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Alja [10]
2 years ago
14

PLZ HELP I NEED AN ANSWER NOW I WILL MARK BRAINLYEST

Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

Answer:

Δ MNO ≅ ΔXYZ by AAS postulate.

Step-by-step explanation:

Given:

\angle M=\angle X, \angle N=\angle Y, and YO = NZ.

Consider YO = NZ

Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

   Statement                                                 Reason

1. \angle M=\angle X                                            Given

2. \angle N=\angle Y                                           Given

3. YZ = NO                                            ∵ YO = NZ

Therefore, the two triangles Δ MNO and ΔXYZ are congruent to each other from AAS postulate as two corresponding angles and a corresponding side are equal to each other.

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Use the frequency distribution, which shows the number of American voters (in millions) according to age, to
a_sh-v [17]

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages                Frequency

18 to 20             4.2

21 to 24             7.8

25 to 34           20.8

35 to 44           23.7

45 to 64           50.1

<u>65 and over       28.2</u>

<u>∑                        134.8</u>

The probability of an event is given by the occurrence of an event by the total occurrences .

So

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

7 0
3 years ago
find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker
kumpel [21]

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = ^{52}C_8

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = ^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1  [since 1 suit has 13 cards]

The required probability = =\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}

=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757

Hence, the required probability is 0.003757 (approx).

5 0
3 years ago
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 +
ki77a [65]

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

Option → B

7 0
3 years ago
What is the range of f(x) = – 4?
Andre45 [30]
The answer is -4. The range is the y-value and when you  say f(x) that is the same thing as y, so if f(x) = -4 that means y = -4 which means the range is -4.
5 0
3 years ago
Read 2 more answers
Answerrr now. Plsss<br> :)
Lesechka [4]

Answer:

Alternate exterior

Step-by-step explanation:

They are on opposite sides and both exterior

4 0
3 years ago
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