Answer:
2.5
Step-by-step explanation:
From the diagram, figure B was enlarged to obtain figure A.
The two figures are therefore similar.
The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.
It is given by:
Figure B is the image of A
Therefore the scale factor is 2.5
Answer:
44
Step-by-step explanation:
x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 294
Combine all like terms for x and integers
6x + 30 = 294
Minus 30 on both sides
6x = 264
Divide by 6
x = 44
Answer: (x+5)^2+(y-2)^2=81
Step-by-step explanation:
Volume of the prism is the area of the triangle x the height.
To find the height find the area of the triAngle first, then divide the volume by the area.
Area = 1/2x 7x18 = 63 square mm
X = 1638/63
X = 26 mm
Answer:
a) ∠XWY = 53°
b) ∠XZY = 106°
Step-by-step explanation:
The relationship between the central angle and the arc length is that they're equal. So, if arc XY = 106° this means that ∠XZY = 106°.
The relationship between the central angle ∠XZY and the inscribed angle ∠XWY is that the inscribed angle is half the value of the central one.
So, ∠XWY= ∠XZY/2 = 106/2 = 53
<u>Results:</u>
∠XWY = 53°
∠XZY = 106°
