Answer:
26
Step-by-step explanation:
first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.
4x + 2 ⇒ 4(6) + 2
simplify the expression, starting with 4 · 6.
4(6) + 2 ⇒ 24 + 2
then add 24 + 2.
24 + 2 ⇒ 26
aaaand your answer is 26! hope this helps. have a lovely day! <3
x=2.86
Step-by-step explanation:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
![{24}^{2} + {32}^{2} = 40](https://tex.z-dn.net/?f=%20%7B24%7D%5E%7B2%7D%20%20%2B%20%20%7B32%7D%5E%7B2%7D%20%20%3D%2040)
![c = 40](https://tex.z-dn.net/?f=c%20%3D%2040)
![6x + 6 + 9x - 9 = 40](https://tex.z-dn.net/?f=6x%20%2B%206%20%2B%209x%20-%209%20%3D%2040)
![(6x + 9x) + (6 - 9) = 40](https://tex.z-dn.net/?f=%286x%20%2B%209x%29%20%2B%20%286%20-%209%29%20%3D%2040)
![15x - 3 = 40](https://tex.z-dn.net/?f=15x%20-%203%20%3D%2040)
![15x = 43](https://tex.z-dn.net/?f=15x%20%3D%2043)
![x = 2.866](https://tex.z-dn.net/?f=x%20%3D%202.866)
![23.16 + 16.74 = 39.9](https://tex.z-dn.net/?f=23.16%20%2B%2016.74%20%3D%2039.9)
the
![6(2.86) + 6 = 23.16](https://tex.z-dn.net/?f=6%282.86%29%20%2B%206%20%3D%2023.16)
![9(2.86) - 9 = 16.74](https://tex.z-dn.net/?f=9%282.86%29%20-%209%20%3D%2016.74)
Part A
Fraction of peach 2/5
Total = 200
number of students that pick peach as their favorite fruits
![\begin{gathered} =\text{ }\frac{2}{5}\text{ x 200} \\ =\text{ }\frac{2\text{ x 200}}{5} \\ =\text{ }\frac{400}{5} \\ =\text{ 80 students} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Ctext%7B%20%7D%5Cfrac%7B2%7D%7B5%7D%5Ctext%7B%20%20x%20%20200%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B2%5Ctext%7B%20x%20200%7D%7D%7B5%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B400%7D%7B5%7D%20%5C%5C%20%3D%5Ctext%7B%2080%20%20students%7D%20%5Cend%7Bgathered%7D)
Part B
number of students that pick orange as their favorite fruits
![\begin{gathered} =\frac{3}{8}\times200^{} \\ =\text{ }\frac{3\text{ x 200}}{8} \\ =\text{ }\frac{600}{8} \\ =\text{ 75} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B3%7D%7B8%7D%5Ctimes200%5E%7B%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B3%5Ctext%7B%20x%20200%7D%7D%7B8%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B600%7D%7B8%7D%20%5C%5C%20%3D%5Ctext%7B%2075%7D%20%5Cend%7Bgathered%7D)
number of students that pick plum as their favorite fruits
![\begin{gathered} =\text{ }\frac{1}{10}\text{ x 200} \\ =\text{ }\frac{200}{10} \\ =\text{ 20} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Ctext%7B%20%7D%5Cfrac%7B1%7D%7B10%7D%5Ctext%7B%20x%20%20200%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B200%7D%7B10%7D%20%5C%5C%20%3D%5Ctext%7B%2020%7D%20%5Cend%7Bgathered%7D)
There are 55 more students that chose orange rather than plum.
Answer:
Yes, Triangles RST and VUT are congruent by ASA
Step-by-step explanation:
we know that
If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent by ASA Postulate
In this problem
m∠RST≅m∠VUT ----> (right angle)
m∠RTSCm∠VTU ---> by vertical angles
ST≅UT----> given problem
therefore
RST≅VUT
Triangles RST and VUT are congruent by ASA