Answer:
z=63°{vertically opposite angle}
now,
z+10x+97=18o°{straight angle}
63+10x+97=180°
10x=180-133
x=<u>2</u><u>0</u>
<u> </u><u> </u><u> </u><u> </u><u> </u>10
x=2
hope it helps.
<u> </u><u> </u><u> </u><u> </u><u> </u>
Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.


Thanks!
Mark me brainliest!
Hey Joshua!
The correct answer is option A
a= 11 + 4b - 4c
-4c = a + 11 + 4b
Divide both sides by -4
-4c/-4 = (a + 11 + 4b)/-4
c = a -4b - 11/-4
I hope I helped!
Answer:
Option b.
Step-by-step explanation:
Given :
is right angled triangle . An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9 and the length of T Q is 16. The length of S R is x.
In the figure,
and RT is perpendicular to SQ.
We know that in a right angled triangle if a perpendicular is drawn from the vertex of the right angle to the hypotenuse then triangles on both sides of the perpendicular are similar to each other and to the whole triangle .
Therefore , 
Also, we know that if two triangles are similar then their sides are proportional .

So, option b. is correct
The first step to determining the answer to this item is to calculate for the effective interest using the equation,
ieff = (1 + i/m)^m - 1
where ieff is the effective interest, i is the given interest and m is the number of compounding period.
Part A: m in this item is equal to 12.
Substituting,
ieff = (1 + 0.10/12)^12 - 1 = 0.1047
The amount of money after n years is calculated through the equation,
An = A(1 + ieff)^n
If An/A = 2 then,
2 = (1 + 0.1047)^n
The value of n is 6.96 years
Part B: For the continuously compounding,
An = Ae^(rt)
An/A = 2 = e^(0.10t)
The value of t is equal to 6.93 years.
Hence, the answers:
<em>Part A: 6.96 years</em>
<em>Part B: 6.93 years</em>