Answer:
15
Step-by-step explanation:
take 9 and divide by -3 and you get -3
then 21 divided by -7 is -3
so, you do -5 multiplied by -3 and get 15.
you can then take 15 and divide it by -3 and get 5
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
Answer:
y = -
x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = -
, hence
y = -
x + c ← is the partial equation
to find c substitute (6, - 3 ) into the partial equation
- 3 = - 9 + c ⇒ c = - 3 + 9 = 6
y = -
x + 6 ← equation in slope- intercept form
Answer:
F= 2
F=-2
F=x-25
Step-by-step explanation:
Answer:
C; 4
Step-by-step explanation:
Mathematically, when two lines are perpendicular, the product of their slopes equal -1
in that case, we have it that;
m1 * m2 = -1
where m1 is the slope of the first line and m2 is the slope of the second line
Hence,
m2* -1/4 = -1
-m2/4 = -1
-m2 = -4
m2 = 4