Answer:
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Step-by-step explanation:
a=10
b=pi/12
d=10cos(pi/12t)
t=6
d=5
See the attached picture.
<span>you are given that ABCE is an isosceles trapezoid. </span>
<span>you are given that AB is parallel to EC. </span>
<span>this means that AE is congruent to BC. </span>
<span>you are given that AE and AD are congruent. </span>
<span>triangle EAD is an isosceles triangle because AE and AD are congruent. </span>
<span>this means that angle 1 is equal to angle 3. </span>
<span>since angle 1 is equal to angle 2 and angle 3 is equal to angle 1, then angle 3 is also equal to angle 2. </span>
<span>this means that AD and BC are parellel because their corresponding angles (angles 3 and 2) are equal. </span>
<span>since AB is parallel to EC and DC is part of the same line, than AB is parallel to DC. </span>
<span>you have AB parallel to DC and AD parallel to BC. </span>
<span>if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. </span>
<span>that might be able to do it,depending on whether all these statements are acceptable without proof. </span>
<span>they are either postulates or theorems that have been previously proven. </span>
<span>if not, then you need to go a little deeper and prove some of the statements that you used.. </span>
here's my diagram.
<span>this is not a formal proof, but should give you some ideas about how to proceed. </span>
<span>you can also prove that angle 4 is equal to angle 2 because they are alternate interior angles of parallel lines. </span>
<span>you can also prove that angle 6 is equal to angle 5 because they are alternate interior angles of parallel lines. </span>
Minus 3y both sides
2y-6=-20
add 6 to both sids
2y=-14
divide 2
y=-7
The value of F(3) = 27.
Step-by-step explanation:
Step 1:
F(x) is dependent on the value of x.
So x is independent while F(x) is dependent on x i.e. the value of F(x) depends on the value of x.
Step 2:
F(x) = 
, if we have the x's value we can calculate the F(x)'s value.
Here the value of x is given as 3 so F(x) when x equals 3 can be calculated.
So F(3) = 27.
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
