Answer:
ST & TS are congruent
RST and UTS are congruent
Step-by-step explanation:
The question is not properly presented; however, I've added an attachment to give a clear picture of the question.
Required
State the property that justifies:

Triangles 
From the question, we have that:


In plane geometry, the length of ST is still the same as the length of TS.
This implies that:
because ST is congruent to TS
Moving further to determine the relationship between triangles 
Comparing both triangles:
They have a similar side ST and TS because 
And we also have that: 
So, we can conclude that:
because they are congruent
The quantity of each type of seats sold are as follows:
- Movie and a dinner seat = 200
According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.
That is, x = 4y
Also, total seats
= (x) + (y) + (z) = 3000...….............eqn(1)
Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.
- 20x + 35y + 15z = 53000...........eqn(2)
By substituting 4y for x in equations 1 and 2; we have;
<em>5y + z = 3000</em>..…........eqn(3) and
<em>115y + 15z = 53000</em>.........eqn(4)
By solving equations 3 and 4 simultaneously; we have;
y = 200 and z = 2000
and since x = 4y
x = 800
The quantity of each type of seats sold is as follows:
- Movie and a dinner seat = 200
Read more:
brainly.com/question/12413726
Answer:
No
Step-by-step explanation:
We can't use 2x + c = d for solving 2x + 1 = 9 . Here we can find the value of x from 2x + 1 = 9.

Putting the value of x in 2x + c = d :-

But still we don't know the exact value of c & d . If in the question at least we could have got one exact value of either c or d , then we could find out the value of other variable.
Answer:
Step-by-step explanation:
No of sample space , n(s) = 12 + 11 + 17 + 5 = 45
No of favorable cases , n(e) = 17
Probability of getting blue marble ,
P(e) = n(e)/n(s)
= 17 / 45
NOW
Probability of not getting blue marble,
P'(e) = 1 - p(e)
= 1 - 17 / 45
= ( 45 - 17)/45
= 28 / 45
Hope it helped :)
Answer:

Step-by-step explanation:
First you have to find out the 3% of 900 (is 27)
then you add 27 to 900
then you multiply it by 3 years (36 months)
and your result is 33372 :)