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Softa [21]
2 years ago
10

Find the value of x. Then find the angle measures of the triangle.

Mathematics
2 answers:
vfiekz [6]2 years ago
6 0

Answer:

x=35°

3x= 105°

Step-by-step explanation:

40 + 3x + x = 180

40 + 4x = 180

4x = 180 - 40

4x = 140

x =  \frac{140}{4}

x = 35

3x = 3(35) \\ 105

Vesnalui [34]2 years ago
4 0
3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4

x = 35
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Which quadratic rule represents the data in the table?
Vaselesa [24]

Answer:

x^2 - 5

Step-by-step explanation:

x = -1, y = 1 - 5 = -4.

x = 0, y = 0-5 = -5.

x = 1, y = 1 - 5 = -4.

7 0
3 years ago
Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the fun
nataly862011 [7]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

When x is squared, it's going to be bigger by the conclusion because the larger the faster. x^2 + 4consistently exceeds 4 x^2, regardless of the price of X.

5x+3 is always 3 more so than 5x.

In particular, this can be classified according to its pathways (5x

 5x\\\\5x + 3\\\\7x\\\\8x + 3\\\\x^2\\\\x^2 + 4

So can alternatively just say "eventually," which means because when x really is big, you need to find one another's values. Then just select x=100, then plug it into every single other. To confirm this order:

5(100) = 500\\\\5(100) + 3 = 503\\\\7(100) = 700\\\\8(100) + 3 = 803\\\\(100)^2 = 10,000\\\\(100)^2 + 4 = 10,004\\\\

So, the ascending order must be the right order!

4 0
2 years ago
Yoghurts are packed in trays. Each tray holds 12 yoghurts.
iogann1982 [59]
460/12 = 33.3 so about 32 trays if the smallest and 33 as the answer but best would be 33
6 0
1 year ago
1. f(6) if f(x) = 4x I know the answer I just need the explanation please thank you!
suter [353]
So when you have one of these, it’s just asking you so solve it as if x were 6 (as you see where the x in f(x) is replaced with a 6.

so you’d sub x for 6

giving you:

4 x (6)

which = 24

hope that makes sense :)
6 0
2 years ago
Read 2 more answers
which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!​
coldgirl [10]

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  \dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}

Likewise, the expression of (b) with the minus sign factored out is ...

  \dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}

On the other hand, simplifying expression (c) gives something different.

  \dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

<u>Summary</u>: The given expression matches (a) and (b).

_____

<em>Additional comments</em>

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  \left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given

3 0
2 years ago
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