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horsena [70]
3 years ago
11

Find the value of x in each case:

Mathematics
2 answers:
diamong [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Sum of 3 angles of triangle= 180

147 + 4x + x = 180

147 +5x = 180

5x = 180 - 147

5x = 33

x = 33/5

x = 6•6 (Answer)

amid [387]3 years ago
6 0

Answer:

X = 11

Step-by-step explanation:

To solve this, we need to find all the angles within the triangle. We know one angle (f) is 33 degrees because 147 + f = 180 = f = 33. Next we need to set up two more formulas to solve for x:

4x + y = 180

x + y + 33 = 180 => x + y = 147

Next, we can isolate one of the variables in one of the formulas and plug it back into the other:

x + y = 147 => y = 147 - x

4x + y = 180 => 4x + 147 - x = 180 => 3x + 147 = 180 => 3x = 33 => x = 11

I hope this helps!

-TheBusinessMan

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Four members from a 45​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and
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Answer:

3575880

Step-by-step explanation:

We need to use Permutation method,

nPr= \frac{n!}{(n-r)!}

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n=45\\r=4\\45P4= \frac{45!}{(45-4)!}\\45P4 = 3575880

There is 3575880 possibilities to make leadership structures in that committee

6 0
3 years ago
On Monday, the office staff at your school paid$8.77 for 4 cups of coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cup
IgorC [24]
Set up 2 different equations for each day and then solve using substitution or elimination
4 0
3 years ago
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lana66690 [7]

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4 0
3 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
3 years ago
G(x) = 3x + 1; Find g(-8)
gregori [183]

Answer:

g(-8) = -23

Step-by-step explanation:

g(x) = 3x + 1    <em>Plug in g(-8)</em>

g(-8) = 3(-8) + 1  <em>Multiply 3 by -8</em>

g(-8) = -24 + 1   <em>Add 1 to -24</em>

g(-8) = -23

5 0
3 years ago
Read 2 more answers
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