The statement <S and <H are equal in measure is False
<h3>How to determine the true statement?</h3>
The similarity statement is given as:
ΔRST is similar to ΔHGF
This means that:
- Angles R and H are congruent
- Angles S and G are congruent
- Angles T and F are congruent
Hence, the statement <S and <H are equal in measure is False
Because S equals G and R equals H
Read more about similar triangles at:
brainly.com/question/14285697
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Find the median of each set:-
Median is middle number of a data set. If a data set has an odd number of numbers then the median is the middle number when ordered form least to greatest but if its an even number you have to find the mean for the middle 2 numbers when ordered for least to greatest.
A.
1.2, 2.4, 3.2, 3.2, 3.6, 4.0, 4.1, 4.7
Even numbers = 8
3.2 + 3.6 = 6.8
6.8 ÷ 2 =
Median = 3.4
So this shows that A isn't the answer because the median of A is 3.4, not 3.2.
B.
1.6, 2.8, 2.9, 3.1, 3.3, 3.6, 4.2, 4.5
Even numbers = 8
3.1 + 3.3 = 6.4
6.4 ÷ 2 = 3.2
Median = 3.2
<span>So this shows that B is the answer because the median of B is 3.2.
C.
1.8, 2.0, 2.0, 2.2, 3.2, 4.7, 4.8, 4.9
</span>
Even numbers = 8
2.2 + 3.2 = 5.4
5.4 ÷ 2 = 2.7
Median = 2.7
<span>So this shows that C isn't the answer because the median of C is 2.7, not 3.2.
</span>
D.
1.4, 1.7, 2.9, 3.0, 3.1, 3.2, 3.2, 3.2, 4
Odd numbers = 9
Median = 3.1
<span>So this shows that D isn't the answer because the median of D is 3.1, not 3.2.
</span>
The stem and leaf plot which median is 3.2 is B.
Use distributive property: multiply the number outside the bracket by each number inside it
1. 14x+21=35 14x=14 x=1
2. -32x-24=40 -32x=64 x= -2
3. 16-10x=-44 -10x=-60 x=6
Answer:
x = 2 , y = 0 , z = 3
Step-by-step explanation:
Cramer's rule is a rule through which we can find the solution of linear equation.
we have the three linear equations as
x+2y+3z=11
2x+y+2z=10
3x+2y+z=9
AX=B
A: coefficient matrix
X= unknown vectors(x,y,z)
D = values of the linear equation (11 , 10 , 9)
now we find the determinant of the given linear equation
determinant of the matrix will be
A = ![\left[\begin{array}{ccc}1&2&3\\2&1&2\\3&2&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C2%261%262%5C%5C3%262%261%5Cend%7Barray%7D%5Cright%5D)
= 1(1-4) - 2(2-6) + 3(4 - 3)
= 1(-3) - 2(-4) + 3(1)
= -3+8+3 = 8
also D
so the determinant is Non zero we can apply Cramer's rule
we will be replacing the first column of the coefficient matrix A with the values of D
by replacing the first column we will get the value of the variable 'x'
Dx = ![\left[\begin{array}{ccc}11&2&3\\10&1&2\\9&2&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%262%263%5C%5C10%261%262%5C%5C9%262%261%5Cend%7Barray%7D%5Cright%5D)
= 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16
x = 
= 
= 2
similarly
Dy = ![\left[\begin{array}{ccc}1&11&3\\2&10&2\\3&9&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2611%263%5C%5C2%2610%262%5C%5C3%269%261%5Cend%7Barray%7D%5Cright%5D)
= 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0
y = 
= 0
Dz= ![\left[\begin{array}{ccc}1&2&11\\2&1&10\\3&2&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%2611%5C%5C2%261%2610%5C%5C3%262%269%5Cend%7Barray%7D%5Cright%5D)
= 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24
z = 
= 
so we have the solution as
x = 2 , y = 0 , z = 3
Therefore the solution for the given linear equations is (2,0,3).
