The width of Tamara's new gym as determined from her new scale factor is; 40 meters.
<h3>What is the width of Tamara's new gym as required in the task content?</h3>
It follows from the complete task content that it is required to determine the width of Tamara's new gym.
On this note, it follows that since the old gym render the length and width to be in the ratio; 45: 20 respectively, the same ratio must be preserved in the new gym.
On this note, it follows that the width of the new gym can be determined as follows;
45/20 = 90/width
width = (90×20)/45
Hence, width, w = 40 meters.
Read more on scale factor;
brainly.com/question/25722260
#SPJ1
The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.
Assume the number of tickets to be purchased is x.
The expression for the total cost at Carnival M is:
= Entrance fee + (price of tickets x number of tickets)
= 5 + 0.50x
The expression for the total cost at Carnival P is:
= 7 + 0.30x
To find the number of tickers, equate both expressions:
5 + 0.50x = 7 + 0.30x
0.50x - 0.30x = 7 - 5
0.20x = 2
x = 2 / 0.20
= 10 tickets
10 tickets will need to be bought to both Carnivals for the cost to be the same.
<em>Find out more at brainly.com/question/15300985.</em>
The given measurements highlight that a scalene triangle is being discussed. This therefore highlights that AC is the hypotenuse and hence the longest side. On the other hand, CB is the base or the perpendicular. Solving this to find AB will result in the application of Pythagoras theorem whereby, AC^2 = AB^2 + CB^2. Solving this, AB is equal to 2 inches.
Answer:
x= -2
x= 2
Step-by-step explanation:
First, identify the problem.
l x+3 l = 5
Secondly, plug in the value for x.
l -2 + 3 l = 5
l -8 + 3 l = 5
etc.
Lastly, determine the answer.
x= -2
x= 2
Reminder: Anything within absolute value turns into a positive.
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU