We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:

Original Equation: (4y-10)°+3x°=180

New Equation: (9x+12)°+3x°=180

9x+12+3x=180

12x+12=180

12x=168

x=14

So x is 14

Because x=14, then y is:

4y-10+3(14)=180

4y-10+42=180

4y+32=180

4y=148

y=37

So y is 37

5 0

3 years ago

Jinny is selling bracelets for $4.00. So far, she has earned $296.00. She needs to earn more than $472.00 in order to meet her g

Darya [45]

She needs more then 472 and has 296 so she still needs 176 because 472-296=176
Each bracelets is 4 so then 176/4 is 44
1. She needs to sell 44 more bracelets,45 if she needs more than 472
2 the inequality would be x>=44 bracelets

7 0

3 years ago

A medium water hose can fill a pool in 30 minutes. A larger water hose can fill the same pool in 20 minutes. If both hoses are t

Reptile [31]

10 minutes I'm pretty sure. My calculations may be off but at least I tried

5 0

4 years ago

Given a mean of 8 and a standard deviation of 0.7, what is the z-score of the value 9 rounded to the nearest tenth?

tensa zangetsu [6.8K]

[tex]\mu[\tex]=8
[tex]\sigma[\tex]=0.7
x=9

Z=(x-[tex]\mu[\tex])/[tex]\sigma[\tex]
=(9-8)/0.7
=1.43
=1.4 [to the nearest tenth]

3 0

3 years ago

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