All categories

3 years ago

Please help

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

Step-by-step explanation:

3x + 7 + 9x - 43 = 180

12x = 216

x = 18

m∠4 = 3(18) + 7 = 61°

m∠5 = 9(18) − 43 = 119°

You might be interested in

Which graph represents the solution for x2 + x - 12 > 0?

igomit [66]

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A recent kellogg survey shows that approximately 34% of americans eat breakfast. suppose alex takes a random sample of four amer

vlabodo [156]

This kind of experiments are ruled by Bernoulli's formula. If you have probability p of "success", and you want k successes in n trials, the probability is

$\binom{n}{k}p^k(1-p)^{n-k}$

It's easier to compute the first probability by difference: instead of computing the probability of the event "at least one of the surveyed eats breakfast", let's compute the probability of its contrary: none of them eats breakfast. So, we want 0 successes in 4 trials, with probability of success 0.34. The formula yields

$\binom{4}{0} 0.34^0 0.64^4 = 0.64^4 \approx 0.17 = 17\%$

Since the contrary has probability 17%, our event "at least one of the surveyed eats breakfast" has probability 83%.

As for the second question, the event "at least three of the surveyed eats breakfast" is the union of the events "exactly three of the surveyed eats breakfast" and "exactly four of the surveyed eats breakfast". So, we just need to sum their probabilities:

$\binom{4}{3} 0.34^3 0.64^1 +\binom{4}{4} 0.34^4 0.64^0 = 4\cdot 0.34^3 0.64 + 0.34^4 \approx 0.11 = 11\%$

3 0

3 years ago

Which number line represents the solution 6x < 42 ?

Elan Coil [88]

Answer:

first one it is {all -,7}

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Cfrac%20%7B%20%5Csqrt%20%5B%203%20%5D%20%7B%20x%20%5E%20%7B%202%20%7D%20-%204%20x%20%2B%204%

Fittoniya [83]

Answer:

Step-by-step explanation:

$\sqrt[3]{\dfrac{(x-2)^2}{(x+4)(x-2)} } =\sqrt[3]{\dfrac{(x-2)}{(x+4)} }$

5 0

3 years ago

What is the value of y? a. 30 b. 120 c. 60 d. 180

Oksana_A [137]

Okay, so we know the first triangle is an equilateral and the second is an isosceles. (the lines indicate congruence)

To find x, we have to figure out the other triangle's angles.

Since it is equilateral, all its sides are 60 degrees.

All triangles angles add up to 180. 180/3= 60

To find x we subtract the angle beside it by 180 to find the angle's degree.

180-60= 120. x= 120.

Since it is an isosceles, the last two angles are the same.
Subtract the vertex from 180.

180- 120= 60

Divide that by 2. (since there are two angles)

y= 30 Or choice A.

3 0

4 years ago