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:
D
Step-by-step explanation:
SOH
sinФ = opposite/hypentenous
sin35 = x/20
0.574 = x/20
cross multiply
x = 20(0.574)
x = 11.48
Round to the nearest tenth.
x = 11.5
Your answer is 9 months.
1500+500*9=6000
2300+400*9=5900
Answer:

Step-by-step explanation:
The area of an equilateral triangle with side length
is equal to
. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is
units.
Substituting in this value, we get:

20^2 = 12^2 + x^2
400 = 144 + x^2
-144 on both sides
256 = x^2
Find square root of 256.
x = 16