<em>x = - 2</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>5x - 6 = - 16</em>
<em>5x = - 16 + 6</em>
<em>5x = - ( 16 - 6)</em>
<em>5x = - 10</em>
<em>x = - 10 : 2</em>
<em>x = - 2</em>
<em>Good luck ! </em>
Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.
The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.
Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.
m<PSR = m<PSQ + m<QSR = 30 + 60 = 90
m<PQS = 120
m<PSR : m<PQS = 90 : 120 = 3 : 4
No choice shows the correct answer.
Answer: (17.42, 20.78)
Step-by-step explanation:
As per given , we have
Sample size : n= 9
years
Population standard deviation is not given , so it follows t-distribution.
Sample standard deviation : s= 1.5 years
Confidence level : 99% or 0.99
Significance level : 
Degree of freedom : df= 8 (∵df =n-1)
Critical value : 
The 99% confidence interval for the population mean would be :-
Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .
Answer:
Step-by-step explanation:
let pickle bought by alexa =x
then according to given condition ,
pickle bought by Tom= (1/3) of Alexa
pickle bought by Tom= (1/3) x
hence also given
totall pickle cost = Tom cost + alexa cost = 56p
(1/3)x+x=56
taking L.C.M
(4/3)x=56
x=56*3/4
x=42 p
so it means,
<h2>
Alexa cost = x = 42p</h2><h2>
Tom cost = (1/3)x= (1/3)*42 = 14 p</h2>
Answer:
C
Step-by-step explanation:
the equation of the parabola is : y = x² - 3x
the equation of the line is y = x + 1
and the shaded area is between those graphs
therefore y ≥ x² - 3x and y ≤ x + 1
