Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
You have to build an equation to find the answer,
angles in a straight line add upto 180°
so your equation would be,
12x+30°=180°
-30 -30
=12x=150°
÷12 ÷12
=x=12.5°
now find the measures of the angles by using 12.5 as x.
angle EAF= 2x
=2×12.5
=25° degrees
angle DAE= 4x
=4×12.5
=50°degrees
angle CAD=6x
=6×12.5
=75°degrees
check,
30+25+50+75=180°degrees
hope this helps.......
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet
Part A: slope is 40
And i don’t know the rest I’m sorry
-2x-6
EXPLANATION
(3x-5) = (-2x) - 6
