Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70
Step-by-step explanation:
XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)
So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)
RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°
WVS: We already solved this in the beginning
RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:
RSV = 180° - (55° + 55°)
RSV = 70°
Now that we know RSV = 70°, we can find RST
180 - (RSV + RST)
180 - (70° + RST)
RST = 110°
RSV: We already found this
Sorry, that was a lot. Hope it wasn't too confusing.
Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to
In this case, C is equal to 120 m.
The diameter is then:
Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.
The area can be calculated from the radius as:
The area is 361 m^2
Answer:
w = 0.215
Step-by-step explanation:
(8.25 + 1) / 4w = 10.75
9.25/4w = 10.75
9.25/4w(4w) = 10.75(4w)
9.25 = 43w
9.25/43 = w
w = 0.215
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
