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3 years ago

Please help! (Geometry)

Mathematics

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

x=5

From the dashed lines on the two sides of this triangle, we can see that these two sides are congruent, or equal, to each other.

In geometry, if a triangle has two congruent sides, then we can call it a <em>isosceles triangle</em>.

In an isosceles triangle, the corners opposite the congruent sides are also congruent, meaning, that the angle measures of this triangle are: 88, 9x+1, and 9x+1.

We also know that angles in a triangle add up to 180 degrees.

So, we have: 88+(9x+1)+(9x+1) = 180

Simplifying: 18x + 2 = 92

Solving: 18x = 90, so x=5

Hope this helps!

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Simplify 3(12 - 8) + 5

lukranit [14]

Answer:

3(4) + 5

Step-by-step explanation:

Use BIDMAS (Brackets, indicies, division, multiplication, addition, subtraction.)

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2 years ago

Read 2 more answers

If x and y are integers greater than 1, is x a multiple of y ? (1) \small 3y^{2}+7y=x (2) \small x^{2}-x is a multiple of y. Sta

Nata [24]

Answer:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Step-by-step explanation:

A multiple of a number is obtained after multiplying the number by an integer.

Here,

x, y are any two integers greater than 1,

(1) We have,

$\small 3y^{2}+7y=x$

$\implies y(3y+7) = x$

∵ y is an integer ⇒ 3y + 7 is also an integer,

⇒ y × an integer = x

That is, when we multiply y by a number we obtain x,

∴ x is a multiple of y.

Thus, statement (1) ALONE is sufficient.

(2),

$\small x^{2}-x\text{ is a multiple of y}$

I.e.

$y\times a = x^2-x$ , where a is an integer,

$\implies y\times a = x(x-1)$

∵ x and x - 1 are disjoint numbers,

There are three possible cases,

Case 1 : x is multiple of y

Case 2 : (x-1) is a multiple of y,

Case 3 : neither x nor x - 1 are multiple of y but their product is multiple of y,

Thus, statement (2) is not sufficient.

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3 years ago

1. In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1007 adults to learn about their m

avanturin [10]

Answer:

The correct answer is "1668". A further solution is provided below.

Step-by-step explanation:

According to the question,

Estimated proportion,

$\hat{p} = \frac{574}{1007}$

$=0.57$

Margin of error,

E = 0.02

Level of confidence,

= 90%

= 0.90

Critical value,

$Z_{0.10}=1.65$

Now,

⇒ $0.02=1.65\times \sqrt{\frac{0.57\times 0.43}{n} }$

$0.0004=2.7225\times \frac{0.2451}{n}$

$n=\frac{2.7225\times 0.2451}{0.0004}$

$=1668.21$

or,

$n \simeq 1668$

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3 years ago

Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Andreas93 [3]

Answer: k = {8, -8}

<u>Step-by-step explanation:</u>

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero. → b² - 4ac = 0

4x² + kx + 4 = 0

↓ ↓ ↓

a=4 b=k c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k² = 64

k = √64

k = ± 8

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3 years ago

What is the probability of randomly drawing an odd number between 24 and 33?

Studentka2010 [4]

Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}

How many numbers have we here? 10.

How many of these numbers are odd? {25, 27, 29, 31, 33}

Strictly speaking, "between 24 and 33" does not include {24, 33}.

Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}

The chances of drawing an odd number between 24 and 33 are then 4 / 10.

If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}

and the odds of choosing an odd number from these eight numbers is 4/8, or 1/2, or 0.50.

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3 years ago