Answer:
100°
Step-by-step explanation:
A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.
In triangle ABC:
70° + 50° + ∠C = 180° (sum of angles in a triangle)
120 + ∠C = 180
∠C = 180 - 120
∠C = 60°
Since ∠C is bisected into ∠ACD and ∠BCD, hence:
∠ACD = ∠BCD = ∠C / 2
∠ACD = ∠BCD = 60 / 2
∠ACD = ∠BCD = 30°
In triangle ACD:
∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)
50 + 30 + ∠ADC = 180
∠ADC + 80 = 180
∠ADC = 100°
Answer
-10
Step-by-step explanation:
-8w-7=9
add 7 to both sides
-8w=16
divide by negative 8 on both sides
w=-2
w-8=-10
Answer: the interest on the loan is $39.38
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = $350
R = 4.5%
There are 12 months in a year. Converting 30 months into years, it becomes
30/12 = 2.5. so
T = 2.5 years
Therefore
I = (350 × 4.5 × 2.5)/100
I = $39.38
Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the measure of 
and 
are on a straight line.
So:
--- angle on a straight line
Substitute known values
Collect like terms
Hey there,
The equation for the volume of a cylinder is V = πr²h.
The first step into finding the radius is to plug in what you already know into the equation:
We divide both sides by 5:
Now we divide both sides by π:
Finally we just do the square root of 49.0197224723:
The radius therefore would be about 7cm.
Hope I helped,
Amna
