Answer:
The perimeter of △DEF 43
Step-by-step explanation:
Sin A/ a = Sin B / b = Sin C/ c
sin D/ d =
Sin E / e = sin F /f
sin 52/ e = sin 90 / 18
e = 18 x sin 52 / sin 90
e = 14.184 /1
e = 14.2
From phythagoras theorem ,
/hyp/² = /opp/² + /adj/²
18² = 14.2² + /adj/²
/adj/²= 18² - 14.2²
/adj/² = 324 + 201.64
/adj/² = 119.51
/adj/ = √122.36
= 11.1
Perimeter of Triangle = a + b +c
where a = side
b = base
c = side
Perimeter = 18 + 11.1 + 14.2
Perimeter = 43.3
Perimeter= 43
Answer:
B.
Step-by-step explanation:
First, the equation must be solved, so x + 6 ≤ -9
Step 1: Subtract 6 from both sides to cancel the +6; The new equation is
x ≤ -15.
This means that the inequality must have a filled in circle starting at -15, and an arrow going to the left because -15 is greater.
For proof, substitute -20 for x:
-20 ≤ -15 ←This is true
-2x+y. You have to distribute 1/2 to -4x and 2y which will get -2x+ y as a expanded version
Answer:
20 games
Step-by-step explanation:
Lets work backwards; *Adding what he gave away or lost*
-Alex started with 16 video games
-Add the games gave to his brother (+2)
-Add the games he sold (+3)
-The number is 3/4 of his games
-Subtract the games he traded with hector (-1/4)
Equation: 16+2+3-6= 3/4 X (variable) *You can choose other than X*
21-6 = 15
15 = 3/4
Take the reciprical of 3/4 which is 4/3 and multiply it by both sides
4/3 x 15 = 3/4 x 4/3
4/3 X 15 = 20!
ALEX STARTED WITH <em>20 GAMES!</em>
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