Answer:

Step-by-step explanation:
we know that
In the triangle abc
if 
then

Because, the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangle abc is a right triangle
see the attached figure to better understand the problem
The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse
so

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse
so

therefore

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
so


Graphs like these (lines) come in the form y = mx + b where m is the slope and b is the y intercept. Y intercept is where the graph intersects the y axis so the value would be 5
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Answer:
(b) Symmetric property of congruence
Step-by-step explanation:
a) The transitive property says if a=b and b=c then a=c
b) The symmetric property says if a=b then b=a
c) The substitution property says if a=b and a=c then b=c
d) The reflexive property says a=a
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The property of congruence of interest here is the <em>symmetric property</em>.
Answer:
Hope i helped :)
Step-by-step explanation:
8) T-V =24
24 -6 =18
2x-18 =18
2x=0
x= 0/2
x=0
9)
*LMK
*L-K=x+3
*L-M=6x-10
*M-K= 3x-3
L-M + M-K = 6x -10 + 3x -3 = 9x -13
10 and 11)
Both lines are horizontal
both lines consist of intervals due to having 2 points on one line making it a distance between 2 points.
they are also concurrent lines because more then 3 lines pass through one point
they are also intersecting lines because they cross over each other
Answer:
Riley did better than Darby because One-half < Three-fifths.
Step-by-step explanation:
The statement that explains which girl did better would be that
Riley did better than Darby because One-half < Three-fifths.
There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.
Riley:
* 60 = 30 minutes
Darby:
* 60 = 36 minutes
Therefore, we can see that it took Riley 6 minutes less than Darby to finish the race meaning that she had the better result.