Answer:
The value of r=
The value of x=
Step-by-step explanation:
Given that,
A) 
Now,
8(2r-2)=9(7r+10)
16r-16=63r+90
-16-90=63r-16r
-(16+90)=47r
-106=47r
r=
B) 
Now,
5(x+5)=9[3(x-2)-1]
5x+25=9[3x-6-1]
5x+25=9[3x-7]
5x+25=27x-63
25+63=27x+5x
83=32x
x=
Answer:
Which points are collinear?
G, A, and T
G, E, and T
A, T, and E
G, A, and E
Step-by-step explanation:
Answer: There are 1800 unique names from both the lists.
Explanation:
Since we have given that
there are two lists :
In First list, number of names = 1200
In Second list, number of names = 900
According to question , we have also given that
there are 150 names that appear on both lists,
So,
Number of unique names in the first list is given by
Number of unique names in the second list is given by
Therefore, total number of unique names is given by
Hence, there are 1800 unique names from both the lists.
Answer:
6. r = 21 cm
7. A = 155.5 m²
Step-by-step explanation:
7: Formula for arc length is;
S = (θ/360) × 2πr
We are given;
S = 51 cm
θ = 139°
Thus;
51 = (139/360) × 2π × r
Making r the subject;
r = (51 × 360)/(2π × 139)
r ≈ 21 cm
8) Area of sector is gotten from the formula;
A = (θ/360) × πr²
A = (220/360) × (π × 9²)
A = 155.5 m²
Construct two angle bisectors of the triangle
Answer:
Option (D) is correct
<u>Step-by-step explanation:</u>
We have to contruct two angle bisectors of the triangle.
various steps to inscribe the circle in a triangle are
- First draw a triangle
- Draw angle bisector of one angle
- Draw angle bisector of another angle
- Extent these angle bisectors, where they meet that point will be called the incenter
- From incenter draw prependicular to any side of the triangle
- The length from the point where the prependicular touches the side of triangle to the point of incenter will be radius.
- Use this radius and draw the incircle.
