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miv72 [106K]
3 years ago
6

Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

it would still be 29 bc it fliped around but it has to eqaul to the right angle

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If and , find .<br><br> A. <br> B. <br> C. <br> D.
trapecia [35]
Answer: option D. 2x^2 + (3/2)x  - 5

Explanation:

1) polynomials given:

 f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3

2) question: find (f + g) (x)

That means that f(x) + g(x), so you have to add up the two polynomials given.

3) x/2  - 2 + 2x^2 + x - 3

4) Combine like terms:

a) terms with x^2: you only have 2x^2, so it is not combined with other term.

b) terms with x: x/2 + x

that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x

c) constant terms: - 2 + (-3) = - 2 - 3 = - 5

5) Result: 2x^2 + (3/2)x - 5

That is the option d.


4 0
3 years ago
Eight inches of snow fell in five hours. Write the number of inches per hour.
DedPeter [7]

The answer is 1.6

How I figured it out:

I divided 8 by 5, which gave me 1.6

To make sure this was right, I multiplied 1.6 by 5, which gave me an answer of 8 or other known as 8 inches.

In conclusion, the number of inces per hour is 1.6

6 0
3 years ago
Nine times a number decreased by 16
Setler79 [48]

Answer:

9 · x - 16

Explanation:

Nine times a number: 9 · x

Decreased by 16: - 16

Put them together: 9 · x - 16

7 0
3 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
Please help
koban [17]

Step-by-step explanation:

240.70×4=962.8 (for return)

569×4=2240 (hotel cost)

28×4=112 (return airport)

962.8+2240+112=3,314.8

it will cost $3,314.8 for a family of 4.

5 0
2 years ago
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