Answer:
44.5 degrees.
Step-by-step explanation:
Since these triangles are congruent, their angles are the same.
Therefore, we can set an equation with the 2 labeled angles (which are angles C and F):
2.5x+8=3.5x-7
8=x-7
x=15
We can plug 15 back into one of the equations:
2.5(15)+8 = 45.5
This means angle F is 45.5.
To find out the measure of angle E, recall the fact that the angles in a triangle add up to 180. Since this is a right triangle, and F = 45.5, we can set up an equation and solve for x:
90 + 45.5 + x = 180
135.5 + x = 180
x = 44.5
Therefore, the angle E is 44.5 degrees.
Answer:
m= -5
Step-by-step explanation:
This is very simple.
Basically, the formula for a slope intersect form is this:
y= mx+b
Where y is the y value, x is the x value, b is the y intercept, and m is the slope.
Because m is -5 in this equation, that means the slope is -5.
Answer:
Pattern: by adding 3/5 continuously gave us a whole number at every 4th succession.
Step-by-step explanation:
Adding 3/5 to 1/5
Therefore, we have:
3/5+1/5 = 4/5
3/5+4/5 = 7/5 = 1²/5
3/5+7/5 = 10/5 = 2
3/5+2 = 13/5 = 2³/5
3/5+13/5 = 16/5 = 3¹/5
3/5+16/5 = 19/5 = 3⁴/5
3/5+19/5 = 22/5 = 4²/5
3/5+22/5 = 25/5 = 5
3/5+25/5 = 28/5 = 5³/5
3/5+28/5 = 31/5 = 6¹/5
3/5+31/5 = 34/5 = 6²/5
3/5+ 34/5 = 37/5 = 7²/5
3/5+37/5 = 40/5 = 8
3/5+40/5 = 43/5 = 8³/5
Answer:
12
Step-by-step explanation:
the lcm of 3 and 4 is 12