angles BAC and BCA are equal = 69
69 +69 = 138
angles in a triangle =180
180-138 = 42
5x + 2 = 42
5x = 40
x = 8
Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.
<h3>What is a system of equations?</h3>
- A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the <em>variables </em>are:
- Variable x: Cost of a small box.
- Variable y: Cost of a large box.
Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:
![7x + 14y = 266](https://tex.z-dn.net/?f=7x%20%2B%2014y%20%3D%20266)
Simplifying by 7:
![x + 2y = 38](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%2038)
![x = 38 - 2y](https://tex.z-dn.net/?f=x%20%3D%2038%20-%202y)
Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:
![14x + 3y = 182](https://tex.z-dn.net/?f=14x%20%2B%203y%20%3D%20182)
Since
:
![14(38 - 2y) + 3y = 182](https://tex.z-dn.net/?f=14%2838%20-%202y%29%20%2B%203y%20%3D%20182)
![25y = 350](https://tex.z-dn.net/?f=25y%20%3D%20350)
![y = \frac{350}{25}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B350%7D%7B25%7D)
![y = 14](https://tex.z-dn.net/?f=y%20%3D%2014)
Then
![x = 38 - 2y = 38 - 2(14) = 10](https://tex.z-dn.net/?f=x%20%3D%2038%20-%202y%20%3D%2038%20-%202%2814%29%20%3D%2010)
A small box of tangerines costs $10 and a large box costs $14.
To learn more about system of equations, you can take a look at brainly.com/question/24342899
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
D would be the correct answer. Since angle W and angle Z form a straight line, they are supplementary angles. Supplementary angle add up to make 180°, which is what D states.
A doesn't make sense.
If B was true, then the angles would be complementary (adding up to 90°). They form a straight line, though, so it's incorrect.
C is wrong for reasons aforementioned.
Answer:
to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees