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adell [148]
3 years ago
15

A wooden board 100 centimeters long is cut into two pieces.One piece is 16 centimeters longer than the other. What are the lengt

hs of the two pieces?
Mathematics
2 answers:
8090 [49]3 years ago
4 0
Legnth are x and y
x+y=100

one is 16 more than other
x is 16 more than y
x=16+y

x=16+y therefor we can put 16+y for x
(16+y)+y=100
16+y+y=100
16+2y=100
minus 16 both sides
2y=84
divide by 2
y=42

sub back
x=16+y
x=16+42
x=58


the legnsh are
42 cm and 58cm

umka2103 [35]3 years ago
3 0
One piece is 66 cm and the other piece is 34 cm
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Genrish500 [490]

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

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116


8 0
3 years ago
.<br><br> y = x2 + 3<br> y = x + 5
ddd [48]
I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
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Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
7 0
1 year ago
Which comparison is not correct?<br> -8&lt;1-41<br> 1-21 &lt;1-91<br> 1-7]&gt;-9<br> |81 &gt; 1-91
Savatey [412]

Answer:

I'm pretty sure it is C

Step-by-step explanation:

6 0
2 years ago
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m_a_m_a [10]

Step-by-step explanation:

y = mx + b

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8 0
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