Answer:
Step-by-step explanation:
Consider triangle ABC with the base AC=36. Let the line DE be parallel to the line AC. If DE||AC, then triangles ABC and DBE are similar. If k is the scale factor of these triangles, then
Thus,
The area of the triangle ABC is
The area of the triangle DBE is
Since line DE divides triangle ABC in two equal area parts, we have that
and
<u><em>**I want to mention that please use asterisk (*) symbol for multiplication as multiplication symbol x and variable x look the exact same</em></u>
Your question is
3*4+2*3-5*2+4*2+6x-2x-3*4+7x-3*3
First calculate each term getting
=12+6-10+8+6x-2x-12+7x-9
Now combine like term which means adding all of the constant together and all of the term containing variable x together
=11x-5
Therefore 11x-5 is the answer to the expression.
Answer:
-32?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Triangle RST is a right angle triangle.
From the given right angle triangle
RT represents the hypotenuse of the right angle triangle.
With 26 degrees as the reference angle,
ST represents the adjacent side of the right angle triangle.
RS represents the opposite side of the right angle triangle.
1) To determine RS, we would apply trigonometric ratio
Sin θ = opposite side/hypotenuse Therefore,
Sin 26 = RS/9.1
RS = 9.1Sin26 = 9.1 × 0.4384
RS = 4.0
2) To determine ST, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse Therefore,
Cos 26 = ST/9.1
ST = 9.1Cos26 = 9.1 × 0.8988
ST = 8.1
3) The sum of the angles in a triangle is 180 degrees. Therefore,
∠R + 26 + 90 = 180
∠R = 180 - (26 + 90)
∠R = 64 degrees
