All categories

3 years ago

Given

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

Answer:

∠CBD = 125°

Step-by-step explanation:

The angle sum theorem tells you that ...

∠ABC +∠CBD = ∠ABD

8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°

17x -24° = 180° . . . simpify

17x = 204° . . . . . . add 24°

x = 12° . . . . . . . . . . divide by 17

Now the measures of the angles can be found from their expressions.

∠ABC = 8(12) -41° = 55°

∠CBD = 9(12) +17° = 125°

You might be interested in

HELPPP!!!!! Plzzzz!!

Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards = 1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

$P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}$

$P_1=\dfrac{2}{6}$

$P_1=\dfrac{1}{3}$

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

$P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}$

$P_2=\dfrac{1}{5}$

The probability of drawing 2 even numbers is:

$P=P_1\times P_2$

$P=\dfrac{1}{3}\times \dfrac{1}{5}$

$P=\dfrac{1}{15}$

Therefore, the probability of drawing 2 even numbers is $\dfrac{1}{15}$ . Hence, the correct option is (b).

5 0

3 years ago

Idk wat to do..... ........

oksano4ka [1.4K]

Answer:

Mean : 95

Median : 85

Mode : 90

Part B : Impossible

Step-by-step explanation:

We can make an equation to find the mean using the first 5 history test scores.

$85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95$

So a 95 would be needed to have a mean of 85.

Next, the median.

First, we sort the first 5 history scores from least to greatest.

We get 75, 75, 80, 90, 95.

Since, 80 is the middle value, it will be used in the calculation of the median.

We can make an equation with this.

$82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85$

So a score a 85 would be needed to have a median of 82.5

Thirdly, the mode.

Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).

Finally, Part B.

We can use the equation we had for the first mean calculation but change 85 to 90.

$90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125$

So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.

8 0

4 years ago

Please help i am being timed i beg you please help

Viefleur [7K]

There is no photo attached

6 0

3 years ago

Read 2 more answers

Given the data, as shown in the image below, determine if the distribution is uniformly distributed, symmetrically distributed,

Sedbober [7]

Answer:

The distribution is symmetric.

Step-by-step explanation:

The distribution will be skew left, if the data is more distributed on left side of graph.

The distribution will be right left, if the data is more distributed on right side of graph.

The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.

The distribution is uniform if the value of data remains constant throughout the graph.

Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.

Thus, distribution is symmetric.

8 0

3 years ago

2x^3y + 18xy - 10x^2y - 90y Part A: Rewrite the expression so that the GCF is factored completely.

KATRIN_1 [288]

2(x^3y+9xy-5x^2y-45y)

4 0

3 years ago