Answer:
JK = 18
Step-by-step explanation:
LK = x - 1
KJ = x + 11
LJ = LK + KJ = x - 1 + x + 11
-> LJ = 2x + 10
LM = 12
By tangent secant segment theorem:
Hope it helps you in your learning process.
Have a great day ahead.
Answer:
21.6
Step-by-step explanation:
7.20 x 3 =21.6
The slope-intercept equation for a straight line as - 3 x + 10.
Slope refers to a number that describes both the direction and the steepness of the line.
The slope-intercept equation for a straight line is given by:
y = m x + b;
where m = the slope and b = the y-intercept.
Here, we are given that:
m = slope = -3
y- intercept = b = 10
Put it in the equation y = m x + b, we get that:
y = (-3) x + 10
y = -3 x + 10.
Therefore, we get the slope-intercept equation for a straight line as - 3 x + 10.
Learn more about slopes here:
brainly.com/question/3493733
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Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
we have <D = (7x-1)° , <A =(5x+25)°
{ all angles of square is equal to 90° }
<A + <D = 180°
5x + 25 + 7x - 1 = 180°
12 x = 180 - 24
12x = 156
x = 13
<A = (5*13 +25) = 90
< D = ( 7*13-1) = 90
so ABCD is a square
