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2 years ago

[WILL MARK BRAINLIEST] Determine whether the triangles below are congruent.

Mathematics

1 answer:

jeka57 [31]2 years ago

3 0

Answer:

Step-by-step explanation:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Answer:

D) There is not enough information to determine congruency would be Ur best choice.

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. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar

yaroslaw [1]

Answer:

a) 59.34%

b) 44.82%

c) 26.37%

d) 4.19%

Step-by-step explanation:

(a)

There are in total 4+5+6 = 15 bulbs. If we want to select 3 randomly there are K ways of doing this, where K is the combination of 15 elements taken 3 at a time

$K=\binom{15}{3}=\frac{15!}{3!(15-3)!}=\frac{15!}{3!12!}=\frac{15.14.13}{6}=455$

As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.

So, the probability of selecting exactly 2 bulbs of 75 W is

$\frac{270}{455}=0.5934=59.34\%$

(b)

The probability of selecting three 40-W bulbs is

$\frac{4*3*2}{455}=0.0527=5.27\%$

The probability of selecting three 60-W bulbs is

$\frac{5*4*3}{455}=0.1318=13.18\%$

The probability of selecting three 75-W bulbs is

$\frac{6*5*4}{455}=0.2637=26.37\%$

Since the events are disjoint, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%

(c)

There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is

$\frac{6*5*4}{455}=0.2637=26.37\%$

(d)

The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, supposing there is no replacement, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.

As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is $\frac{9}{15}=0.6$

Since there are no replacement, the probability of taking a second non 75-W bulb is now $\frac{8}{14}=0.5714$

Following this procedure 5 times, we find the probabilities

$\frac{9}{15},\frac{8}{14},\frac{7}{13},\frac{6}{12},\frac{5}{11}$

which are

0.6, 0.5714, 0.5384, 0.5, 0.4545

As the events are independent, the probability of choosing 5 non 75-W bulbs is the product

0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%

3 0

3 years ago

What does he mean on question one

Katarina [22]

You plug -2 in for the function k(p) and add it to the function g(w), getting
(-2+3)*(-2-7)+(-2-5)^2=1*-9+49=40 for a - I challenge you to do B on your own!

6 0

3 years ago

Emelina wrote the equation of a line in point-slope form as shown below.

Harman [31]

Answer: $y=3x+2$

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

$(y+4)=3(x+2)$

To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

$y+4=3x+6$

Now, subtract 4 from both sides , we get

$y=3x+2$

Hence, Emelina’s equation in slope-intercept form : $y=3x+2$

6 0

3 years ago

Read 2 more answers

What is the length of the hypotenuse of the right triangle shown below? If necessary, round your answer to the nearest hundredth

kolezko [41]

It is ten units, as the two sides are of 6 and 8 so you must square them both, add them together (which gives you 100) and then square root that, which gives you 10

8 0

3 years ago

Read 2 more answers

What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of

Harrizon [31]

Answer:

9 : 1

Step-by-step explanation:

given a linear ratio = a : b, then the corresponding area ratio is

a² : b²

Here the linear ratio of their edges = 3 : 1, hence

ratio of surface areas = 3² : 1² = 9 : 1

4 0

3 years ago

[WILL MARK BRAINLIEST] Determine whether the triangles below are congruent.​

[WILL MARK BRAINLIEST] Determine whether the triangles below are congruent.