Answer:
<em>x is 12 and y is 3</em>
Step-by-step explanation:
Given a parallelogram LMNO,
LM = ON and OL = NM
Given;
ON = 9x - 8
LM = 8x + 4
NM = x - 8, and
OL = 3y - 5
Substitute into the expression
LM = ON
8x + 4 = 9x - 8
8x - 9x = -8 - 4
-x = -12
x = 12
Also OL = NM
3y - 5 = x - 8
3y - 5 = 12-8
3y - 5 = 4
3y = 4+5
3y = 9
y = 9/3
y = 3
<em>Hence the value of x is 12 and y is 3</em>
<em></em>
Answer:
Kira takes 35 minutes to get ready for school.
Step-by-step explanation:
The time taken by Jared to get ready for school is, 60 minutes.
Time taken by Kira to get ready for school is 
times as much as Jared needs.
Compute the time taken by Kira as follows:
Time taken by Kira 
Thus, Kira takes 35 minutes to get ready for school.
Answer: 22 units.
Step-by-step explanation:
Here FSB and ZDR are two triangles.
In which, FS = 38 unit, FB = 55 unit, ZD = 15.2 unit and ZR = x unit.
Also, 
Thus, By the property of similarity,
⇒ 
⇒ 
⇒ 
⇒ 
Thus, ZR = 22 unit.
Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.
Answer:
b=5
Step-by-step explanation:
10 = -2b + 4b
Combine like terms
10 = 2b
Divide each side by 2
10/2 = 2b/2
5 = b
