Answer:
100/2048=0.048828125%
Step-by-step explanation:
He has a 50% chance of making each free-throw, so 1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/(2^11)=1/2048
to get a percentage you time by 100 to get 100/2048
Based on the CPCTC theorem, the congruences that are true about the given triangles are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
<h3>What is the CPCTC Theorem?</h3>
According to the CPCTC theorem states that if two triangles are congruent to each other, then, all their corresponding parts will be congruent to each other.
Given that triangles JKL and RST are congruent to each other, therefore:
∠J ≅ ∠R
∠K ≅ ∠S
∠L ≅ ∠T
JK ≅ RS
KL ≅ ST
JL ≅ RT
Therefore, the congruences that would be true by CPCTC are:
B. ∠K ≅ ∠S
C. KL ≅ ST
D. JK ≅ RS
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
#SPJ1
Answer:
x = 52.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides, thus is isosceles
The base angles of an isosceles triangle are also congruent, thus
x =
=
= 52.5
Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
![30x+b=150 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=30x%2Bb%3D150%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
![70x+b=270 \ \ \ \ equation \ 2](https://tex.z-dn.net/?f=70x%2Bb%3D270%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%202)
Now we will subtract equation 1 from equation 2 we get;
![70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120](https://tex.z-dn.net/?f=70x%2Bb-%2830x%2Bb%29%3D270-150%5C%5C%5C%5C70x%2Bb-30x-b%3D120%5C%5C%5C%5C40x%3D120)
Dividing both side by 40 we get;
![\frac{40x}{40}=\frac{120}{40}\\\\x=\$3](https://tex.z-dn.net/?f=%5Cfrac%7B40x%7D%7B40%7D%3D%5Cfrac%7B120%7D%7B40%7D%5C%5C%5C%5Cx%3D%5C%243)
Now we will substitute the value of x in equation 1 we get;
![30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60](https://tex.z-dn.net/?f=30x%2Bb%3D150%5C%5C%5C%5C30%5Ctimes3%2Bb%3D150%5C%5C%5C%5C90%2Bb%3D150%5C%5C%5C%5Cb%3D150-90%20%3D%5C%2460)
So we can say that the equation can be written as;
![y =3x+60](https://tex.z-dn.net/?f=y%20%3D3x%2B60)
Hence we can say that fixed rate is $60 and per student charge is $3.
Answer:
x=4
Step-by-step explanation:
well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4