Data:
l and m are parallel lines
QR and ST are perpendicular in R
Angle 1 is 63°
The angle formed by perpendicular lines is a right angle (90°)
Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.
Alternate angles are congruent, have the same measure.
The sum of the interior angles of a triangle is always 180°. In triangle QRT:
Use the equation above to find the measure of angle 2:
Then, the measure of angle 2 is 27°
Answer:
There are 30 different types of shampoo.
Step-by-step explanation:
Each shampoo has a color-code bottle, lid, and label print.
For bottles, there are five different colors, so there are five different possibilities.
For lids, there are three different colors, so there are three different possibilities.
And for labels, there are two different colors, so there are two different possibilities.
To find how many different types of shampoo can be made, we just need to multiply all the possibilities for colors of bottle, lid and label:
Number of different types of shampoo = 5 * 3 * 2 = 30
Answer:
Input:
sqrt(x^2 - 10 x + 25) = x - 5
Plot:
Plot
Alternate forms:
sqrt((x - 5)^2) + 5 = x
sqrt((x - 5)^2) = x - 5
sqrt((x - 5)^2) - x = -5
Alternate form assuming x is positive:
x = abs(x - 5) + 5
Number line:
Number line
Integer solution:
x>=5
Step-by-step explanation:
Answer:
I'll abbreviate each one:
V - 8 x 10^-4
AR- 1.3 x 10^-4
A- 2.27 x 10^-5
AG- 4.5 x 10^-4
L- 3.5 x 10^-4
O- 1.5 x 10^-3
