Answer:
7.)
Therefore FT is 33 unit.
8.)
Therefore SU is 98 unit.
Step-by-step explanation:
7.)
Given:
ΔFUT ~ ΔFHG
FU = 39
FH = 130
FG = 110
To Find:
FT = ?
Solution:
ΔFUT ~ ΔFHG ............Given
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore FT is 33 unit.
8.)
Given:
ΔSTU ~ ΔFED
ST= 63
FE = 9
FD = 14
To Find:
SU = ?
Solution:
ΔSTU ~ ΔFED ............Given
If two triangles are similar then their sides are in proportion.
Substituting the values we get
Therefore SU is 98 unit.
Answer:
The equation y=−3x+5 is in slope intercept form, and represents a straight line in which -3 is the slope, and 5 is the y -intercept.
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
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