Answer:
The answer would be 150 degrees.
Step-by-step explanation:
When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.
Since angle A and B are alternate interior angles, you can now set the two equal to each other.
So, in order to find out what x equals, you have to set the two equations equal to each other.
8x-10=3x+90
Next, solve the new equation.
8x-10=3x+90
Add 10 to both sides.
8x=3x+100
Subtract 3x from both sides.
5x=100
Divide both sides by 5 and you'll get your answer.
x=20
Now that you know what x equals, you can substitute it into the equation for B.
<B= 3(20)+90
60+90= 150
<B=150 degrees
That gives you your answer of <B = 150 degrees.
To check your work you can also substitute x into the equation for <A.
<A= 8(20)-10
160-10= 150
<A=150 degrees.
Therefore, you have just proved that the answer is 150 degrees.
Answer:
-12
Step-by-step explanation:
The given expression is

We have to rewrite the given function in the form of
....(i)
then we have to find the product of a,b and c.
The given expression can be rewritten as

Using properties of exponents we get
![[\because \sqrt[n]{a}=a^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
...(ii)
On comparing (i) and (ii), we get

Product of a,b and c is

Therefore, the product of a,b, and c is -12.
Answer:
<em>The answer is 24</em>
Step-by-step explanation:
The given triomino follows as sequence that,
<em>The upper no. × The right no. -The left no. = The middle no </em>
As we can see this by analyzing the three triominoes
first triominoes
4 × 2 - 4 =4
second triominoes
6×1 - 5 = 1
third triominoes
3×4 -0 = 12
∵ Finding fourth triominoes
9×3 - 3 = 24
<em> </em><em> ∴ The answer is 24</em>
<em />
Answer:
050
115
223
Step-by-step explanation:
bearings are a measurement in degrees from North
so from point A draw a North line , then draw a line to B ( the position) the angle is the bearing.
as a full turn would be a circle 360⁰ , bearings are written as 3 digits
Answer:
4/14 is equivalent to 2/7
Step-by-step explanation:
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