F(4) is equivalent to 28 because when you plug in 4 for the x, you get 28.
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
Answer:
x^2+y^2=16
Step-by-step explanation:
x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r
since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be
x^2+y^2=16
Answer:
From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.
Therefore,
<u>Multiplication Rule for Independent Events</u>
For independent events A and B:
Therefore,
<h3><u>Conclusion</u></h3>
Ari is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Triangles are congruent when they have exactly the same three sides and exactly the same three angles.
The diagram shows two pairs of congruent triangle:
- triangle C is congruent to triangle E (have exactly the same three sides and exactly the same three angles);
- triangle D is congruent tot triangle F (have exactly the same three sides and exactly the same three angles).
Triangles A and B apears not to be congruent to any others triangles.
