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>
A very simple example problem to satisfy the required above is,
"John has 8 apples and 17 oranges. How much more oranges does John has than apple?"
To answer this item, one needs to subtract the number of apples from the number of oranges. This is as shown below,
D = 17 - 8 = 9
The concept of "how much more than" is linked to finding the difference between the numbers.
Answer:
a postulate
Step-by-step explanation:
a postulate which states that through any two points, there is exactly one line
Using substitution method
from the first equ
2x+y=-1
y= -1-2x --------(3)
put equ 3 into equ 2
3x -1-2x=6
3x-2x=6+1
x =7
put x+7 into equ 1
2(7) + y = -1
14 + Y =-1
y= -1-14
y=-15
so
x=7 and y=-15<span />
Distribute
remember a(b+c)=ab+ac
we can actually divide both sides by x
5(4x+8)=4(6x-10)
distribute
20x+40=24x-40
minus 20x both sides
40=4x-40
add 40 both sides
80=4x
divide by 4
20=x
