1 : 15 - scale
150 / 15 x 1 = 10
120 / 15 x 1 = 8
Dimensions of the drawings = 10 by 8
Answer: 2/3x
Step-by-step explanation:
First, you need to simplify your original line to point slope formula. Dividing the whole thing by 2 to get y by itself leaves you with
y = 3/2x - 1/2
Any perpendicular line has the opposite slope to the line it is perpendicular to, so you flip the slope to get 2/3x
Since the measurement of the longest side is missing we can use the pythagorean theorem to find the hypotenuse or longest side.
18^2 + 32^2 = c (hypotenuse) ^2
324 + 1,024 = c^2
1,348 = c^2
sqrt 1,348 = c
36.72 = c
i do not agree with ted because when you use the pythagorean theorem you do not get 47cm
this can be proved by
18^2 + 32 ^2 = 47^2
we already know the left side is 1,348
1,348 = 47^2
1,348 does not equal 2,209 which is 47 squared
<u>Answer-</u>
<u>Solution-</u>
Rational Root Theorem-
All the potential rational roots are,
The given polynomial is,
Here,
The potential rational roots are,
From, the given options only 
satisfies.
Answer:
Problem B: x = 12; m<EFG = 48
Problem C: m<G = 60; m<J = 120
Step-by-step explanation:
Problem B.
Angles EFG and IFH are vertical angles, so they are congruent.
m<EFG = m<IFH
4x = 48
x = 12
m<EFG = m<IFH = 48
Problem C.
One angle is marked a right angle, so its measure is 90 deg.
The next angle counterclockwise is marked 30 deg.
Add these two measures together, and you get 120 deg.
<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.
Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.
m<G = 180 - 120 = 60
