with the values in the left column to find d, e, and f.

Answer:

d = 1

e = 4/9

f = 16/81

Step-by-step explanation:

d is 1 because any term raised to the power of zero equals one

e: (2/3)² = 2²/3² = 4/9

f: (2/3)^4 = 2^4/3^4 = 16/81

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