Answer:
HI, IG, GH
Step-by-step explanation:
First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.
When Javier writes 40 on both accounts they cost him the same amount of money so it should be 41.
Javier needs to write 41 checks for the second bank to beat better
Answer:
Step-by-step explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;
Multiply equation 1 by 2;

Subtract equation 2 from equation 3;


divide both sides by 8

Since we have the value of x, let substitute into equation 1 to get y;

therefore , the cost of cupcakes and cookies are;

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Answer: 0.1841
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z-score is given by :_

For x= 9, we have

For x= 10, we have

The P-value = 

Hence, the probability that at your next exam, you will have a stress level between 9 and 10 = 0.1841
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is




The nth term of an AP is

Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get



Putting n=52, we get



Therefore, the equation for the nth term of the given sequence is
and the 52nd term of the sequence is -212.