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
This problem is half understanding the question and half just plugging in numbers.
Understanding the Question:So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.
Now try plugging any number n into the

equation. Let's use 2 to make it simple. If you plug in 2, you get:

Remember that the subscripts (the small numbers in the corner) are simply the term number.

is term 1,

is term 2, etc. The equation is saying that "term 2 = 4 times term 1."
If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.
Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1,

= 6. That makes the next four terms:
Term 2

Term 3

Term 4

Your first 4 terms are 4, 24, 96, and 384.
--------
Answer: A) F
Answer:
T= 2.35 seconds
Step-by-step explanation:
⇒The question is on the time of flight.
⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the <u>projectile angle</u> and the <u>initial velocity</u> of the projectile
Given;
Initial velocity of ball= 110ft./sec.
The projectile angle= 20°
Acceleration due to gravity, g=32 ft./s²
⇒Formulae for time of fright T= (2×u×sin Ф)/g
Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.
<u>Substituting values</u>
T= (2×u×sin Ф)/g
T=( 2×110×sin 20°) / 32
T= 2.35 seconds
Answer:
D
Step-by-step explanation:
20x + 12 x =14x +30
20x - 14x = 30-12
6x= 18
6x/6 = 18/6
x = 3
so xs =3
Answer:
-2
Step-by-step explanation:
I mean i use the slope formula
and you just plug in the values of the coordinates.