There are several conditions where triangles can be proved similar:
AA - where two of the angles are same.
SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.
SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.
In the case above, we can only use the method of SAS, as only two sides of the triangles are given.
<HMG = <JMK (vertically opposite angles)
HM/MK = 8/12 = 2/3
GM/MJ = 6/9 = 2/3
As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.
Therefore, the answer is C.yes by SAS.
Hope it helps!
<span>Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude).
Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north)
The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles.
d = 8 / 360 x 2 x pi x 3960 = 552.9 miles</span>
The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value
Answer:
Option (A).
Step-by-step explanation:
is a mixed fraction and can be written as,
[Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[Distributive property → a(b + c) = a×b + a×c]
Therefore, 
will be the answer.
Option (A) will be the correct option.
8 - 2x = -8x + 14 <em>subtract 8 from both sides</em>
-2x = -8x + 6 <em>add 8x to both sides</em>
6x = 6 <em>divide both sides by 6</em>
<h3>x = 1</h3>
