<span>We write the equation in the standard form which is:
ax^2 + bx + c = 0
(x + 15)(x) = 100
x^2 + 15x - 100 = 0
(x + 20) (x-5) = 0
The solutions are
x = -20 and x = 5
Therefore, the correct answer is option B. </span><span>The solution x = 5 should be kept, but x = –20 is unreasonable.</span><span>
</span>
CONSECUTIVE NUMBERS; x, x+1
(x+1)4=3(x)+23
4x+4=3x+23
4x-3x=23-4
x=19
x+1=20
THEREFORE the consecutive numbers are 19&20
Reflection:
Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG.
Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.
The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.
So According to the above statement,
GF ≅ FE (: given)
DF is the common side to triangles DEF and DFG.
DFG is the included side.
Thus ∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)
Learn more about Reflection on:
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Answer:
24×18 432 ft (hope this helps)
Answer:Jason’s salary depends on the number of hours he works. The independent variable is the number of hours and the dependent variable is salary. Let x = the number of hours worked Let y = Jason’s salary The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent the function, assuming Jason earns $10 per hour The number of hours the train takes depends on the distance. The distance is independent and the number of hours is dependent. {(2,20)(4,40)(6,60)(8,80)(10,100)} For every 2 hours it takes 20 miles. The amount of money depends on the time worked.
Step-by-step explanation:
