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3 years ago

Use the figure below and determine the value of x PLS HELP

Mathematics

2 answers:

koban [17]3 years ago

8 0

(2x + 3) + (x+1) + (3x-10) = 180
6x - 6 = 180
6x = 186
x= 31

jek_recluse [69]3 years ago

7 0

Answer:

x = 31 degrees

Step-by-step explanation:

First things first, all angles of a triangle add up to 180 degrees.

From here, we can put it into an equation:

2x + 3 + x + 1 + 3x - 10 = 180

Simplify

6x - 6 = 180

+ 6 + 6

6x = 186

Divide

x = 31

Hope this helps :)

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Find the number if 6% of it is 20% of 6

Anni [7]

Lets say 'x' is the number.

so you do 6/100 times x= 20/100 times 6
and that equals 6/100x=6/5
x=20
good luck!

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3 years ago

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A student is saving at least $5,000 for college. She begins with a savings account set up by her parents containing $2,000. Each

rosijanka [135]

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.

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3 years ago

Given f(x) = x2 + x − 2 and g(x) = 2x − 4, identify (f + g)(x).

Gnoma [55]

X^2 + x - 2 + 2x - 4....combine like terms
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4 years ago

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Which of the following represents a function

Oksana_A [137]

Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

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2 years ago

Find the sum of all multiples of 4 between 25 and 100

Mademuasel [1]

Answer:

Sum of all multiples of 4 between 25 and 100 is 1116.

Step-by-step explanation:

Multiples of 4 between 25 and 100 = 28,32,36,40..............,96

let's check the series whether it is an arithmetic progression

a1 = 28 , a2 = 32 , a3 = 36 , a4 = 40

Common difference (d)=a2-a1=32-28 = 4

=a3-a2=36-32 = 4

=a4-a3=40-36 = 4

Common difference exists then the series of numbers is an Arithmetic progression.

To find number of terms :

a(a1) = 28 , d = 4 , l( last term ) = 96

l = a + (n-1)d

96 = 28 + (n-1)4

96 - 28 = (n-1)4

68 = (n-1)4

68/4 = (n-1)

17 = n - 1

17 + 1 = n

18 = n

Sum of all terms:

a = 28 , d = 4 , n = 18 , l = 96

Sn = n/2 ( a + l )

S18 = 18 / 2 (28 + 96)

S18 = 9 (124)

S18 = 1116

Therefore,Sum of all multiples of 4 between 25 and 100 is 1116.

NOTE:

Here 100 is also a multiple of 4 but question is asked between 25 and 100 so 100 is not considered in multiples.

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3 years ago