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Readme [11.4K]
3 years ago
6

How do you prove this using a two-column proof format?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

I'm not sure if you need the answer or just the steps to start, so I will just give u the steps. First, just take a step back and take it one step at a time. Once you have an idea of how the two triangles are congruent, make 2 columns, one with statements and one with reasons. On the statements side, put given information and what you learn along the way, like if it is given x=y, and y=z, then what you can put down after that is x=z. On the reasons side, put the properties or formulas you used to reach your solution. For instance, if x=y and y=z, x=z by the Transitive property of equality. Proofs are time consuming, tedious and utterly frustrating. Just take it slowly and you will be fine.

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.Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.Assume all prices listed include tax.She buys
Vitek1552 [10]

Answer:

Writing the inequality, we have;

420.56+32.43x\leq680

the solution to the inequality is;

x\leq8

Explanation:

Given that Natalie has $680 to spend at a bicycle store for some new gear and biking outfits.

Total spending must not exceed $680

\text{total spending }\leq680

She buys a new bicycle for $383.33.

• She buys 2 bicycle reflectors for $7.61 each and a pair of bike gloves for $22.01.

She plans to spend some or all of the money she has left to buy new biking outfits

for $32.43 each.

let x represent the number of biking outfits she can buy.

Total spending is;

\begin{gathered} 383.33+2(7.61)+22.01+32.43(x) \\ 420.56+32.43x \end{gathered}

Writing the inequality, we have;

420.56+32.43x\leq680

we can now solve the inequality;

\begin{gathered} 420.56+32.43x\leq680 \\ \text{subtract 420.56 from both sides;} \\ 420.56-420.56+32.43x\leq680-420.56 \\ 32.43x\leq259.44 \\ \text{divide both sides by 32.43} \\ \frac{32.43x}{32.43}\leq\frac{259.44}{32.43} \\ x\leq8 \end{gathered}

Therefore, the solution to the inequality is;

x\leq8

6 0
2 years ago
Heeeeeeeeeelphhdhdbsbbshdhd
kirill [66]
5 is D. 6 is A .try to learn your textbook additonal math T5 chapter2 and mathematic T5 chapter 3

3 0
3 years ago
What is 69 devided by 69<br> Can yah help and add me
kotykmax [81]

Answer:

the answer is 1

Step-by-step explanation:

69 goes into 69, 1 time

3 0
3 years ago
Read 2 more answers
Let h(x)=(g o f)(x)=√x+3 <br> Which of the following could be a possible decomposition of h(x)?
hodyreva [135]
In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x 
B. f(x)=x; g(x)=x+3 
C. f(x)=√x; g(x)=x+3 
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) =  g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)
8 0
4 years ago
Read 2 more answers
48,919 ÷ ? = 489.19<br> 489,190 ÷ 1,000 =?<br> 4,891,900 ÷ ? = 489.19<br> ? ÷ 100,000 = 489.19
musickatia [10]

Answer:

  • 100
  • 489.190
  • 10,000
  • 48,919,000

Step-by-step explanation:

Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.

a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.

b) The divisor is 10^3, so the decimal point will move 3 places to the left.

  489.190

c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.

d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...

  48,919,000

_____

<em>Additional comment</em>

An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.

3 0
2 years ago
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