Answers
Answer:
∠ GJK = 22°
Step-by-step explanation:
∠ HJI = ∠ JHG ( alternate angles ), then
7x - 16 = 5x + 8 ( subtract 5x from both sides )
2x - 16 = 8 ( add 16 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12 , so
∠ KJI = 7x - 16 = 7(12) - 16 = 84 - 16 = 68°
Then
∠ GJI = 90° ( vertex of a rectangle )
∠ GJK = 90° - 68° = 22°
Related Questions
Can the following angles create a triangle and why? 11°, 101° and 60°
Yes, because the angles do add up to 180°
No, because the angles do add up to 180°
Yes, because the angles do not add up to 180°
No, because the angles do not add up to 180°
Answers
Answer:
No, because the angles do not add up to 180°
A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 19 years after it was purchased, to the nearest hundred dollars?
Answers
Answer:
The answer is "$238".
Step-by-step explanation:
Current worth[tex]= \$ 17,000[/tex]
depreciates by [tex]\frac{1}{2}[/tex] in 3 years.
time= 19 years
depreciates rate=?
Using formula:
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]
calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]
[tex]= 8,500[/tex]
so,
[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]
depreciates rate= 20%
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]
Answer:
200
Step-by-step explanation:
Halving Formula:
y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}
y=a(
2
1
)
h
t
a=17000\hspace{40px}h=3\hspace{40px}t=19
a=17000h=3t=19
h is the halving time
\text{Plug in:}
Plug in:
y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}
y=17000(
2
1
)
3
19
y=210.826702215
y=210.826702215
y\approx 200
y≈200
of 4 Tom is applying for a visa
He has to pay £2,100 for the visa as well as a 8% charge on the visa price for an on-the-day
service If Tom has 1 year to save, how much money should he save per month to be able to cover his
costs?
Round your answer to the nearest £10.
Answers
Answer:
190
Step-by-step explanation:
0.08 × 2100 = 168
168 + 2100 = 2268
2268 ÷ 12 months = 189
With rounding, the answer is 190 per month
Four less than a number is twelve
Answers
If you buy 3 shirts, you get 10% discount. If you paid $270 for 6 shirts
what is the original price of a T-shirt?
Answers
$270 / 2 = $135
This is the price of 3 T shirts combined.
Find 10% of 135
10% of $135 is $13.5
Subtract the discounted price from the price of the 3 combined T shirt.
$135 - $13.5 = $121.5
This is the price of 3 shirts without discount.
To find the price of 1 T shirt divide $121.5 by 3
$121.5 / 3 = $40.5
Therefore the price of 1 T shirt is $40.50
The original price of 1 T-shirt is $40.50.
We have given that,
If you buy 3 shirts, you get 10% discount.
If you paid $270 for 6 shirts,
We have to determine the original price of a T-shirt
First we are gonna divide 270 by 2
$270 / 2 = $135
This is the price of 3 T-shirts combined.
Find 10% of 135
What s the discount?The discount is the list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
10% of $135 is $13.5
Subtract the discounted price from the price of the 3 combined T-shirt.
$135 - $13.5 = $121.5
This is the price of 3 shirts without a discount.
To find the price of 1 T-shirt divide $121.5 by 3
$121.5 / 3 = $40.5
Therefore the price of 1 T-shirt is $40.50.
To learn more about the original price visit:
https://brainly.com/question/7459025
#SPJ2
6. You have $1.95 in quarters and dimes. You have 12 total coins. How many of each denomination
do you have? IS
Answers
Step-by-step explanation:
d+q =12
.25q + .10d = 1.95
d = 12-q
substitute
.25q + .10(12 -q) =1.95
.25q + 1.2 - .1q = 1.95
.15q = .75
q = 5. quarters
d + 5 = 12
d = 7 dimes
Answer:
5 quarters and 7 dimes
Step-by-step explanation:
5 quarters = $1.25
7 dimes = $0.70
7 + 5 = 12
$1.25 + 0.70 = $1.95!!
I hope this helped :)
Also, this answer was calculated by g00gle.
Rational expression please help
Answers
Answer:
Option C is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
Some number subtracted by -6 is 41. Multiply this number by-3. Then divide
this number by -4. What is the final number?
Answers
x=-47 times -3
=141 divided by -4 =35.25
can someone please help with the question I have listed, thank you!
Answers
Answer:
Ok i will try if i can do it
write an explicit formula for a n the nth term of of the sequence 5,15,25
Answers
Answer:
an = 10n - 5
Step-by-step explanation:
Write an explicit formula for a n the nth term of of the sequence 5,15,25
An explicit formula for the above question is;
an = a+ (n - 1)d
Where
a = First term
d = Common Difference
n = nth term
We are given the sequence below:
5,15,25
The first term a = 5
Common Difference = 15 - 5 = 10
To find the nth term = an
an = a+ (n - 1)d
an = 5 + (n - 1)10
an = 5 + 10n - 10
an = 10n - 5
look at the pic~ find the area of the figure please
Answers
Answer:
164 m^2
Step-by-step explanation:
14*11=154
5*2=10
10+154=164
PLEASE ANSWER!!!!!!!
Answers
Answer:
I am just trying to help but by the looks of it, it could be the right, if its wrong so sorry.
Step-by-step explanation:
Factor yz + 6 + y +6z.
z + 1)(y + 6)
(z - 1)(y + 6)
(z + 6)(y - 1)
Answers
Explanation:
yz + 6 + y + 6z
= yz + y + 6 + 6z
= y(z+1) + 6(1+z)
= (z+1)(y+6)
For (z+1), you can also write (1+z), it doesn’t matter.
Hope it helps!
HELP ME PLEASE!
I am currently working on my homework and this question popped up. I don't remember how to do it... If you can, please answer this question and show your work so I can do it next time!
Thank you so much!
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answers
Answer:
Angle CAB= 63°
Angle ABC= 90°(right-angle)
ACB=180°-(CAB+ABC)
=180°-(63°+90°)
=180°-153°
=27°
Step-by-step explanation:
Answer:
BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°
Step-by-step explanation:
Marcie Bruno received a 4.2% merit increase and a 2.75% cost-of-living increase
after her quarterly review. Her new weekly salary was $788.92. What was her
weekly salary prior to the increases?
Answers
Answer:
734.1
Step-by-step explanation:
100%=788.92
4.2%=33.13
2.75%=21.69
33.13+21.69=54.82
788.92-54.84=734.1
Tell whether (-8,2) is a solution of -x-6y>12
Answers
Answer:
it ain't
Step-by-step explanation:
x = -8
y = 2
-(-8) - 2(6) > 12
8 - 12 > 12
-4 > 12
This is incorrect
How many distinct permutations can be made from the letters of the word
“INDEPENDENCE”?
if anyone could answer, thank you (^-^)
Answers
Answer:
360
Step-by-step explanation:
Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1
There are six different letters in INDEPENDENCE
Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is
[tex]^{6}C _{4}[/tex]
and making its arrangements
So total number of ways is
[tex]^{6}C _{4}[/tex] ×4!=360
The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200
We are given the word INDEPENDENCE and it has;
I − oneN - threeD − twoE - fourP - oneC - oneThus, we see that there are six different letters and 12 letters in total in INDEPENDENCE
Now from the question, the distinct permutations that can be formed is;
12!/(3! × 2! × 4!) = 1663200
Read more on permutations at; https://brainly.com/question/12468032
m(x) = 3x + 2
n(x) = 2x - 5
Find m(x) and n(x)
Write the composite function. Show your work.
Answers
N(x)=-2.5
Hope it help
What percent of 2/3 is 1/6? HELP!!!!! :(
Answers
Answer:
Look at the pictures
Step-by-step explanation:
Hope this helps
after 7 years, an initial investment of $600 earned $84. Find the interest rate
Answers
Answer:
2%
Step-by-step explanation:
Solving our equation
r = 84 / ( 600 × 7 ) = 0.02
r = 0.02
converting r decimal to a percentage
R = 0.02 * 100 = 2%/year
The interest rate required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
over 7 years is 2% per year.
8 less a number is less than or equal to 17
Answers
Answer:
less than
Step-by-step explanation:
8 is less than 17
Answer :n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
help me
i’ll give brainly i need 2 answers
Answers
Answer:
Step-by-step explanation:
15%(p)
Write a rational function for the given scenario. There may be more than one correct answer.
Question 1. X-intercept: none
Vertical Asymptote: X = -3
Horizontal Asymptote: y = 0
Question 2. X-intercept: none
Vertical Asymptote X=2 & x= -2
Horizontal Asymptote: y = 0
Question 3 x-intercept: (3,0) & (-3,0) Vertical Asymptote: X=-1 & x= -4
Horizontal Asymptote: y = 1
Question 4. X-intercept: (-2, 0)
Vertical Asymptote: X = 4 & x=-5 Horizontal Asymptote: y=0
Need to make a rational function for each question.
Answers
Answer:
Q1: [tex]\frac{1}{x+3}[/tex]
Q2: [tex]\frac{1}{(x-2)(x+2)}[/tex]
Q3: [tex]\frac{(x-3)(x+3)}{(x+1)(x+4)}[/tex]
Q4: [tex]\frac{x(x+2)}{(x-4)^{2}(x+5) }[/tex]
Step-by-step explanation:
If there is a vertical asymptote at x=k, then the denominator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is an x intercept at k, then the numerator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is a horizontal asymptote of 0, then the highest power of x in the denominator must exceed the highest power of x in the numerator.
If thee is a horizontal asymptote of k, then the highest power of x in the numerator and denominator must be the same and the ratio of their coefficients (numerator to denominator) must be k.
Which of the following has the same value as 4^4 x 4^-4
Answers
Answer:
its just 1
Step-by-step explanation:
literally that is the answer
It would be 4 x 4 times 4 x -4
x is the mutiplication sign btw
(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ
Answers
Answer:The guy above me is correct you can give him brainlest.
Have a great day!
Solve for xxx in each of the figures below and mark the correct value.
Assume that the lines are parallel.
Answers
Answer:
Picture 1:
12x+1=109
12x=108
x=9
Picture 2:
2x-3=57
2x=60
x=30
Let me know if this helps!
Desmond plays 30 minutes of soccer each day. How many seconds of soccer does Desmond play in 6 days?
Answers
Answer:Desmond will play for 10800 seconds in 6 days
Step-by-step explanation:
In a Day Desmond plays soccer = 30 minutes
In 6 days, he will play = 6 x 30 = 180 minutes
Changing 180 minutes to seconds
we know that 60 second s= 1 minutes
Therefore ?? seconds = 180 minutes
180 x 60 =10800 seconds
Which fraction would make this equation true? 4x ? = 6 2/3
Answers
A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute.
Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.
Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)
Answers
Answer:
A, C, D
Step-by-step explanation:
We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output
(A) 1*85-85
(B) 0.85*85 = 72.75
(C) 0.2*85 = 14
(D) 3.5*85 = 297.5
(E) 4* 85 = 340
A, C, and D match up
what is the unit rate if 65 miles in 2 ½ hour.
Answers
Answer:
26 miles per hour
Step-by-step explanation:
65/2.5=26
Answer:
26 is the unit rate
Step-by-step explanation:
2 1/2 is 2.5 so 65/2.5 is 26