The two large triangles can be proven congruent through SSS ASA and SAS, you have all the congruent angles and sides you could ever need to prove the two large triangles congruent in at least 3 ways
Answer:
X=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
27π=120°/360°*πr^2
81π=Area of circle
Given that the net of the square pyramid is as shown above, the surface are of the pyramid will be given by:
SA=(number of triangles)*(area of triangle)*(area of square base)
area of one triangle will be:
A=1/2*base*height
A=1/2*0.8*0.75
A=0.3 sq. inches
area of the square base will be:
A=0.75*0.75
A=0.5625
Therefore the surface area will be:
SA=4*0.3*0.5625
SA=0.675 sq. inches
Answer:
a. y = 3x - 11
b. y = -1/3 x - 1
Step-by-step explanation:
The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.
a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:
-2 = 3(3) + b
-2 = 9 + b
-11 = b
The y-intercept is -11. Now we can write our equation:
y = 3x - 11
b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:
-2 = -1/3(3) + b
-2 = -1 + b
-1 = b
The y-intercept is -1. Now we can write our equation:
y = -1/3x - 1
Hope this helps :)
