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Mashcka [7]
3 years ago
12

1. What is the value of x?

Mathematics
1 answer:
Gwar [14]3 years ago
8 0
Part 1)
<span>sin(x+22)°=cos(2x−7)°

we know that
</span>

 the  sine and cosine  are co-functions

So

sin (theta) = cos (90 - theta)------> This implies that  the angles sum to 90°

therefore

( x + 22)  + (2x - 7)  =  90    simplify

3x + 15  = 90     subtract  15 from both sides

3x  =  75      divide both sides by 3

x  = 25

 The answer Part 1) is x=25°

 Part 2) Given cos x=12/13 and sin x =5/13

What is ratio for ​ tanx ​ ?

 we know that

tan x = sinx / cos x

tan x  =   (5/13) / (12/13)   =  (5/13) * (13/12)  =  <span>5/12</span>

the answer Part 2) is 5/12

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y = 2x - 3

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when x = 3:   y = 2(3) - 3   = 3


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3 years ago
Using addition rules, show how to add the two real numbers. 7 + (-14)
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Hello there! Using the rules of addition, we can identify that when adding a positive to a negative number, the result shifts toward the positive side but takes the sign of the greater number. It will be demonstrated in this problem to simplify how problems like this are solved:

Step 1: Rewrite the problem

-14 + 7 = ?

Step 2: Since we’re adding 7 to a negative number, that means the negative number decreases by the quantity it’s being added by.

This means we would have to really subtract 7 from 14 to get 7.

Step 3: Keep the sign of the greater number

Since 14 is greater than 7, we will keep the negative sign in accordance.

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Using the rules of addition, we will find that -14 + 7 = -7. If you need additional help, let me know and I will gladly assist you.
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Please help with this, thanks
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Answer:

BDC is half of mBC = 11°

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