Answer:
Incomplete questions
Check attachment for correct question.
The correct answer is
A. ∠JXM and ∠NXP are complementary
step explanation:
line JP is a straight line and sum of angle on a straight line is 180°.
There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN
Note: from the attachment, it is shown that ∠MXN is a right angle i.e. 90°.
Then, sum of angle on this line is 180°.
∠JXM + ∠NXP + ∠MXN = 180°
∠JXM + ∠NXP + 90° = 180°
∠JXM + ∠NXP = 180° — 90°
∠JXM + ∠NXP = 90°
From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).
They don't have to be next to each other, just so long as the sum is 90 degrees.
Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary
So the correct option is A
Answer:
No
Step-by-step explanation:
From part (b)
If number who voted = 280
Number of voters who would have voted Geron:
35% * 280
0. 35 * 280 = 98 voters
40 people voted for others:
To check if estimate from. Part b is accurate :
10% voted for others
10% of estimated voters = 40
Let, number of estimated voters = x
0.1 * x = 40
0.1x = 40
x = 40/0.1
x = 400
If 40 people Voted others, the the number of voters should be 400 and not 280
Answer:
0.6845% per week.
Step-by-step explanation:
Simple Interest Calculation A = P(1 + rt)
Solving our equation:
r = (1/730.5)((15000/2500) - 1) = 0.00684463
r = 0.00684463
Converting r decimal to R a percentage
R = 0.00684463 * 100 = 0.6845%/week
Calculating the annual rate
0.6845%/week × 52 weeks/year = 35.594%/year.
The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.
Answer:
40
Step-by-step explanation:
Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.
As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.
_____
The equation reduces, mod 23, to ...
10x = 11
Its solutions are x = 23n +8.
if a b 9 are in GP
b÷a = 9 ÷ b
b^2 = 9a
if a - 1 b 9 are in AP
2b = a+8
b = a+8÷2
substitute
b is equal to a + 8 by 2 in b square equal to 9 a
(a+8÷2)^2 = 9a
a^2+16a+64 = 36a
a^2 -20a +64 =0
(a-16) (a-4) =0
a= 16 or a=4
when a=16 b= 12
when a=4 b= 6
Value of a and b are given above
