Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
The slope<span> of a horizontal </span>line<span>. A horizontal </span><span>line has slope 0
</span>
Let x = the length of the shorter piece
x+x+16=50in
2x=50-16
2x=34
x=17
Then
x+16=17+16
x+16=33
Subtract 16 from both sides
The lengths are 17in and 33in
Answer:
There are 32 dogs and 72 animals in total.
Step-by-step explanation:
In order to find the amount of dogs, you need to set up an equation to solve for the missing variable. Let 'c' be the amount of cats and 'd' be the amount of dogs. We know that there are 40 cats, so c = 40. We also know that there are 25% more cats than dogs, so we can form an equation to express this difference: 1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%. Since we know c = 40, we can set our second equation equal to 40: 1.25d = 40. Using inverse operations, we divide both sides by 1.25 to get d = 32. So, d + c, or 32 + 40 = 72 total animals.
Answer:
⅓
Step-by-step explanation:
n(s) 1 die & 2 coins = 6×4 = 24
n (event) 1 head = 6 (by die) +2( by coins)
= 8
so, probability P = 8/24 = ⅓
