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Maru [420]
3 years ago
10

Anyone know how to do this?! Help!

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

m∠3 = 95°

By vertical angle theorem:

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.

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Functions & (f o g) (#)
sertanlavr [38]
Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)
7 0
3 years ago
I need help with 2 questions in distributive property
Snezhnost [94]

Answer:

i don't know

Step-by-step explanation:

4 0
3 years ago
Help me please ineed your help
____ [38]
I can’t see the problem
4 0
2 years ago
The price of a cup of coffee has risen to $2.40 today. Yesterday's price was $2.15. Find the percentage increase. Round your ans
grigory [225]

Answer:

11.6%

Step-by-step explanation:

(new - old)/(old) = 25/215 = .116 = 11.6%

7 0
3 years ago
if marcus used to get paid $45 a day and now got a raise to $63 a day what percent increase to his new salary
anygoal [31]
It is a 163% increase.
(45×140%=63)
8 0
3 years ago
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