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Viktor [21]
3 years ago
12

Find the m<bac, if m<dec= 58 and m<edc =43a. 43b. 58c. 79d. 101

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0

Answer:

<u><em>79 Degrees</em></u>

Step-by-step explanation:

Find the m∠BAC, if m∠DEC = 58° and m∠EDC = 43°.

43°

58°

<u><em>79°</em></u>

101°

Odyssey

mamaluj [8]3 years ago
5 0
We are looking to figure out the size of m<CAB
Since line AB is parallel to the line CD, m<CAB corresponds to m<ECD which means the size of the angles equals
m<ECD can be found by using the fact that angles in a triangle add up to 180°,
hence, 180°-58°-43°=79°

The size of m<CAB is 79°

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Detailed answers appreciated: (7a -4) (2a -5)
igor_vitrenko [27]
Expand the expression?

Perform indicated multiplication:

7a(2a)+7a(-5)-4(2a)-4(-5)

14a^2-35a-8a+20  combine like terms, ie (-35a-8a)=-43a

14a^2-43a+20
5 0
2 years ago
Read 2 more answers
Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one
babymother [125]

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0
2 years ago
Acellus
taurus [48]

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

8 0
3 years ago
5. Given: BCDF is a parallelogram; line AB is congruent to line BF
solong [7]
A and E are corresponding angles so A=E
3 0
2 years ago
Which statement shows that 6.24 is a rational number?
sp2606 [1]

Answer:

B

Step-by-step explanation:

8/33 = 0.24242424 ...

so 6.24 repeating = 6 8/33 which is rational. It can be represented by

206/33 which is a fraction and hence rational

7 0
2 years ago
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