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Snowcat [4.5K]
3 years ago
8

Find the value of x when m<2 = x + 64​

Mathematics
2 answers:
laila [671]3 years ago
8 0

Answer:

-9 = x

Step-by-step explanation:

Since this is an isosceles triangle, the <em>two</em> base angles are congruent, therefore you have this:

180° = 70° + 2[x + 64] \\ 180° = 70° + 2x + 128 \\  \\ 180 = 198 + 2x

- 198 - 198

___________________

-18 = 2x

___ __

2 2

-9 = x

I am joyous to assist you anytime.

polet [3.4K]3 years ago
5 0

Answer:

-9

Step-by-step explanation:

The triangle has two sides that are the same, so it is an isosceles triangle.  Therefore, the base angles are the same.

Angles of a triangle add up to 180°, so:

70 + (x + 64) + (x + 64) = 180

70 + 2x + 128 = 180

2x = -18

x = -9

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The table below represents a linear function f(x) and the equation represents a function g(x):
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Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

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3 years ago
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masha68 [24]

Answer:

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Step-by-step explanation:

7 0
3 years ago
What is the value of the expression -5(3+4)?
BARSIC [14]
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4 0
3 years ago
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What is 77/200 as a decimal
garri49 [273]
<span>The correct answer is 0.385.

Explanation<span>:
Decimals deal with powers of 10, such as 10, 100, 1000, etc. We can change this to a power of 10 by dividing both top and bottom by 2; this will give us 100 in the denominator.

77/2=38.5, so we have 38.5/100.

Dividing by 100 is the same as moving the decimal two places to the left, so we have 0.385.</span></span>
8 0
3 years ago
Which of the following is the correct expanded form for the series below?
Daniel [21]

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Explanation:

we will substitute the values of n in given expression

\sum_{n=1}^{4}\frac{n}{n!}

when substituting n=1 we get  in \sum_{n=1}^{4}\frac{n}{n!}=\frac{1}{1!}

when n=2  we get \frac{2}{2!}

when n =3 we get \frac{3}{3!}=\frac{3}{6}=\frac{1}{2} ;3 factorial that is 3! = 3 *2*1 = 6

when n=4 we get  \frac{4}{4!}=\frac{4}{24}=\frac{1}{6};4! = 4*3*2*1 = 24

Note: factorial means the product of the terms getting multiplied  till 1

suppose n! will be equal to n(n-1)(n-2)(n-3).......1




3 0
3 years ago
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