All categories

3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.

Mathematics

2 answers:

Ber [7]3 years ago

8 0

Answer:

Option D.

LA Theorem or Postulates

Explanation:

LA theorem or postulates is leg-acute states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

In $\triangle ACB$ and $\triangle DFC$

$\angle C =\angle F = 90^{\circ}$ [Given]

$\angle B = \angle E$ [Acute angle] [Given]

$BC=EF$ [Given]

By LA theorems or postulates,

$\triangle ACB \cong \triangle DFE$

Therefore, LA theorems or postulates support the conclusion that the triangles are congruent.

notka56 [123]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find th

Genrish500 [490]

Answer:

AED 3400

Step-by-step explanation:

The perimeter of the rectangular orchard is twice the sum of length and width, so is ...

P = 2(L+W) = 2(39 m +46 m) = 170 m

At a cost of 20/m, the cost of fence is ...

cost = (AED 20/m)·(170 m) = AED 3400

5 0

3 years ago

Who here knows how to construct a hexagon using a compass,straight-edge, and circle.

allsm [11]

1. Draw a circle
2. Keeping your compasses open the same distance stick the point on the edge of the circle and draw two little arcs that cut the circle.
3. Stick the point in one the arcs and draw another arc further along the circle. Repeat until you have 6 arcs marked.
4. Use a ruler or straight edge to join up the arcs.

4 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places. HELP PLEASE PLEASE HELP PLEASE ASAP PLEASE

Assoli18 [71]

the award is a x=1.43

6 0

4 years ago

Divide.

Nataliya [291]

Answer:

2/7

Step-by-step explanation:

The quotient is ...

$\dfrac{-16}{-56}=\dfrac{2\cdot8}{7\cdot8}=\boxed{\dfrac{2}{7}}$

A common factor of -8 can be cancelled from numerator and denominator.

3 0

3 years ago

Find the probability of exactly four successes in five trials of a binomial experiment in which the probability of success is 40

hodyreva [135]

Answer:

p(4 successes) ≈ 7.7%

Step-by-step explanation:

p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)

You have n=5, k=4, p=0.4, so the probability is ...

p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768

p(4 successes) ≈ 7.7%

8 0

4 years ago

Read 2 more answers