9/10-2/5= first you must get a common denominator
you don't have to change the first fraction but the second one 2/5 multiply the top and bottom number by 2
9/10- 4/10=5/10 is the answer but you can simplify because 5 divides into 10 so 5 goes into 5 1 time and 5 goes into 10 2 times
final answer is 1/2
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = and c = 1 , thus
y = x + 1 ← equation of line
Answer:
Step-by-step explanation:
Triangle ABC is an equilateral triangle, then:
=> angle ABC = angle BAC = angle ACB = 60 deg
AB // CE, according to alternative interior pair of angles theorem:
=> angle ACE = angle BAC = angle ABC = 60 deg (1)
B, C, and D are colinear, then:
angle ECD + angle ACE + angle ACB = 180 deg
=> angle ECD = 180 - angle ACE - angle ACB = 180 - 60 - 60 = 60 deg (2)
From (1) and (2):
=>angle ACE = angle ECD = 60 deg
We can use the law of sines, which relates the angles and sides of a triangle.
The formula is:
,
where A, B, and C are angles and a, b, c are side lengths.
Let's find the missing angle. The interior angles of a triangle add up to 180 degrees, so the missing angle is 180-70-40 = 70 degrees.
Let's make a proportion and use the two 70 degrees angles and their opposite lengths. Since both sides have the same numerator of 70 degrees, we can equate the denominators together.