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
Xelga [282]
3 years ago
14

Given ΔCAB ≅ ΔEDF, complete the sentences below. In ΔCAB, the measure of line BC is 4 units, and the measure of line AC is 5 uni

ts. In ΔEDF, the measure of line DE is 3x + 2 units, the measure of line EF is y units, and the measure of Line DF is 2x + y units.
The measure of line DE is __ units.



The measure of line EF is __ units.



The measure of line DF is __ units.
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

Answer: The measure of line DE is 5 units.

The measure of line EF is 4 units.

The measure of line DF is 6 units.


Step-by-step explanation:

Given: ΔCAB ≅ ΔEDF

By CPCTC, corresponding sides both triangle are congruent.

Therefore

AC=DE.....(1),

AB=DF...(2),

BC=EF.........(3)

From (1),

DE=5 units

\\\Rightarrow5=3x+2\\\Rightarrow\ 3x=5-2\\\Rightarrow\ 3x=3\\\Rightarrow\ x=1

From (3)

EF=4 units

⇒ y= 4units

Now, DF= 2x+y=2(1)+4=6 units

Therfore, from (2), AB= 4 units.



You might be interested in
Which equation represents a proportional relationship that has a constant of proportionality equal to –10?
aksik [14]

Answer:

y = - 10x

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportionality

y = - 10x ← is the only equation in this form

Thus the equation is y = - 10x with k = - 10

4 0
4 years ago
Nate’s classroom has three tables of different lengths. Of 4
Lina20 [59]

Answer:

Step-by-step explanation:

I think you need to multiply 4 1/2x3 and 2 1/2x4 and then when you get the answers for both you add them together hopefully this works

3 0
3 years ago
8 - 2(3x + 4) simplify please show your work.
Reil [10]

Answer:

-6x

Step-by-step explanation:

=8+(−2)(3x)+(−2)(4)

=8+−6x+−8

Combine Like Terms:

=8+−6x+−8

=(−6x)+(8+−8)

=−6x

3 0
4 years ago
22 Your answer is INCORRECT In triangle ABC, an exterior ange at C measures 120 and mLA = 70. which is the shortest side or the
Snezhnost [94]

Answer:

  b)  AC

Step-by-step explanation:

Exterior angle C is the sum of interior angles A and B. If angle A is 70, then angle B is 120-70 = 50. Angle C is the supplement of its exterior angle, so is 180-120 = 60.

The smallest angle is B, so the opposite side, AC, is the shortest side.

8 0
3 years ago
need help it final assiement for quater can someone help me with a work sheet questions are like this
Ray Of Light [21]

The square is shown with a side length of 8 inches.

The area of a square is s^2, which can also be written as s x s, where a is the length of the side.

Area of the square would be 8 x 8 = 64 square inches.

The area of a circle is pi x r^2, where r is the radius. R is given as 3 inches.

The area of the circle is 3.14 x 3^2 = 28.26 square inches.

The shaded area is the square minus the circle.

The shaded area = 64 - 28.26 = 25.74 square inches.

The answer is 25.74 square inches.

8 0
3 years ago
Read 2 more answers
Other questions:
  • If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is
    13·1 answer
  • Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
    10·1 answer
  • What the answer to this question it’s 30 point
    6·1 answer
  • If the markup formula is 40% of cost and selling price of an item is 4999 what is the cost
    13·1 answer
  • Simplify 247+13 all the work please​
    11·1 answer
  • Noah’s family takes a trip. They travel 5.26 miles multiplied by 10 to the power of 2 miles each day. How many miles do they tra
    13·1 answer
  • Help please any experts???
    11·1 answer
  • Simplify 8(3 - 2x).<br><br> 16x - 24<br> 24x - 16<br> 24 - 16x
    8·2 answers
  • These are 2 different questions
    10·1 answer
  • Complete the<br> proportion<br> 3 is to 4 as 75 is to...
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!