Answer:
First option.
Step-by-step explanation:
Use the formula y = mx + b.
Where m is the slope, and b is the y-intercept.
y = -2x + 3
The slope is -2. The y-intercept is (0, 3).
There are 30 days in June and only three of those days are multiples of 8 so you have the probability of 3 out of 30.
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
<h2>0.60</h2>
Step-by-step explanation:
Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;
Probability = Expected outcome of event/total outcome of event
If a bag contains 20 total marbles, then the total outcome of event is 20.
If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.
Probability of drawing a blue marble P(draw a blue marble)= 12/20
= 0.60 (to 2dp)
Answer:
2 - √3
Step-by-step explanation:
tan45 = 1
tan60 = √3
2 tan 45 - tan 60
2(1) - √3
=> 2 - √3
