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3 years ago

Which value of x would make ? 1 6 8 10

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

$x=8\ in$

Step-by-step explanation:

we know that

If NO is parallel to KJ

then

Triangles LNO and LKJ are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{LO}{LJ}=\frac{LN}{LK}$

substitute the values

$\frac{x-4}{x-4+x}=\frac{x-3}{x-3+x+2}$

$\frac{x-4}{2x-4}=\frac{x-3}{2x-1}\\ \\(x-4)(2x-1)=(x-3)(2x-4)\\ \\2x^{2}-x-8x+4=2x^{2}-4x-6x+12\\ \\-9x+4=-10x+12\\ \\10x-9x=12-4\\ \\x=8\ in$

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The ratio of losses to wins for Kyle's team is 3 to 2. If the team had played the same number of games, but had won twice as man

Fiesta28 [93]

Answer: The new ratio will be 1/4

Explanation: The initial ratio of losses to wins is 3 to 2. If we sum the numer of losses and wins 3 + 2 = 5 games, that means they loss 3 out of 5 games , and they win 2 out of 5 games.

So if they had won twice as many of the games, that is 2*2=4. And since the number of games is the same ( 5 ), then they would have won 4 games and loss only 1.

So the new ratio of losses to wins will be 1 to 4, or expressed in a fraction: 1/4

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2 years ago

Read 2 more answers

Write the numbers in order from greatest to least. 7.982, 7.981, 8.782, 8.981

ziro4ka [17]

Answer:

Step-by-step explanation:

To order decimals is to subtract, line up, and comparing digits.

Comparing digits is a good way to order decimals for greatest to least.

(Most Understood.)

<h3>Comparing Decimals:</h3><h3 />

We could put numbers in any order to compare digits, but you should look closely:

Numbers can<u> Trick You.</u>
<u>Be wise, look closely.</u>
<u>If the digit is 0 for a number, the other number is greater if it's not 0.</u>

Lastly, <u>you (cannot) multiply, divide, add, or subtract.</u>

__________________________________________

First, we pick 2 numbers to compare, maybe 8.782 and 8.981.

We look at the digits for both numbers.

We see 8's, And 7 and 9, 9 is greater, so 8.<u>9</u>81 is the greatest and 8.<u>7</u>82 is the 2nd greatest.

<h3>8.981, 8.782, ?.???, ?.??? Is Our Order so far.</h3>

Our last 2 numbers are 7.981 and 7.982,

We look at the digits for both numbers.

We see 7's, we see 9's, and we see 8's, but 1 and 2. 2 is greater so 7.98<u>2</u> is the 3rd greatest and 7.98<u>1</u> is the least.

<h3>Our order is: 8.981, 8.782, 7.982, 7.981.</h3><h3>We checked it by comparing wisely. (√ Means Check)</h3>

Best of Luck to you.

If you have any questions, feel free to comment below.

-Also if anything is confusing!!

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3 years ago

Evaluate ƒ( x ) = x 2 + 1 for ƒ(10).

vlabodo [156]

F(x) = x^2 + 1 f(10)
f(10) = 10^2 + 1
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3 years ago

Which parent function is represented by the graph?

sattari [20]

Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

m= gradient of the straight line graph

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3 years ago

What is the value of x?

Ratling [72]

Answer:

4x+7 = 5x-20

(reason: vertical angles are congruent; property used: distributive)

7 = 1x-20

1x = 7+20

1x = 27

x = 27

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3 years ago