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3 years ago

What is the value of x?

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

(10 + 3x)° + (x - 30)° = 180°

(3x + x)° + (10 - 30)° = 180°

4x° - 20° = 180°

4x° = 180° + 20°

4x° = 200°

x° = 200/4

x° = 50°

So, the value of x is 50°

Hope it helps and is useful :)

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A square with side lengths of 3 cm is reflected vertically over a horizontal line of reflection that is 2 cm below the bottom ed

oksian1 [2.3K]

Answer:

a) 4 cm

b) 5 cm

c) 10 cm

Step-by-step explanation:

The side lengths of the reflected square are equal to the original, and the distance from the axis(2) also remains the same. From there, it is just addition.

Hope it helps <3

5 0

3 years ago

The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos

JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

$Z = \frac{x-mean}{S.D}$

Given X = $410

$Z = \frac{410-500}{75} = - 1.2$

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

= 0.5 - A( -1.2)

= 0.5 - A(1.2)

= 0.5 - 0.3849 ( ∵from normal table)

= 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0

3 years ago

A month of the year is chosen at random. What is the probability that the month starts with the letter Jor the letter M?

tamaranim1 [39]

Answer:

5 out of 12

5/12

January, March, May, June, July

There are three months whose name starts with the letter 'j': January, June, July

There are two months whose name starts with the letter 'm': March, May

So altogether, there are 5 months whose name starts with the letter 'j' or 'm'. So the possible outcome is 5 and total number of sample space is 12.

Therefore the required probability is: 5/12

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4 0

3 years ago

Read 2 more answers

Evaluate 5! + 2!. Idk what is it

Sedbober [7]

Answer:

122

Step-by-step explanation:

If a number has an explanation point on the side of it, you should multiply all numbers that are equal to are less than that number.

$5!=5*4*3*2*1=120\\2!=2*1=2\\120+2=122$

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3 years ago

Which statements about the relationship between the two triangles below are true? Check all that apply,

leva [86]

Answer:

I don't know, because i really don't know

3 0

3 years ago