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ira [324]
2 years ago
13

What number solves the equation 5(x+12)=95?

Mathematics
1 answer:
sergeinik [125]2 years ago
3 0

Answer:

Step-by-step explanation:

5(x+12)=95 (multiply 5 in the brackets)

5x+60=95 (subtract 60 on both sides)

5x=35 (divide 5)

x=7

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Step-by-step explanation:

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Read 2 more answers
Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include comm
Pavlova-9 [17]

Answer:

Overall vertical is visually better, if done correctly

it forces you to "line up" all the common exponents.

The disadvantage is that it usually requires re-writing the problem, and it takes up space.

most problems are presented horizontally, that becomes the issue to locate the common exponents.

in both cases the biggest issue is people forget

that when subtracting "subtracting a negative is like adding a positive"

-5x - (-8x)  = 3x [that is a positive 3x]

or:

     -7x

-    - 10x

-------------

     3x

everyone misses those eventually so you have to watch out for that in both methods

Step-by-step explanation:

5 0
3 years ago
Solve the following triangle in which given sides are<br> a=7 b=7 c=9
blagie [28]
We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.

A=B
Method 1:

We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5

B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º  ⇒ C=2*40º=80º

Answer:
a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º

Method 2:
Law of cosines:
a²=b²+c²-2bcCosA  ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º

B=A=50º

A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º

Answer:

</span>a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º</span>

8 0
3 years ago
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