Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer:
u=54
Step-by-step explanation:
VX is middle line of triangle, so
VX=ZY/2.....(1)
We know that
Zy=u
Vx=u-27
Put that in (1) we have:
u-27=u/2
2u-54=u
2u-u=54
u=54
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
Answer:
72.2 m
Step-by-step explanation:
65 km/1 h = (65000 m / 3600s) = 18.05 m/s
Distance = speed * time = 18.05 m/s*4 s = 72.2 m
Answer:
For this distribution of test scores, the standard deviation is equal to the square root of 9
D) 9
Step-by-step explanation:
We need to know the standard deviation formula:
(1)
Where:
S: Standard deviation
sum: Summation
x: Sample values
Am: Arithmetic mean
n:
Number of terms, in this case 3
Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8
To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.
of each term:
Now, we can find the standard deviation:
The standard deviation is equal to the square root of 9
