Answer: 16 units
Step-by-step explanation:
Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
Step-by-step explanation:
x+y=7 _ eqn1
x-y=3_ eqn2
add eqn1 and eqn2
x+y=7
+ x-y=3
= 2x= 10
x=5
x+y=7
5+y=7
y=7-5
y=2 proved
35 I hope that helps you out
Answer:
A z-score
Step-by-step explanation:
A z-score of a data point portrays its number of standard deviations from the mean. It is technically a measure the number of standard deviations a raw score is above or below the mean. It can be placed on a normal distribution curve
is also referred to as a standard score.
