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>
As the sides shown are same so the base of large triangle is double the base of smaller triangle
That is
2(3x-8) =20
Divide both sides by 2
3x-8 = 10
Add 8 to both sides
3x =18
Divide both sides by 3
x=6
So answer is 6.0
Answer:
191
Step-by-step explanation:
Sorry it's sideways. I drew a box chart for this. First, fill in what you know: the number of white and black beads Ally has. Then, calculate how many black beads Betty has (Ally's number, 59, minus 35.) 59-35 = 24.
They tell you the total number of beads is 346. Add up Ally's total to get 131, then subtract that from 346. That's Betty's total beads, 215.
Last, subtract the 24 black beads Betty has from the 215 total to get 191.
Answer:
units
Step-by-step explanation:
If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.
We know the formula of length of perpendicular from a point
to the straight line ax + by + c = 0 is given by

Therefore, in our case the perpendicular distance is
units. (Answer)
Answer:
{6, 16, 24}
Step-by-step explanation:
The least common multiple is the least number that is common to the multiples of two or more numbers.
The LCM of 2,3,4 is 12
The LCM of 6,16,and 24 is 48
The LCM of 3,8, 12 is 24.
The LCM of 6,8, 12 is 24.
The numbers that have the least common multiple of 48 is {6, 16, 24}



The LCM is the product of the highest powers of the common factors
