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antoniya [11.8K]
2 years ago
10

The following figures are not drawn to scale but AB and CD are straight lines. Find x.

Mathematics
2 answers:
leonid [27]2 years ago
7 0
Answer:

x = 30

Step-by-step explanation:

2x + 90° + x = 180°

3x + 90° = 180°

3x = 90°

x = 90/3

x = 30
PSYCHO15rus [73]2 years ago
4 0

Answer:

30

Step-by-step explanation:

90° + x + x+ x = 180  {Straight line angles}

90 + 3x = 180

Subtract 90from both sides

3x = 180- 90

3x = 90

Divide both sides by 3

x = 90/3

x = 30

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Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs.
slega [8]
<h2>Answer:</h2>

The  the number of students who sign up for all three clubs = 6

<h2>Step-by-step explanation:</h2>

The total number of students in the class is given by:

Total number of students= Number of students in poetry club+Number of students in history club+Number of students in writing club-Number of students in exactly 2 clubs-2×Number of students in all the three clubs.

Based on the information we have:

Total number of students= 59

Number of students in poetry club= 22

Number of students in history club= 27

Number of students in writing club= 28

and number of students in exactly two clubs=6

Let the number of students in the three club= x

Hence, we have:

59=22+27+28-6-2x

i.e.

59=71-2x

i.e.

2x=71-59

i.e.

2x=12

i.e.

x=6

Hence, the answer is: 6

4 0
3 years ago
Which quadratic regression equation best fits the data set?
nata0808 [166]

Answer: y = 1.87x^2 -5.16 x + 10.54

Step-by-step explanation:

Since the general quadratic equation is,

y = ax^2 + bx+c

Here the given table is,

x           1             2              3            4               5              6             7

y          5.9        8.9          13.4         20.1          30.1         45.1        67.7

By the graphing calculator,

a = 1.87024 ≈ 1.87

b= -5.15833 ≈ -5.15

c = 10.5429 ≈ 10.54

By putting the values of a, b and c,

The required quadratic equation is,

1.87 x^2 -5.15x + 10.54

⇒ First Option is correct.

6 0
4 years ago
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DedPeter [7]
Expression: 37 + x

explanation:

~ 3x2 + 4x + 5

~ So, x + 37 km
5 0
3 years ago
a photographer charges $20 every 15 minutes. How can I show this using variable(s), and what would the variable(s) mean​
Helga [31]
The equation would be T=20+15m, although it doesn’t matter which variables you use. The T stands for the total amount of money and the m stands for how many minutes there are.
5 0
3 years ago
Why road man holes build in circul type
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Answer: where is the question

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