answer.
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
timofeeve [1]
2 years ago
8

Find the value of a that satisfies the congruency of the triangles. In two or more complete sentences, explain the relevance bet

ween the congruency of the triangles and the calculations made in finding the value of a.

Mathematics
1 answer:
Vinvika [58]2 years ago
5 0

Answer:

a=√2

Step-by-step explanation:

Given : ΔEGF ≅ ΔHKJ

where ∠G=∠K [right angle]

∠E=∠H=45°

And ∠F=180°-∠E-∠G [By angle sum property]

⇒∠F=180°-45°-90°

⇒∠F=45°=∠J  [corresponding parts of two congruent triangles are congruent]

⇒ Both triangles are isosceles right triangles such that

JK=HK=b , EG=GF

and EF=JH

Now JK=HK= EG=GF=3√2

Now GF=3a=3√2

⇒a=√2

You might be interested in
The probability that a random smoker will develop a sever lung condition during his or her lifetime is 0.3. we will choose a ran
postnew [5]
The mean is 36 and the standard deviation is 5.02.

The mean is given by
μ = np = 120*0.3 = 36.

The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
8 0
2 years ago
Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers
nikklg [1K]
__7_|_35+63_
_____|__9+5__
35+63=7(9+5)=7<span>14=98 or 35+63=98</span>
3 0
2 years ago
Describe how to estimate a non-perfect square root to the hundredths place without using a calculator.
GaryK [48]
1) find the perfect square closest to the number
2) take that square root, and then divide your number by that number
3) take the average of the perfect square root (the whole number) and the result of dividing your original number by that root. 

Example: Approximate square root of 27
Closest perfect square: 25
Square root: 5
27 ÷ 5 = 5.4
Average between 5 and 5.4 = 5.20
5.2² = 27.04. Fast and not a bad approximation!
8 0
2 years ago
Read 2 more answers
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. Y + 2.3 = 0.45x and -2y = 4
HACTEHA [7]

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

4 0
2 years ago
Read 2 more answers
Julio Ernesto earns $15 an hour at his part-time job. Last week he worked 26 hours, and 45 minutes.. What was his gross pay for
zmey [24]

Answer:I need help on my question pls help me

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Avery and her friends attend a museum. It costs $5 to enter the main exhibit hall, with an added charge of $3 to view each speci
    10·1 answer
  • Determine the points of intersection of the given functions. y = –x2 + 3x + 20 y = –2x + 15 Describe the features of the graphin
    5·2 answers
  • PLEASE HELP WITH WHERE TO DOT!!!
    5·2 answers
  • Which is equivalent to (9y2-4x)(9y2+4x) , and what type of special product is it?
    15·2 answers
  • 1:
    7·1 answer
  • Write an exponential function in the form y=ab^x that goes through points (0,17) and(9,8704).
    6·1 answer
  • The polygons in each pair are similar. Find the missing side length.
    8·1 answer
  • A certain reaction is endothermic in the forward direction. The reaction has less moles of gas on the product side. Which of the
    8·1 answer
  • The Tip Top Tennis Balls manufacturing company makes and sells tennis balls. The revenue (in dollars) that the company receives
    11·1 answer
  • A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!