Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
<h3>What is the similarity law for triangles?</h3>
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1
Answer:
X = 20
The picture explains my answer
The answer is optional d.
Answer:
Number of small cups of lemonade that was sold by Ashley = 98
Number of large cups of lemonade that was sold by Ashley = 57
Step-by-step explanation:
Let x = number of small cups of lemonade that was sold by Ashley.
Let y = number of large cups of lemonade that was sold by Ashley.
x small cups of lemonade was sold for $1.25 and y large cups of lemonade was sold for $2.50. The total cost was $265. This means
1.25x + 2.5y = 265 - - - - - - -1
Ashley sold a total of 155 small and large cups of lemonade. This means
x + y = 155 - - - - - -2
Substituting x = 155-y into equation 1,
It becomes
1.25(155-y) + 2.5y = 265
-1.25y + 2.5y = 265
- 1.25y + 2.5y = 265 -193.75
1.25y = 71.25
y = 71.25/1.25
y = 57
x = 155-y = 155-57
x = 98
