The answer is Option A.
Scale Factors
If the Scale Factor IS 1, the polygon stays the SAME.
(If an equilateral triangle has a side length of 8 and the scale factor is 1, the sides will stay at 8)
If the Scale Factor is MORE THAN 1, the polygon's sides INCREASE depending on what the scale factor is.
(If a square has a side length of 3 and the scale factor is 4, the sides will increase to 12)
If the Scale Factor is LESS THAN 1, the polygon's sides DECREASE depending on what the scale factor is.
(If a square has a side length of 5 and the scale factor is 1/2, the side lengths will decrease down to 0.5)
Therefore each side length of the new triangle is 4 times shorter than the original (Option A)
Answer:
acute
Step-by-step explanation:
straight is just a straight line, 180 degrees perhaps
right is exactly 90 degrees
obtuse is over 90 degrees
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
Answer:
7x-1
Step-by-step explanation:
6+8x-7-x
Combine like terms
8x-x +6-7
7x-1
recall that a circle has a total of 360°.
so that missing central angle is then 360° - 110° - 65° - 90°. Well, the arc's angle measurement is the same as the central angle they're in, so the x° is the same as 360° - 110° - 65° - 90°.
