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liraira [26]
3 years ago
9

Show your work to find X

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

(2 + 3x) and 62° are vertically opposite angles and are congruent, so

3x + 2 = 62  ( subtract 2 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

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Sebastian bought a 30-pack of mechanical pencils and plans to give the same number of pencils each to 6 friends.
Korolek [52]

Answer: 5 pack

Step-by-step explanation:

From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.

Therefore, each friend will get:

= 30 / 6

= 5 packs

4 0
3 years ago
Read 2 more answers
Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
3 years ago
Read 2 more answers
Which graph represents the sequence: 80, -40, 20
ANEK [815]
<span> 80/-40=-40/20=-2, 
the sequence: 80, -40, 20 is a geometric sequence
its general formula is Vn+1 = q Vn, where q= -2,
if we put </span>Vn+1 = f(x)
<span>               Vn = x 

so we have f(x)= -2x so the graph that represents the sequence is graph of linear equation

</span>
8 0
3 years ago
Solve for x.<br> 2x + 4<br> 4x - 88<br> x = [?]
baherus [9]
Solve for x.
2x + 4= 8
4x - 88 = -352
x = [?]
7 0
3 years ago
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