Answer:
A) ERROR
B) ∠C = 26°
Step-by-step explanation:
Houston, We have a problem!!! too much information
If we had a legit triangle, the law of sines would hold
19/sin138 = 8/sin20
28.395 = 23.390
as this is NOT an equality, the triangle does not exist as described.
IF it did, we'd get different results depending on which set we used
∠F = 180 - 138 - 20 = 22°
Law of sines
19/sin138 = DE/sin22 ⇒ DE = 19sin22/sin138 = <u>10.63697...</u>
or
8/sin20 = DE/sin22 ⇒ DE = 8sin22/sin20 = <u>8.762211...</u>
If we attempt to use Law of cosines
DE² = 19² + 8² - 2(19)(8)cos22 = <u>11.9639...</u>
so really none is correct because we attempt to use trig calculations to a non-triangle.
12) AC² = 15² + 19² - 2(15)(19)cos120
AC = 29.51270...
29.51270 / sin120 = 15/sinC
C = arcsin(15sin120/29.51270) = 26.1142... <u>26°</u>
The given lines are perpendicular
Step-by-step explanation:
if Two lines are perpendicular then their slopes are
m
Where m₁ is slope of first line and m₂ is the slope of second line.
Since the lines are in slope-point form the standard form is:
where m is the slope
The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5
The slope of second line y= 5/9x + 2/9 is: m₂= 5/9
So, m i.e 
So, The given lines are perpendicular
Keywords: Perpendicular lines, slope
Learn more about Perpendicular lines at:
#learnwithBrainly
Answer:
Hmmm, Well this is my personal opinion that you should figure this out yourself, this is a question only you can answer.
Step-by-step explanation:
P.S Can I have brainliest?
2 = 25%. 25% also means 1/4. So, it is a quarter of something. So. So find 100%, you have to multiply 2 by 4. 2 * 4 = 8. Roman has 8 pencils in his backpack.
