1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frozen [14]
4 years ago
8

Find segment DF. Picture will help you.

Mathematics
1 answer:
sp2606 [1]4 years ago
4 0

Answer:

Therefore the Segment DF is 7.2 unit.

Step-by-step explanation:

Given:

∠ABD ≅ ∠D

∠DCE ≅ ∠E

AC = 10

CE = 6

BD = 12

To Find:

DF = ?

Solution:

∠ABD ≅ ∠D .....Given

Which are Alternate Angles

AB || CD      ..........Alternate Angles Theorem

∠DCE ≅ ∠E ....Given

Which are Corresponding Angles

CD || EF       ............Corresponding Angles Theorem

Now we have,

If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

AB || CD || EF cut by transversal BF and AE then

\dfrac{BD}{DF}=\dfrac{AC}{CE}

Substituting the values we get

\dfrac{12}{DF}=\dfrac{10}{6}\\\\DE=\dfrac{72}{10}=7.2\ unit\\\\DF = 7.2\ unit

Therefore the Segment DF is 7.2 unit.

You might be interested in
Please help! Will give brainly, 50 points!! I'm stuck with this question and I don't get it!
pishuonlain [190]

Answer: The answer is x^2 + 4x - 3

Step-by-step explanation:

You just combine like terms, the only ones that can combine is the 6x and -4x. You just subtract them to get the answer of x^2 + 4x - 3.

7 0
3 years ago
Read 2 more answers
Identify an equation in slope intercept form for the line parallel to Y equals 4X -9 that passes through (-5,3)
Kobotan [32]

Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.

Now compare this form with the tiven equation y=4x-9 to get the value of m.

So, m= 4.

Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.

Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).

The point intercept form of a line is,

(y-y1)=m(x-x1)

So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,

y-3=4(x-(-5))

y-3=4(x+5) Since -(-5)=+5

y-3=4x+20 By distributing property.

y=4x+20+3 Adding 3 to each sides.

y=4x+23

So, the slope-intercept form of that parallel line is y=4x+23.

7 0
3 years ago
Six friends are going to a consert. Their tickets total
irga5000 [103]

Answer:

196           and             280

Step-by-step explanation:

7 0
3 years ago
Help? (i mark brainlist)
Annette [7]
The answer is D
Hope this helps :)
3 0
3 years ago
Read 2 more answers
A recipe calls for 3 cups of flour to make 2 batches of dinner rolls. One batch makes 15 rolls. Laura is making dinner for 12 pe
Maru [420]

Answer:

A

Step-by-step explanation:

3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.

Laura wants to find how much flour she needs to make 12 rolls.

Here's the setup:

Let x be the number of cups of flour needed. Then,

(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)

This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.

It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.

This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.

4 0
3 years ago
Read 2 more answers
Other questions:
  • A sound receiving dish used at outdoor sporting events is constructed in the shape of a paraboloid, with its focus 8 inches from
    14·1 answer
  • PLEASE, SOMEONE, I CAN'T FAIL THIS CLASS
    10·1 answer
  • What is a unit rate?a rate with one in the numerator a rate in which the numerator and the denominator are equal a rate with one
    12·1 answer
  • Step by step 2 step equation: v/6-4=-5
    14·1 answer
  • -2 + 6 < -10 What is the answer
    5·1 answer
  • If the simple interest on $4000 for 9 years is $1800, then what is the interest rate.
    14·2 answers
  • Help I need help plis ​
    15·2 answers
  • What is the value of g^(2)? <br> A. -1 B. 1 C. 2 D. 1/2
    7·1 answer
  • [100 POINTS] What is the measure of the arc from A to B that does not pass through C?
    7·1 answer
  • a branch of mathematics that deals with the study of collecting, analyzing, interpreting, presenting, and organizing data in a p
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!