Answer:
A= 66.6667
B = 333.3333
Step-by-step explanation:
Initial value of A = $20
Initial value of B = $80
Initial total=$ 28000
A moves up 50%= 20+(0.5*20)
A moves up 50% = 20+10
A moves up 50% =$ 30
B double it values = $80*2
B double it values = $160
Now total value is = $54000
A20+B80= 28000... equation 1
A30+B160= 54000.... equation 2
Multiplying equation 1 * 2
Multiplying equation 2 * 1
A40 +B160 = 56000
A30+B160= 54000
A30 = 2000
A= 2000/30
A= 200/3
A= 66.6667
A20+B80= 28000
Substituting A
200/3 (20) +B80= 28000
B80= 28000-4000/3
B80= 80000/3
B= 80000/240
B = 333.3333
Supplementary angles add up to 180
so (2x + 3) + (3x + 2) = 180
.
<u>Solve x:</u>
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
.
<u>Find the angles:</u>
One angle = (2x + 3) = 2(35) + 3 = 73°
Other angle = (3x + 2) = 3(35) + 2 = 107°
.
Answer: The two angles are 73° and 107°
The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14
<h3> How to write equation?</h3>
x = Kendall's money
Mateo's money = $98
= 7 × x
The equation:
7 × x = 98
7x = 98
x = 98/7
x = $14
Therefore, the correct answer is option B
Learn more about equation:
brainly.com/question/2972832
#SPJ1
Answer:
vertex = (-2,-3)
axis of symm: x= -2
Step-by-step explanation:
Answer:
The angle of elevation is 71.94 degrees.
Step-by-step explanation:
We are given the following in the question:
The front of an A-frame cottage has the shape of an isosceles triangle.
Height,h = 23 feet
Base,b = 15 feet
We have to find the angle of elevation of its roof.
The attached image shows the structure.
We use the relation,
![\tan \theta = \dfrac{h}{\frac{b}{2}}\\\\\tan \theta = \dfrac{23}{7.5}\\\\\tan \theta = 3.067\\\theta = \tan^{-1}3.067 = 71.94^\circ](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%20%5Cdfrac%7Bh%7D%7B%5Cfrac%7Bb%7D%7B2%7D%7D%5C%5C%5C%5C%5Ctan%20%5Ctheta%20%3D%20%5Cdfrac%7B23%7D%7B7.5%7D%5C%5C%5C%5C%5Ctan%20%5Ctheta%20%3D%203.067%5C%5C%5Ctheta%20%3D%20%5Ctan%5E%7B-1%7D3.067%20%3D%2071.94%5E%5Ccirc)
Thus, the angle of elevation is 71.94 degrees.