​Triangles ABC​ and DFG are similar.

Which proportion can be used to find the value of DG¯¯¯¯¯¯?


a 15/7=5/DG

b DG/15=5/7

c 5/7=15/DG

d 5/DG=15/6
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.

Triangles ABC And DFG Are Similar.Which Proportion Can Be Used To Find The Value Of DG?a 15/7=5/DGb DG/15=5/7c

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Since every side of ΔABC is dilated by 3, or triple the size

We multiply every length of ΔABC by 3

But the length of DF and FG are already done for us but DG is not, which is essential to finding the answer

7 x 3 = 21

DG = 21

5/7 = 15/21

5 ÷ 7 = 0.71

15/21 = 0.71

5/7 = 15/21

Answer 2

Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

So, value of [tex]DG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults


Related Questions

40 kişinin katıldığı bir davete 5 evli çift daha
katılırsa, davete katılan erkeklerin sayısı, ka-
dınların sayısının 2 katından 13 eksik oluyor.
Buna göre, son durumda davete kaç erkek-
katılmıştır?
a) 30 D) 29 C) 26
D) 24​

Answers

sen türksün be ne işin var senin burada

Which of the following pairs show(s) two congruent triangles?

Answers

Answer:

B only

Step-by-step explanation:

In A and in C, only the angles of one triangle are congruent to the corresponding angles of the other triangle. That proves similar triangles but not necessarily congruent triangles.

Definition of congruent triangles:

Two triangle are congruent if all angles of one triangle are congruent to all corresponding angles of the other triangle and all sides of one triangle are congruent to all corresponding sides of the other triangle.

That happens only with the triangles in B.

Answer: B only

Out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

What are congruent triangles?

Two triangles are said to be congruent if they are exactly the same i.e. corresponding sides, as well as corresponding angles, are equal.

A)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

B)Triangles shown are congruent because corresponding sides, as well as corresponding angles, are equal.

C)Triangles shown are similar triangles because the corresponding sides are not equal. In fact, they are in proportion.

Hence, out of three pairs, only pair B is an example of congruent triangles because they are exactly the same.

To get more about congruency visit:

https://brainly.com/question/1675117

Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know?

Answers

Answer:

they are equal because while solving 2b+5+1b it will come 3b+5 so they are equal

Answer:

the equation are equivalent

Step-by-step explanation:

to know why, look at the pic above

Work out, giving your answer in its simplest form:
4/7 divided by 2 1/3

Answers

Answer:

12/49  

Step-by-step explanation:

First write 2 1/3 as a improper fraction, to do that, first multiply the 2 by the denominator, then add it with the 1, which will result in 7/3

when doing division of fraction you have to remember this, KFG

KFG: Keep Flip Change

you keep the first number or fraction, which is 4/7

then you flip the sign, so you change division in to multiplication

after that, you change or write the reciprocal of the second number or fraction, so 7/3 will be 3/7

Now the equation is

4/7 times 3/7, which is 12/49  

solve the system of linear equation by graphing
y=x-7
y=-2x+5​

Answers

Answer: (4,-3)

jfwfhwghfhkhhhsfufufcbvhvus

3x - 5 = -3 is the answer positive or negative

Answers

Answer:

positive

Step-by-step explanation:

if you time the three by a postive then times that by a negetive you get a negitive if you time by two negitives you get postive

In the expression 3x - 5 = - 3 the value of x is positive 2/3.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 3x - 5 = - 3.

3x = - 3 + 5.

3x = 2.

x = 2/3 so x is positive.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

A phone company offers two monthly plans. Plan A costs $26 plus an additional $0.13 for each minute of calls. Plan B costs $17 plus an additional $0.18 for each minute of calls. Please help me!

Answers

Answer:

DSC

Step-by-step explanation:

Can anyone answer 20-24

Answers

mmm no but try the slader app! XD

what is the equation of a line that passes through points (0,7) and( 2,8)write your answer in slope intercept form

Answers

Answer:

(0,7) and (2,8)

slope =8-7=1

          2-0=2

m=1/2 meaning slope

equation=y-7/x-o=1/2

2(y-7)=1(x-0)

2y-14=x -o

2y=1x +14

y =1/2 x +7

Step-by-step explanation:

to get the slope is y 2-y 1 divide by x 2-x 1 to get 1/2

you then take one point as (x,y)  and one of the coordinates =the slope

then you divide by the 2 on both sides in order to get y=mx + c

a(b - 4) + c(b - 4)
can someone help me please!!!​

Answers

Answer:

(b−4)(a+c)

Step-by-step explanation:

Answer:

ab-4a+cb-4c

Step-by-step explanation:

a(b-4)+c(b-4)

ab-4a+cb-4c

g(-4) and g(4)=
Using the graph

Answers

Answer:

g(-4) = 1  g(5) = -3

Step-by-step explanation:

Step 1: Recognize this is in function notation

In funcion notation what is in the brackets are the x coordinates of the point

Step 2: Solve

We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4.  We see that at x = -4 y is equal to 1 so g(-4) is equal to 1

Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3

Find the requested information based on the given facts.

Total sales is $55,000.

The commission is 3.5%.

Determine the commission.

Answers

Using proportions, it is found that the commission is of $1,925.

What is a proportion?

A proportion is a fraction of a total amount, and operations such as multiplication or division are used to find the desired measures in the problem.

One example of application of proportions is for percentage problems, as the percentage is the desired amount divided by the total amount. To find the amount equivalent to a percentage, we multiply the decimal coefficient of the percentage by the total amount.

For this problem, the percentage is of:

3.5%.

Hence the decimal equivalent is:

3.5/100 = 0.035.

The commission is 3.5% of the total sales of $55,000, hence:

C = 0.035 x 55000 = $1,925.

Hence the commission is of $1,925.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

a=10t+0 find the y intercept

Answers

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),

Answers

Answer:

10

Step-by-step explanation:

I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP

Answers

Answer:

2

Step-by-step explanation:

Answer:

the apple will be 1

.............

Find the midpoint of the line segment from (4,5) to (-4,4)

Answers

9514 1404 393

Answer:

  (0, 4.5)

Step-by-step explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

  ((4, 5) +(-4, 4))/2 = (4-4, 5+4)/2 = (0, 9)/2 = (0, 4.5)\

The midpoint is (0, 4.5).

−14 − 8x = −2(−3x + 7)

Answers

Answer:

-8x=6x+14-14

-8x-6x=0

-14x=0

X=0/14

X=0

?????

Answer:

X= 0 or Zero

Step-by-step explanation:

Steps To solve this problem... (8 steps)

1) Rearrange terms:

−14 − 8x = −2(−3x + 7)

−8x − 14 = −2(−3x + 7)

2) Distribute:

−8x − 14 = −2−(3x + 7)

−8x − 14 = 6x - 14

3) Add  14 to both sides of the equation:

−8x − 14 = 6x - 14

−8x − 14 + 14 = 6x - 14 + 14

4) Simplify (Add the numbers):

-8x = 6x

5) Subtract  6x from both sides of the equation:

-8x = 6x

-8x - 6x = 6x - 6x

6) Simplify (Combine like terms):

-14x = 0

7) Divide both sides of the equation by the same term:

-14x = 0

-14x/-14 = 0/-14

8) Simplify  (Cancel terms that are in both the numerator and denominator):

X= 0/-14

Hope this Helped! :)

2horas 3 minutos 47 s as​

Answers

Answer: I dont understand.

Step-by-step explanation:

Solve the equation. 8w = 48​

Answers

Answer:

8w=48

This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.

Answer:

w = 6

Step-by-step explanation:

Solve

8w = 48

8w/8 = 48/8

= w = 6

Cheryl signs up for a savings account that guarantees an increase in her savings at a fixed rate of $15 per month. She plans to withdraw the money when it is more than twice the original amount of $200. Find the least number of complete months that Cheryl has to keep the money in the account for.

Answers

Answer: 14 months.

Step-by-step explanation:

Given: Original amount = $ 200

Fixed rate of growth = $15 per month

Let x be the number of months that Cheryl has to keep the money in the account for.

Then, [tex]200+15x=2(200)[/tex]

[tex]\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14[/tex]

Hence, it will take 14 months .

Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?​

Answers

Multiply 8km/h by 4h. You will get 32 km

please help asap!!!!

Answers

Answer:

The area is 60. Thats all I know TwT

Step-by-step explanation:

Someone plz help me I will give brainliest:)

Answers

"If we leave now," she said. "We'll be right on time."

"Do you have dear Mr. Henshaw? Alice, ask the clerk."

Blvd.

add ness to strange making it strangeness

I think that the broken tv is the subject

Answer:

1) "If we leave now" she said, "We'll be right on time.

2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.

3) blvd.

4) Er (Strang-er)

5) Television

Step-by-step explanation:

Hope this Helps!!

:D

Determine how many lines of symmetry each object has

Answers

i think the answer is zero

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

Use the equation below to find the y, M=11, x=2 and B=5

Answers

Answer:

The length and breadth of a rectangular

field are equal to 600 m and 400 m

respectively. Find the cost of the grass to be

planted in it at the rate of ₹ 2.50 per m2

Find the approximate perimeter of △ABC plotted below.

Answers

Answer:

The perimeter of triangle ΔABC is approximately;

(A) 20.0

Step-by-step explanation:

In ΔABC, the coordinates of the vertices are given as follows;

A(-4, 1), B(-2, 3), C(3, -4)

The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

The length of segment [tex]\overline {AB}[/tex] = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83

The length of segment [tex]\overline {BC}[/tex] = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6

The length of segment [tex]\overline {AC}[/tex] = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6

The perimeter of a geometric shape is equal to the sum of the length of sides of the figure

The perimeter of triangle ΔABC = (The length of segment [tex]\overline {AB}[/tex]) + (The length of segment [tex]\overline {BC}[/tex] ) + (The length of segment [tex]\overline {AC}[/tex])

∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.

Answer: 20.0

Step-by-step explanation: Khan Academy

Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05

Answers

Answer:

it's 4 on edge

Step-by-step explanation:

I got it right

The value is in the domain of f(x) is 4, the correct option is C.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

f(x) =-2x + 3,0 < x < 4

Now,

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:

Domain of f(x) = (-6, 0) U (0, 4)

Therefore, by the domain the answer will be 4.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ7

Spiral Review. Find the value of the expression below

9 + 4³ x (20 - 8) ÷ 2 + 6

WRONG ANSWERS REPORTED

Answers

Answer:

399

Step-by-step explanation:

9+4^3*(20-8)/2+6

9+(4)(4)(4)(12)/2+6

9+64(12)/2+6

9+768/2+6

15+768/2

15+384

399

How many 3/4 pound weights can be made from 6 pounds of steel?​

Answers

Answer:

8

Step-by-step explanation:

Other Questions
1. Why was England broke after the French and Indian War?A. They lost the war.B. They spent a lot of money to protect the colonists.C. They had to pay the colonists for helping England win thewar. On Monday, the baker makes 35 blueberry muffins.What is the total number of muffins that the baker makes on Monday? WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!Which subjects did the muckrakers write about?Choose all answers that are correct?corrupt business practicescorrupt government officialsseasonal fashionsunhealthy food processing Exponent shown below help please!!!!!!!!! Which image is a reflection of the black polygon in quadrant I?On a coordinate plane, the black polygon is reflected across the y-axis to form the red polygon.the black polygon in quadrant Ithe red polygon in quadrant IIthe blue polygon in quadrant IIIthe green polygon in quadrant IV Find the value of x in the rhombus Identify the coefficients and constants in the expression. 2x y + 5x In what way are straw polls similar in bias to massive e-mail-writing campaigns staged by interest groups? (can be a short answer) Determine the intercepts of the line.Y intercept: ?X intercept: ? I need help with finding the percent. Please help me with this The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool? Which pair of fractions is not equivalent fractions?A.1/9,2/18B.7/8,5,6C.3/16,9/48D.6/15,4/10 If n=6 what is the value of n^2 List two traits of strategy and how you can use them in life. WILL GIVE BRAINLIEST!!!!! (100 POINTS)(05.01 MC)A kite is a quadrilateral with two pairs of adjacent, congruent sides. Prove the two angles between the non-congruent sides are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. (10 points) i Que efecto se produce cuando algodibuja alejado o cercano?se A 30-year-old male demonstrated a subtle onset of the following symptoms: dull facial expression; droopy eyelids; puffiness of the face and periorbital swelling; sparse, dry hair; dry, scaly skin; evidence of intellectual impairment; lethargy; a change of personality; bradycardia (60 b/min) low range of normal; a blood pressure of 90/70 low BP; anemia low iron cant transport O through body very well(hematocrit 27); enlarged heart (upon radiological exam); constipation, and hypothermia. Plasma concentrations of total and free T4 and T3 follow:Radioimmunoassay (RIA) of peripheral blood indicated elevated TSH levels. A TSH stimulation test did not increase the output of thyroid hormones from the thyroid gland. a. What endocrine organ is involved here? b. Is this a primary or secondary disorder? Why? (Is a TSH or TRH determination necessary for your diagnosis?) c. Describe the feedback loop involved, indicating if there is an increased or decreased TSH level. d. List several defects that could cause these symptoms. e. Would you expect to find a palpable goiter? Explain your answer. f. Describe a suitable treatment for this individual. find an equation of line containing (3, -4) and having slope -2. if this line contains the points (a, 8) and (5, b) find a and b What tone should the speaker use to reciteO confused and unsureO sincere and romantic**t 18,"peareO silly and humorousO angry and hurt? what does indignant mean?