Which of these numbers are the largest 4.12 or 4.21

I will give a brainlest, i promise, please help me with this.

valkas [14]

Answer:

1) b and m

2) m∠8=m∠6

3) 160°

4)x=60°

Step-by-step explanation:

1) all straight lines sum to 180°

subtract the angles given from 180°

the other angle for b is 25°, while the other angle for m is 155°

so we can see that the angles for both lines are the same, hence they are parallel.

2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4

in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.

3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°

(2x-16)°+(7x+20)°=180°

we get x=20(nearest whole number)

∠CED=7x+20=7(20)+20=160°

4) since we need to show that they are parallel,

(2x+30)°=(4x-90)°

2x-4x=-90-30

-2x=-120

x=60

we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)

I hope u understand it the way I put it.

8 0

2 years ago

In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student

Blababa [14]

Since two people take both courses, we can subtract two from 7, 8, and 21, giving us 5, 6, and 19.

Add 5 and 6 together to get 11. Since eleven students are in those two groups, we can answer this. The answer will be 11/19.

3 0

2 years ago

6 boxes of 3-inch incense sticks for $22.75 is a better buy than 8 boxes for $30 and 10 boxes for $38.00

enot [183]

Answer:

Step-by-step explanation:

22.75/6 boxes is $3.79 per box

30/8 boxes is $3.75 a box

38/10 boxes is $3.80 a box

68/18=3.70 a box if you combine the last two.

So no, the 6 boxes at $3.79 a box is not a better buy.

6 0

2 years ago

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$