Step-by-step explanation:
Soln,
Here,
45°+65°+y(let)=180°[ being a triangle]
or,110°+y=180°
or,y=180°-110°
so,y=70°
Now,
x=?
so,
x+y=180°[being straight angle]
or,x+70°=180°
or,x=180°-70°
x=110°
THEREFORE,x=110°
solved!
Answer:
43°
Step-by-step explanation:
For triangle ABC:
A = C so all we need to do is to calculate the value of B
The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well
Since DBE is an equilateral triangle angle is DBE = 60°
17 + 17 + 60 = 94 this is the measure of angle B
The sum of interior angles in a triangle is equal to 180
A + B + C = 180
A + C + 94 = 180
A + C = 86 since A = C we divide 86 by 2
C = 43°
Answer:
Step-by-step explanation:
we know that
If the three points are collinear
then
we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to
step 1
Find the slope AB
we have
substitute in the formula
step 2
Find the slope AC
we have
substitute in the formula
step 3
Equate the slopes
solve for x
simplify
Answer: The knights were responsible for protecting the people.
Answer:
-3/2
Step-by-step explanation:
Given two points, we can find the slope by
m = (y2-y1)/(x2-x1)
= (-7 - -1)/ (5-1)
= (-7+1)/(5-1)
= -6/4
= -3/2
