Answer: 12
Step-by-step explanation:
6c + 11= 2c + 59
Collect like terms
6c - 2c = 59 - 11
4c = 48
c = 48/4
c = 12
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as
h1/s1 = h2/s2
where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree
Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .
3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
(2x+1) + (2x+3) + (2x+5) + (2x+7) + (2x+9) = 145
10x + 25 = 145
10x = 120
x = 12
2x + 1 = 25
Sequence = 25 +27 +29 +31 +33
Third number = 29
