Answer:
142° is the measure of angle 2.
Step-by-step explanation:
When two lines intersect, they make four angles. The angles facing each other are equal.
Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.
The measure of angle 3 = 38 degrees.
We know that the angle 1 is against angle 3 and is equal to 38.
Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.
Now, the sum of all four angles = 360 degrees
∠1 + ∠2+ ∠3 + ∠4 = 360°
38° + x + 38° + x = 360°
2x = 360° - 76°
2x = 284°
x = 142°
Hence, ∠2 = 142°
Answer:
Therefore 80 ceperies will he need to sell this month.
Step-by-step explanation:
Average: Average is the ratio of sum of all numbers to the total number present in the data.
Given that Herbert has sold 99, 37, 86 and 73 copeirs in the last 4 months.
Let he need to sell x copeirs in this month.
According to the problem,
⇒ 99+37+86+73+x= 75×5
⇒295 + x= 375
⇒x = 375 - 295
⇒ x= 80
Therefore 80 ceperies will he need to sell this month.
Mike will get there first with a time of 32 minutes and Jared with 40 minutes
the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0
13x^2-16x = x^2 -x
we need to get in it the standard form
subtract x^2 from each side
12x^2 -16x = -x
add x to each side
12x^2 -15x = 0
12x^2 -15x -0 =0
a=12 b=-15 c=0
b^2 -4ac
the discriminant = b^2
b^2 = (-15)2 = 225
