The postulate of the corresponding angles establishes that when a transversal line cuts two parallel lines, the corresponding angles are congruent. These angles are on the same side of the parallel lines and on the same side of the transversal line.
Then, if we based on this definition and analize the figure attached, we can notice that the angles ∠1 and ∠3 are corresponding angles, so they are congruent. In this case the angle ∠1 is internal and the angle ∠3 is external.
The answer is: ∠1 and ∠3 are congruent (See the image attached).
The answer is C. 5x
We need to find the price of one magazine. To do this we divide 350 by 70
350 / 70 = $5 per magazine
X = 4/15 or 0.26
First add the numbers on the left side of the equation.
0.72 = 0.8 - 0.3x
Then move the variable to the left as well.
0.3x + 0.72 = 0.8
Move the constant to the right by subtracting.
0.3x = 0.8 - 0.72
Subtract the numbers
0.3x = 0.08
Divide both sides by 0.3.
And that should yield your answer.
Hope this helps. ^^
Answer: She has 21 lira coins.
Step-by-step explanation:
Given, Laura collects old foreign coins. She has 83 coins in total. She has 53 lira and drachma coins. She has 51 lira and peseta coins.
Let x = the number of lira coins.
y= the number of drachma coins.
z= the number of peseta coins.
Then, as per given, we have
x+y+z=83 (i)
x+y=53 (ii)
x+z=51 (iii)
From (ii) and (iii)
y=53-x
z=51-x
Put these values in (i) , we get
x+(53-x)+(51-x)=83
⇒ x+53-x+51-x=83
⇒ 104-x=83
⇒104-83=x
⇒x= 21
Hence, she has 21 lira coins.