Answer:
<em>4 and 1 / 3 cm</em>
Step-by-step explanation:
Consider the following;
Let us say that Height = x. If that is so, through algebra, let us solve for x;
<em>Solution ⇒ 4 and 1 / 3 cm</em>
1) ?=102 degrees
2) x=132 degrees
3) y=69 degrees and x=96 degrees
i hope the photo helps show you each step
Answer:
A) 24
Step-by-step explanation:
The given geometric series is {12, 6, 3, 3 /2 , 3 /4 , 3/ 8 ,...}
Each term can be represented as a product of its previous term and \[\frac{1}{2}\]
The generic term of the series can be represented as the product of the first term 12 and \[\frac{1}{2}^{n-1}\] where n is the index of the term in the series.
The sum to infinity of such a series is given by the following formula:
\[\frac{term1}{1-ratio}\]
Substituting and calculating:
\[\frac{12}{1-\frac{1}{2}}\]
=\[\frac{12}{\frac{1}{2}}\]
=12*2 = 24
Answer:
9. x = 5
10. AD = 7
Step-by-step explanation:
As shown in the diagram, BD is a perpendicular bisector. And D is a point on the perpendicular bisector, meaning it is equidistant from the endpoints on the segment(points A and C). Because of this, we can say AD = CD.
We can substitute to get:
2x - 3 = x + 2
And simplify and solve:
x - 3 = 2
x = 5
AD is just 2x - 3, so we can substitute in x to find AD:
AD = 2(5) -3
AD = 10 - 3
AD = 7
