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AveGali [126]
3 years ago
15

What theorem or postulate can be used to justify that the two triangles are congruent?

Mathematics
2 answers:
qwelly [4]3 years ago
8 0

The theorem or postuale that can be used to justify that the two triangles are congruent is the Angle-Side-Angle postulate (ASA).

nekit [7.7K]3 years ago
5 0
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent (Angle-Side-Angle or ASA).
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Find the value of x please!!!
pav-90 [236]

Answer:

your answer is 20 because you subtract 110 by 90 because that is a right angles and all right angles are 90 degrees.

Step-by-step explanation:

4 0
3 years ago
Find the x-intercept of the line whose equation is 8x + 2y = 4.<br> 04<br> 02<br> 1/2
bezimeni [28]

Answer:

1/2

Step-by-step explanation:

The x-intercept is a point on the graph that is located on any point of x but must have a y-value of 0. To find the x-intercept, we must set y in the given equation equal to 0.

8x + 2y = 4

8x + 2(0) = 4

8x = 4

x = 4/8

x = 1/2

4 0
2 years ago
Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0
3 years ago
Read 2 more answers
Kyla works as a receptionist. Last week she made $236.40 for working 24 hours. About how many hours would she need to work to ea
kow [346]

Answer:

32.99

Step-by-step explanation:(you might have to round) if you have to round it or.. but this is it because

236.40 divided by 24 is 9.85 so

325 divided by 9.85 is 32.99 (you only need 2 decimal places for these kinds of questions because of repeating decimals).

Hope this helps :)

8 0
3 years ago
Carlos has dimes and quarters in his
Iteru [2.4K]

Answer:

9 Quarters, 3 dimes

Step-by-step explanation:

$2.00 = 8 quarters

25cents = 1 quarter

$2 + 25 cents = $2.25

2.55 - 2.25 = .30

30cents = 3 dimes.

Hope this is right.

There were many ways to do this. But this is 1 way.

soooo ya...

7 0
3 years ago
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