Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
Answer:
192.78
Step-by-step explanation:
maybe just use a calculator?????
There is only one triangle possible having angle 50, 50, 80.
<h3>
What is isosceles triangle?</h3>
An Isosceles Triangle has the following properties:
- Two sides are congruent to each other.
- The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
- The two angles opposite to the equal sides are congruent to each other.
It is given that, 2 angles of a triangle as:
∠1 = 50°
∠2 = 80°
Now we know the Angle sum property of a triangle that sum all three interior angle in a triangle is 
.
i.e., ∠1+∠2+∠3= .
So, 50° +80°+ ∠3 =
∠3 = 50°
As two angles of the triangle are equal that means it is a isosceles triangle.
There is no possibility of getting a right angles triangle.
Hence, there is only one triangle possible with these measurements .
Learn more about triangles here:
brainly.com/question/4987857
#SPJ1
The <em><u>correct answer</u></em> is:
x=6/7.
Explanation:
First we find the general form by solving for x:
a-bx = cx+d
Subtract a from each side:
a-bx-a = cx+d-a
-bx = cx+d-a
Subtract cx from each side:
-bx-cx = cx+d-a
-bx-cx = d-a
We can divide both sides by -1:
(-bx-cx)/-1 = (d-a)/-1
bx+cx = -d+a
bx+cx = a-d
Factor out an x on the left:
x(b+c) = a-d
Divide both sides by (b+c):
(x(b+c))/(b+c) = (a-d)/(b+c)
x = (a-d)/(b+c)
In this equation, a = 5, b = 6, c = 8 and d = 17:
x = (5-17)/(6+8) = -12/14
This simplifies to -6/7.
