6.the polygon similarity postulate states that two polygons are similar if and only if there is a correspondence between their angles and their sides so that all corresponding angles are  and all sides are proportional. 7.similar figures have the same shape but are not necessarily the same size. true false8.a directed line segment partitioned with a ratio of 4: 3 would be divided into how many equal parts.437129.the ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor. true false10.all properties of proportions are valid, given that there is no in the denominator of the fraction representing the ratios.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.