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1 year ago

How can I find X and Y in this diagram?

Mathematics

1 answer:

Nastasia [14]1 year ago

7 0

Given the figure of a cyclic quadrilateral

The sum of the opposite angles = 180

so, we can write the following equations:

$\begin{gathered} x+100=180\rightarrow(1) \\ 2y+102=180\rightarrow(2) \end{gathered}$

we will find (x) from equation (1):

x = 180 - 100 = 80

We will find (y) from equation (2):

2y = 180 - 102

2y = 78

y=78/2 = 39

So, the answer will be:

x = 80

y = 39

You might be interested in

Suppose 300 nursing students took a certification test that is worth 100 points.

Alja [10]

Answer:

225 students scored 65 or better and 75 students scored 88 or better.

Step-by-step explanation:

We are given that The five-number summary for the scores of 300 nursing students are given :

Minimum = 40

$Q_1 = 65$

Median = 82

$Q_3 = 88$

Maximum = 100

$Q_1$ is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below $Q_1$ and about 75% lie above $Q_1$ .

$Q_3$ is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie below $Q_3$ and about 25% lie above $Q_3$

i) .About how many students scored 65 or better?

$Q_1 = 65$

Since we know that 75% lie above $Q_1$ .

So, Number of students scored 65 or better = $75\% \times 300 = \frac{75}{100} \times 300 =225$

ii)About how many students scored 88 or better?

$Q_3 = 88$

Since we know that 25% lie above $Q_3$

So, Number of students scored 88 or better = $25\% \times 300 = \frac{25}{100} \times 300 =75$

Hence 225 students scored 65 or better and 75 students scored 88 or better.

7 0

3 years ago

Convert 3.5 • 10^4 to standard form.

timofeeve [1]

$3.5\cdot10^4=35000$

7 0

3 years ago

Which choice is equivalent to the product below when x > 0?

anastassius [24]

The product below is equivalent when x > 0 is <u>1/9</u>

<h3>Resolution - Explanation</h3>

Square root is a real number x multiplied by itself - which results in a perfect value, where it is possible to calculate the real proof (which is the square root).

Given the expression, $\large \sf \sqrt{\dfrac{1}{x^{2} } } \cdot \sqrt{\dfrac{x^{2} }{81} }$ , first step: we will calculate the root of the numerator and denominator of this fraction:

<u />

<u /> $\\\large \sf \sqrt{\dfrac{1}{x^{2} } } \cdot \sqrt{\dfrac{x^{2} }{81} }$

$\large \sf \dfrac{\sqrt{1} }{\sqrt{x^{2} } } \rightarrow \dfrac{1}{x}$

$\large \sf \dfrac{\sqrt{x^{2} } }{\sqrt{81 } } \rightarrow \dfrac{x}{9}\\\\$

Step two: rearranging the expression and canceling the common factors x, we will have,:

$\\\large \sf \dfrac{1}{\not x} \cdot \dfrac{\not x}{9}$

$\pink{\boxed{\large \sf \dfrac{1}{9} }}\\$

Therefore, the final answer to this multiplication will be 1/9.

6 0

2 years ago

What is the result of 2÷4/10

leonid [27]

Answer:

0.05

Step-by-step explanation:

that is the answer

6 0

3 years ago

Read 2 more answers

What 2 numbers multiply to be 108 but subtract to be 6

mel-nik [20]

No 2 numbers do this.

Possible numbers that can multiply to 108:

<span>1 x 108 = 108
2 x 54 = 108
3 x 36 = 108
4 x 27 = 108
6 x 18 = 108
9 x 12 = 108
12 x 9 = 108
18 x 6 = 108
27 x 4 = 108
36 x 3 = 108
54 x 2 = 108
108 x 1 = 108

Possible numbers on that list that when subtracted equate to 6:

None</span>

3 0

3 years ago