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Leni [432]
3 years ago
13

PLEASE HELP!!! Given a || b, m<3 5x + 10, and m<5 = 3x + 10, find the value of x

Mathematics
1 answer:
Dominik [7]3 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

angle m<3 + angle m<5 = 180° because these angles are supplementary

5x + 10 + 3x + 10 = 180° add like terms

8x + 20 = 180

8x = 160 divide both sides by 8

x = 20

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Assume that in October of a particular year about 215 billion text messages were sent or received in the US, and the prediction
Julli [10]

Answer:

There will be 243 billion messages sent or received in November.

Step-by-step explanation:

Given.

Number of text messages sent or received =215 billion.

Increment on the very next month =13\%=\frac{13}{100}=0.13

Lets find what is 13\%\ of\ 215

 ⇒13\%\ of\ 215

 ⇒0.13\times 215=27.95

So we will add this value to our previous months data.

Now

Number of text messages sent in the month of November =(27.5+215)=242.95 billion.

Rounding to the nearest tenth the answer will be 243 billion.

So 243 billion text messages were sent or received in November.

5 0
3 years ago
What is the roots of the quadratic equation? 6x^2+5x-4=0
Rama09 [41]

x = \frac{1}{2} or x = - \frac{4}{3}

consider the factors of the product 6 × - 4 = - 24 which sum to the coefficient of the x- term ( + 5)

the factors are + 8 and - 3 ( split the middle term using these factors

6x² - 3x + 8x - 4 = 0 ( factor by grouping )

3x(2x - 1) + 4(2x - 1 ) ( take out common factor of (2x - 1) )

= (2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ⇒ x = \frac{1}{2}

3x + 4 = 0 ⇒ x = - \frac{4}{3}


4 0
4 years ago
Read 2 more answers
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F[G(x)] - F(x). 4x + 4 4x + 2 4x
Allushta [10]

Answer:

4x + 4

Step-by-step explanation:

F(x) = 2x - 1

G(x) = 3x + 2

H(x) = x²

We have to calculate the expression F(G(x)) - F(x)

F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,

F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3

Thus,

F(G(x)) - F(x) = 6x + 3 - (2x - 1)

= 6x + 3 -2x + 1

= 4x + 4

Therefore, the expression F(G(x)) - F(x) equals 4x + 4

4 0
3 years ago
B
klio [65]
Sqrt of 125
10^2 +b^2= 15^2
100 +b^2=225
B^2=125
No perfect square for 125 so leave it in radical form
3 0
3 years ago
Answer choices are <br> y-x=-4<br> y-x=-2<br> y-4=x<br> y+4x=1
ycow [4]

Answer:

Y+4x=1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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