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
morpeh [17]
3 years ago
12

Which triangles are congruent?plz help!!!!.

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0
The right answer is triangles ABC and MNO. Congruent triangles are triangles that have the same lengths of its three sides. To get the length of each side, use the distance formula with equation:
d =  \sqrt{( x_{2} -  x_{1}) ^{2}  +( y_{2} - y_{1} )^2 }

ABC and MNO have the same segment lengths of its correspoding sides:
AB = MN = 8 units
BC = NO = 6 units
AC = MO = 10 units
lora16 [44]3 years ago
3 0

Answer:

Option C. is correct

Step-by-step explanation:

In the triangle ABC, vertices are A(12, 8), B(4, 8) and C(4, 14)

AB = \sqrt{(12-4)^{2}+(8-8)x^{2}}=8

BC = \sqrt{(4-4)^{2}+(8-14)^{2}}=6

AC = \sqrt{(12-4)^{2}+(8-14)^{2})}=10

In triangle XYZ vertices are X(6,6), Y(4,12) and Z(10, 14)

XY = \sqrt{(6-4)^{2}+(6-12)^{2}}=2\sqrt{10}

YZ = \sqrt{(4-10)^{2}+(12-14)^{2}}=2\sqrt{10}

XZ = \sqrt{(10-6)^{2}+(14-6)^{2}}=4\sqrt{5}

In triangle MNO, vertices are M(4, 16), N(4, 8) and O(-2, 8)

MN = \sqrt{(4-4)^{2}+(16-8)^{2}}=8

MO = \sqrt{(4+2)^{2}+(16-8)^{2}}=10

NO = \sqrt{(4+2)^{2}+(8-8)^{2}}=6

In triangle JKL, vertices are J(14, -2), K(12,2) and L(20, 4)

JK = \sqrt{(14-12)^{2}+(-2-2)^{2}}=2\sqrt{5}

KL = \sqrt{(20-12)^{2}+(4-2)^{2}}=2\sqrt{17}

JL = \sqrt{(20-14)^{2}+(4+2)^{2}}=6\sqrt{2}

Now we compare the sides for the congruence

Since AB = MN = 8

BC = NO = 6

AC = OM = 10

So ΔABC ≅ Δ MNO

Option C. is correct

You might be interested in
Lebron makes 70% of his free throws. If he shoots 30 free throws, how many baskets will he make?
Phantasy [73]

Answer:

21 baskets

Step-by-step explanation:

7 0
3 years ago
Sellus
igor_vitrenko [27]

Answer:

3.9

Step-by-step explanation:

Given the data:

Payout ($) (x) : 0 2 4 8 10

Probability p(x) : 0.35 0.2 0.1 0.2 0.15

The expected winning ; E(X) = Σ(x * p(x))

Σ(x * p(x)) = (0*0.35)+(2*0.2)+(4*0.1)+(8*0.2)+(10*0.15)

= 0 + 0.4 + 0.4 + 1.6 + 1.5

= 3.9

8 0
3 years ago
Which of the following are the factors of 4b2 − 16?
slava [35]
4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)
4 0
3 years ago
Read 2 more answers
What is the sum of (2x4 + 5x3 - 8x2 - x + 10) and (8x4 - 4x3 + x2 - x + 2)?
balu736 [363]

Option D: 10x^4+x^3-7x^2-2x+12 is the right answer

Step-by-step explanation:

Given polynomials are:

P_1 : 2x^4+5x^3-8x^2-x+10\\P_2: 8x^4-4x^3+x^2-x+2

We have to find the sum of polynomials

So,

S = P_1+P_2\\= (2x^4+5x^3-8x^2-x+10) + (8x^4-4x^3+x^2-x+2)\\=2x^4+5x^3-8x^2-x+10+8x^4-4x^3+x^2-x+2\\

Combining like terms

=2x^2+8x^4+5x^2-4x^3-8x^2+x^2-x-x+10+2\\= 10x^4+x^3-7x^2-2x+12

Hence,

Option D: 10x^4+x^3-7x^2-2x+12 is the right answer

Keywords: Polynomials, sum

Learn more about polynomials at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
Slope of 5,2 and 6,2
maria [59]

Answer:

The slope is 0

Step-by-step explanation:

(2-2) divided by (6-5) equals to 0 which is the Slope

\frac{2-2}{6-2} \\\\

7 0
3 years ago
Other questions:
  • Carmencita is 12 years old and she is saving for a car. She wants to have $5,000 by the time she is 16 years
    13·1 answer
  • Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $675. I
    6·2 answers
  • What are the measures of Arc J K and ∠KIJ?
    15·2 answers
  • Algebra Help please?
    8·1 answer
  • Alex swims at an average speed of 45 m/min. How far does he<br> swim in 1 min 24 sec?<br> m
    14·2 answers
  • A sushi restaurant makes 12 types of sushi rolls each day. They also offer 7 sashimi plates. A popular combination platter at th
    15·1 answer
  • If 16 oz of granola cost 5.99 how much does 1 oz of granola cost?
    8·1 answer
  • WHAT IS THE RELATIONSHIP BETWEEN EXPONENTIAL AND LOGARITHMIC FUNCTIONS? WHAT IS AN EXAMPLE OF AN EXPONENTIAL FUNCTION AND ITS IN
    14·1 answer
  • Do the sample standard deviations target the value of the population standard​ deviation? In​ general, do sample standard deviat
    6·1 answer
  • Hey help me pls:<br>!!!!!!​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!