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telo118 [61]
3 years ago
11

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
ioda3 years ago
7 0

<u>Answer:</u>

x = 50

<u>Step-by-step explanation:</u>

We are given a diagram showing two vertically opposite angles and we are to find the value of x.

We know that when two lines intersect each other, vertically opposite angles are formed which are equal to each other.

Therefore, we can write them as:

2 ( x + 1 0 ) = 3 x - 3 0

2 x + 2 0 = 3 x - 3 0

3 x - 2 x = 2 0 + 3 0

x = 50

ArbitrLikvidat [17]3 years ago
5 0

Answer:

50 =x

Step-by-step explanation:

The two angles are vertical angles, so they are equal

2 (x+10) = 3x-30

Distribute the 2

2x+20 = 3x-30

Subtract 2x from each side

2x-2x+20 = 3x-2x-30

20 = x-30

Add 30 to each side

20+30 = x-30+30

50 =x

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ANEK [815]

ANSWER

B) 15

EXPLANATION

The given polynomial is

23 {x}^{5}  + 12 {x}^{2}  + 19 { x }^{3}  + 15 {x}^{6}

We arrange this polynomial in ascending powers of x to obtain the standard form;

15 {x}^{6} + 23 {x}^{5}    + 19 { x }^{3} + 12 {x}^{2}

The degree of this polynomial is 6.

The coefficient of the leading term is 15

6 0
4 years ago
Find each value of the five-number summary for this set of data. [Note: Type your answers as numbers. Do not round.] 46, 19, 38,
frozen [14]

Answer:

Maximum : 51

Minimum: 12

Median: 38

Lower quartile: 19

Upper quartile: 46

Step-by-step explanation:

To answer this question, we first order the data from largest to smallest:

46, 19, 38, 27, 12, 38, 51

12, 19, 27, 38, 38, 46, 51

It can be seen that the maximum value is:

51

The minimum value is

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Let's call N the amount of data.

To calculate the quartiles we use the following formula:

Q_1 = X_{\frac{1}{4}(N + 1)}

So:

Q_1 = X_{\frac{1}{4}(7 + 1)}

Q_1 = X_2

Where X_2 is the data number 2.

Q1 = 19

As the number of data is imapar, then, the median is the central data:

12, 19, 27, {38}, 38, 46, 51

Median = 38

Finally:

Q_3 = X_ {\frac{3}{4}(n + 1)}\\\\Q_3 = X_ {6}

Where X_6 represents the data number 6

Q_3 = 46

4 0
3 years ago
going against the current a boat takes 6 hours to make a 120 mile trip when the boat travels with the current on the return trip
Irina18 [472]
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Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

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Equivalent fractions for 3/5
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9/15

6/10

12/20

15/25

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Hope this helps!! :)
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