Answer: C
Step-by-step explanation:
Since this is an isosceles triangle as indicated by the markers on QP and PR, we know that QS and SR are equivalent.
To find the value of n, we set QS and SR equal to each other.
6n+3=4n+11 [combine like terms]
2n=8 [divide both sides by 2]
n=4
Now that we know n=4, we know that A is incorrect. What we can do is use the value of n to solve for QS, SR, and QR.
QS
6(4)+3=13
Since the length of QS is 13, we know B is incorrect.
SR
4(4)+11=27
Since SR is 27, C is a correct answer.
QR
13+27=40
Since QR is 40, the only correct answer is C.
Answer:
500
Step-by-step explanation:
First we make an equation to find the score for the bonus round. x is the score for the bonus round .
300 + x = 800
Next we subtract 300 from both sides of the equation
300 - 300 + x = 800 - 300
Which get us
0 + x = 500
x = 500
Her score in the bonus round is 500
Answer:
Option D. 18 cm
Step-by-step explanation:
we know that
A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet.
A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
The centroid divides each median in a ratio of 2:1
In this problem the centroid of triangle RST is the point X
so

-----> equation A
-----> equation B
substitute equation A in equation B

Solve for XW


Find the value of RX
-----
Answer:
y=4x+27
Step-by-step explanation:
y+5=4(x+8)= (5-)y+5=4x+32(-5)
y=4x+27