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3 years ago

PLEASE HELP FAST! my two problems are in the photo.

Mathematics

1 answer:

babunello [35]3 years ago

8 0

Answer:

8.) x=115 degrees

9.) y=102 degrees

Step-by-step explanation:

8.) A triangles total degrees is 180, so 180-50=130. now the missing angles are congruent, so 130/2=65. and now we're working on the bottom right angle. which is 65. what we need can be added to the angle we just found to add up to 180, so reverse it. 180-65=115. so x=115 degrees.

9.) because y is congruent to the angle across from it, we can just assume y and 78 is equal to 180. 180-78=102. so y=102 degrees. Hope this helps!

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Let x= cost per pair of jeans

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z= cost per shirt.

For you, total cost = x+4y+2z= 84

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For cousin, total cost = x+2y+z= 52

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$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

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$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$