Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
Step 2: Subtract 60 from both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, the answer is B. 60°.
Answer:
y=9 (x=-4.5)
Step-by-step explanation:
you have to split the equation up in order to solve
5y=45
divide by 5 on both sides
y=9
-10x=45
divide by -10
x=-4.5
Answer:
n = 8, w = 3 and perimeter = 122.83 units.
Step-by-step explanation:
Let the angle M is the angle between the equal sides of isosceles JAM.
So, JM = MA
⇒ 35 = 4n + 3
⇒ 4n = 32
⇒ n = 8 (Answer)
Now, if ∠ J = 14w - 1 and ∠ M = 98°, then
2(14w - 1) + 98 = 180
⇒ 2(14w - 1) = 82
⇒ 14w - 1 = 41
⇒ w = 3 (Answer)
Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.
So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}
Hence,
⇒ JP = 35 cos 41 = 26.415
So, JA = 2 × JP = 52.83
So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)
you divide 8/4 and get 2. 2 plus 7 is 9
Answer:
hey, there!
Step-by-step explanation:
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...