Answer:
D. m<RST = 2(m<TSU)
Step-by-step explanation:
Given that m<RST = 76°, m<RSU = 48°, and m<TSU = 38°, this implies that:
SU is an angle bisector of angle RST. Thus,
m<RST is twice the measure of <RSU or <TSU.
Therefore, the only option that is correct is:
D. m<RST = 2(m<TSU)

<u>Step-by-step explanation:</u>
Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,
180° < x < 270° i.e. in third quadrant . We need to find tan(2x) . Let's find out:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
, since in third quadrant .
remains same .
Now , 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore,
.
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵
is a root of the equation
- Substitute x by
in the equation above to find k
∵ 2(
)² + 11(
) + k = 0
∴ 2(
) +
+ k = 0
∴
+
+ k = 0
- Add the like terms
∵
+
=
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
#LearnwithBrainly
Step-by-step explanation:
P(X)=2x²-5x-3 is in the form ax²+bx+c
Using quadratic equation
x={-b±√(b²-4ac)}/2a
x=3,-1/2
0.41, 0.5, 3/5 is the order