All categories

3 years ago

By which rule are these triangles congruent? АА SAS SSA AAS

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

it's AAS is my opinion

Step-by-step explanation:

Mashutka [201]3 years ago

4 0

Answer:

AAS

Step-by-step explanation:

we can eliminate two of the answer choices from the start. AA and SSA do not prove triangle congruence. we are then left with SAS and AAS. we can see that there is one pair of sides and one pair of angles marked congruent on the triangles. the triangles are formed by intersecting lines which form vertical angles. according to the vertical angles theorem, those two angles will be congruent. therefore, these triangles are proven congruent by AAS. hope this helps!

You might be interested in

1A) Quad ABCD is inscribed in the circle. Find x. *

Ratling [72]

Step-by-step explanation:

2x + 9° + 3x + 1° =180° (opposite angles of a cyclic quadrilateral are supplementary)

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 34°

Now

Angle A

= 2 * 34° + 9°

= 77°

Hope it will help :)❤

3 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

4 0

3 years ago

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24

deff fn [24]

Answer:

a - neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

5 0

3 years ago

Indicate below whether the equation in the box is true or false 1/8 = to 2/4 true or false

Semenov [28]

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

8 0

3 years ago

The amount of money in Nadia’s savings account is represented by the recursive formula an=1.025(an-1)+50 if a6=291.51 what are t

Elis [28]

Recursive formula is one way of solving an arithmetic sequence. It contains the initial term of a sequence and the implementing rule that serve as a pattern in finding the next terms. In the problem given, the 6th term is provided, therefore we can solve for the initial term in reverse. To make use of it, instead of multiplying 1.025, we should divide it after deducting 50 (which supposedly is added).

Therefore, we perform the given formula: A (n) = 1.025(an-1) + 50
a(5) =1.025 (235.62) + 50 = 291.51

a(4) = 1.025 (181.09) + 50 = 235.62

a(3) = 1.025 (127.89) + 50 = 181.09

a(2) = 1.025 (75.99) + 50 = 127.89

a(1) = 1.025 (25.36) + 50 = 75.99

a(n) = 25.36

The terms before a(6) are indicated above, since a(6) is already given.

So, the correct answer is A. $25.36, $75.99.

3 0

3 years ago