Answer:
Step-by-step explanation:
1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.
2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.
So...
180=63+65+GH
subtract to get GH
180-63-65= 52
so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.
FGH =117 degrees.
3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40 and CD equals 90, put them together and you get 130.
CDE= 130 degrees
4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40
so...
180= 90+40+BC
so subtract
180-90-40= 50
BC =50
so add BC=50 and CD=90. SO, BCD is 140 degrees.
5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.
A semicircle is 180 degrees.
so...
180=105+30+LM
subtract
180-105-30=45
LM = 45
Add LM=45 and MN=30
LMN is 75 degrees.
6.The last angle is LNP
If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225
LNP=225
hope this helps
Answer:
c
Step-by-step explanation:
Answer:
1440π squared mm.
Step-by-step explanation:
Given is the radius of base of cylinder, r = 12mm.
The altitude is five times the base radius, h = 5 times 12mm = 60mm.
The lateral area of the cylinder is the curved surface area of the cylinder.
The formula for curved surface area of cylinder is as follows:-
Curved Surface Area = Circumference of base x altitude of cylinder.
SA = 2πrh = 2π•12•60 = 1440π sq. mm.
Hence, Lateral area of cylinder is 1440π squared mm.
compare the triangles ΔABC and ΔBCD
∡ABC = ∡BCD (given)
AB = CD (given)
BC = BC (common) } = > (SAS) ΔABC ≡ ΔBCD = > AC = BD
Answer:
-3
Step-by-step explanation:
The y-axis is the vertical line where x=0. That vertical line crosses the green curve at y = -3, so ...
y = f(0) = -3 . . . for x=0
_____
The point (0, f(0)) is called the y-intercept of the curve. It is where the curve crosses the y-axis.
_____
<em>Comment on this problem statement</em>
Of course, the axes are not labeled on this graph, so we don't actually know that this is correct. <em>Conventionally</em>, the x-axis is the horizontal axis, and the y-axis is the vertical axis. If you make the assumption that is the case here, then the above answer falls out. If you take the graph at face value, there is <em>insufficient information to answer the question</em>.
