Answer:
DGF=226
Step-by-step explanation:
Angle 113 is a inscribed angle since two it is on the exterior of the circle. We can find the central angle by multiply 2 by 113.
113×2=226
Since the central angle measure 226, that means the arc DGF measures 226 degrees.
DGF=113
Answer:
x = -2 y = -8
Step-by-step explanation:
13x - 6y = 22
x - y = 6
6(x-y) = 6*6
6x - 6y = 36
subtract both the equations
13x - 6x -6y + 6y = -14
7x = -14
x = -2
13*-2 -6y=22
-26 -6y=22
-6y = 48
y = -8
answer: x = -2 y = -8
Answer:
Option A.
Step-by-step explanation:
According to this survey results :
Students : 80 like viking and 20 like patriot.
Teachers : 5 like viking and 15 like patriot.
In Option B it is given that patriot is more popular in students while viking is more popular in teachers which is not correct.
In option c patriot is equally popular in students and teachers, which is also not correct. because patriot is popular in 20% of students but 80% in teachers, which is not correct.
In option d there is no difference between students and teachers, this statement is also not correct because there is lots of differences in their choices.
In Option A it is said that viking is more popular in students but patriot is more popular in teachers. this is correct.
Answer:
A
Step-by-step explanation:
To find the distance between V1 and AQ use the distance formula
First find the coordinates of both V1: (-6, 5) AQ: (5, 5)
Now plug it in and solve for d (11)
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
