Answer:
AE = 60 units
Step-by-step explanation:
GE is one third the length of AE so...
GE = 1/3(AE)
20 = 1/3x
3(20) = (1/3x)3/1
60 = x
x = 60
AE = 60 units
Answer:
1,718.28
Step-by-step explanation:
1,548, percentage increased by 11% (percent) of its value = 1,718.28
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
Answer:
12- 30
36- 90
Step-by-step explanation:
if she can answer 50 in 20 mins then that means she is answering 2.5 questions in 1 min and then you must multiply 2.5 by the number of mins she has making it
12 x 2.5= 30
36 x 2.5= 90
Answer:
3°C > - 2°C
Step-by-step explanation:
Ice cream 1 = - 2°C
Ice cream 2 = 3°C
Lower temperatures are colder (cooler) than higher temperature values.
Hence, ice cream at - 2°C is cooler than ice cream at 3°C.
Hence, a temperature of 3°C is higher (greater) than - 2°C. Hence - 2°C is cooler (colder) than 3°C
Hence,
3°C > - 2°C