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
JulijaS [17]
3 years ago
10

Find the value of x and y that make these triangles congruent by HL.

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:  the correct option is (A) x = y = 2.

Step-by-step explanation:  We are given to find the values of x and y that makes the triangles in the figure congruent by HL.

From the figure, we note that

triangles ABC and AED are right-angled triangles with hypotenuse AC, AD and one congruent side BC, ED.

Also, AC = 2x + 3, AD = 3y+1, BC = x  and  ED = y.

Since the triangles are congruent by HL postulate, so we must have

x=y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x+3=3y+1~~~~~~~~~~~~~~~~~~~~(ii)

Substituting the value of x from equation (i) in equation (ii), we get

2x+3=3x+1\\\\\Rightarrow 3x-2x=3-1\\\\\Rightarrow x=2.

So, from equation (i), we arrive at

x = y = 2.

Thus, the correct option is (A).

hram777 [196]3 years ago
5 0
The answer is A). x=2 y=2
You might be interested in
Estimate. Them multiply. Use your estimate to check your answer. For 18×8
frez [133]

Answer:

120

Step-by-step explanation:

18x8 is 124 but if you estimate then it is 120 bc 4 or less let it rest 5 or more add one more.

7 0
3 years ago
Need help with this....
emmainna [20.7K]
There is no outliers though 102 and 9 are the furthest numbers from the rest, but not a significant outlier
5 0
3 years ago
Is this correct? I don’t understand
omeli [17]

Answer:

yes it is correct

Step-by-step explanation:

subtract |p| from |p+q| to get |q|

5 0
3 years ago
Daniella is interviewing for a job. She wants her take-home pay to be at least $51,000.
Rzqust [24]
The answer is going to be 3,495
4 0
2 years ago
Which best describes this triangle?
son4ous [18]
Two sides are the same length one angle measures 90 degrees
7 0
3 years ago
Other questions:
  • Victor drew trapezoid PQRS on a coordinate plane p(7,4) q(10,4) r(13,-1) s(8,-1) what is length in units of side ps
    5·1 answer
  • A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
    10·1 answer
  • 10m3 of air weigh 13 kg. Chapter Reference c How much does the air weigh in a room 4.2m long, 3.5m wide, and 2.6m high?
    11·1 answer
  • Rachel mows 5 lawns in 8 hours. At this rate, how many lawns can she mow in 40 ?hours?
    13·1 answer
  • PLEASE HELP!! NEED ASAP 100 POINTS!!
    15·2 answers
  • What would x be if the problem is 2x+13
    6·1 answer
  • ∠DGC and ∠CGB are _ angles.
    8·2 answers
  • Con un diámetro de 4x y un ares de 28.26cm cual es el valor de X
    13·1 answer
  • Solve this one step equation<br> -6+y=2
    9·2 answers
  • -[24/6 + (-8)(2)^2-3] +92​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!