Answers
Answer:
Hey there!
FGH is congruent to FHJ because of the ASA postulate, stating that in congruent triangles, two angles and one side must be congruent.
Hope this helps :)
Related Questions
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answers
Answer:
A. (-8, 20)
Step-by-step explanation:
The formula for dilations is
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor
The first step is to plug in the numbers appropriately
[tex](-2*4,5*4)[/tex]
Then, multiply -2 by 4 and 5 by 4 to get
[tex](-8, 20)[/tex]
So your answer is (-8, 20)
Hope this helps
Have a great day! :)
Three students used factoring to solve a quadratic equation? The equation was solve correctly by ______.The solutions of the equation are__________.
Answers
Answer:Keith
x=5,x=12
Step-by-step explanation:
Answer:
the answers are keith and -5,-12
Step-by-step explanation:
I just took the test and got a 5/5 the other person is incorrect.
To decrease a number by 40%, what do we multiply by???
Answers
Answer:
Step-by-step explanation:
to decrease a number by 40% i would do
100% = number you got
50% divide by 2
10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%
then take the 40% away from the 100%
hope this helps :)
What is the approximate perimeter of the figure?
Answers
Answer:
7.1 inches
Step-by-step explanation:
perimeter you go round from apointof your choice so
add 2+2=4
then apply 1/4πd for the round part
d=4 and it's quarter a circle then add them together
Answer:
7.1 inches
Step-by-step explanation:
To find the perimeter of the circle you would need to follow the formula: 2piR. Since r=2, 2*2=4. So 4 multiplied by pi (3.14 or 22/7). Since this is a quarter of a circle you would divide the answer 12.56 by four which equals 3.14. Now just add the extra two 2s left on the flat sides of the figure which ends up with your answer of 7.14 OR 7.1.
Hope this helps!! <3
Ms. delilio borrowed 1,200 from a bank for 3 months at 12% annual interest. How much interest did she pay?
Answers
Answer: $36
Step-by-step explanation:
When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
Principal (P) is the borrowed amount.
Interest Rate (r) is the percent of the principal to be paid.
Time (t) is the length of time that money is borrowed.
If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:
First, we have to convert 3 months into years
3 months = 3/12 =0.25 years
Then, find the interest by using the formula
Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)
In this example
P = $1200
I = 12%
t = 0.25 years
Then:
I = 1200 × 0.12 × 0.25
I = 36
Answer: $36
Step-by-step explanation:
3/12x1200x0.12=36
SIMPLE INTEREST FORMULA
TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR
DIVIDE BY 100 FOR INTEREST SHOWN
AND MULTIPLY TO SOLVE
I am stuck pls I need help
Answers
Answer:
HF is 20 m away from the tower which makes it the base of a triangle
tan 30= opp/adj=PF/HF
PF=tan 30°(20)=11.547
tan 50=T F/20 ⇒ T F=20*tan 50= 23.835
PT= T F-PF= 23.835-11.547=12.288 m
b ) the distance from point H to the power is the hypotenuse
cos 50=adj/hyp
hypo(HT)= 20/cos 50=31.114
(HF at a new angle=40)
tan 40=opp/adj = T F/HF
HF=T F/tan40=23.835/tan 40=28.405
y=4/3x-3 4x-6y=10 system of equations using substitution
Answers
Answer:
Point form (2, -1/3 Equation form: x=2, y= -1/3
Step-by-step explanation:
Combine 4/3 and x
Replace all occurrences of y in 4x−6y=10 with 4x/3 -3
Simplify 4x− 6 (4x/3 -3)
Solve for x in the second equation.
Simplify
4(2) /3−3
£1 = 1.18 euros How many pounds will lisa have to exchange to get 300.90 euros. (please answer!)
Answers
Answer:
255 pounds.
Step-by-step explanation:
We can set up a proportion.
1 pound / 1.18 euros = x pounds / 300.9 euros
1.18 * x = 1 * 300.9
1.18x = 300.9
x = 255
255 pounds.
Hope this helps!
Answer:
300.90 € = £ 255
Step-by-step explanation:
£ 1 = 1.18 €
So,
1 € = £ 1/1.18
=> 1 € = £ 0.847
Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros
=> 300.90 € = £ 0.847 * 300.90
=> 300.90 € = £ 255
solve systems by substitution method x + y = 12 3x - y = 20
Answers
Step-by-step explanation:
x+y=12
3×+y=20
×=12-y
3 (12-y)+y=20
36-3y+y=20
36-4y=20
-4y=20-36
-4y= -16
y =16÷4
y=4
×+y=12
×+4=12
×=12-4
×=8
therefoer;y=4,x=8
In a newspaper, it was reported that yearly robberies in Springfield were down 10% to 90 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answers
Answer:
100.
Step-by-step explanation:
Let the number of robberies be x ( in 2013).
Then x - 0.10x = 90
0.90x = 90
x = 90 / 0.90
= 100.
Simplify: 42x^7-(-11x^7)
Answers
Answer: 53x^7
Step-by-step explanation:
Subtracting a negative is like adding.
Since two negatives equal a positive 42 +11 = 53, so just add the exponent back which would be 53x^7.
how to convert 0.16 to fraction
Answers
4/25
Step-by-step explanation:
16/100, 8/50, 4/25
I need help with this please answer
Answers
Answer:
B. [tex]1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]
[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]
[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7
8/7=[tex]1\frac{1}{7}[/tex]
Hope this helped!!!
A circle has a radius of 8cm use the value 3.1 for π to calculate the area of a sector of the circle if the angle at the center is 150°
Answers
Answer:
[tex]8\frac23\ cm^2[/tex]
Step-by-step explanation:
sector of the circle if the angle at the center is 150° means [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius
area of a circle of given radius R is: πR²
so area of given sector:
[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]
The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
What is a circle?
A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -
x² + y² = r² (for circle centered at origin)
Given is a circle has a radius of 8 cm.
The area of the sector subtending the angle 150° at center is -
A = (150/360) x 3.1 x 8 x 8
A = 82.67 square centimeter.
Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.
To solve more questions on circles, visit the link below-
https://brainly.com/question/17006280
#SPJ5
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
Option C
Step-by-step explanation:
=> [tex]729x^6+y^6[/tex]
=> [tex](9x^2)^3+(y^2)^3[/tex]
Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]
=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]
=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]
So, these are the two factors of the expression!
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two red cards in succession from a standard deck of 52 cards without replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Answers
Answer:
E=$19.307
Step-by-step explanation:
Total number of cards = 52
If you win then you will get $50
If you lose then you will give him $20
Therefore the probability
[tex]P(first\ card\ is\ face\ card)=\dfrac{12}{52}[/tex]
[tex]P(Second\ card\ is\ face\ card)=\dfrac{11}{51}[/tex]
[tex]P(Third\ card\ is\ face\ card)=\dfrac{10}{50}[/tex]
Thus the probability for all the three cards are face card
[tex]P=\dfrac{12}{52}\times \dfrac{11}{51}\times \dfrac{10}{50}[/tex]
P=0.0099
Thus the probability for all the three cards are not face card
P=1-0.0099=0.9901
P=0.9901
Therefore , expected value
[tex]E=20\times 0.9901-50\times 0.0099[/tex]
E=$19.307
Therefore the answer will be $19.307.
What is the standard form of the equation for this circle?
A (x-1)2-(y + 10)² + 4 = 0
B. (x - 1)2 - +10)2 = 2
c. (x + 1)2 + (y- 1072 = 4
D. (x-1)2-(y + 10)² =
Answers
Answer:
(x + 1)² + (y - 10)² = 4
Step-by-step explanation:
Standard form of the equation of a circle is given by,
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and 'r' is the radius.
In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.
By substituting these values in the formula,
(x + 1)² + (y - 10)² = 2²
(x + 1)² + (y - 10)² = 4
Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4
Help me please with kim!
Answers
Answer: Kim - Resp after 24 months = $4,416.00
Kim - Technology Fund after 24 months = $1,120.06
Kim's Technology Fund has enough money to buy a laptop.
Kim's Savings (Resp) will last less than 6 months
Step-by-step explanation for Kim:
January - June 2019
$14.50 + 30($0.25) = $22.00/hr
$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income
Resp (15%): $7920(0.15) = $1188CPP(5%): $7920(0.05) = $396EI(2%): $7920(0.02) = $158.40Taxable Income is $7920 - $1188 = $6732 (Annual Income $13,464)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($6732-$4500)(0.08) = $178.56→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income
Tech Fund (5%): $5999.04(0.05) = $299.95
Food Expense (30%): $5999.04(0.3) = $1,799.71
Clothing Expense (30%): $5999.04(0.3) = $1,799.71
Entertainment Expense (25%): $5999.04(0.25) = $1,499.76
Miscellaneous Expense (10%): $5999.04(0.1) = $599.90
Other Expenses: $5,699.08
July - December 2019 (excluding August)
$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income
Resp (15%): $6800(0.15) = $1020CPP(5%): $6800(0.05) = $340EI(2%): $6800(0.02) = $136Taxable Income is $6800 - $1020 = $5780 (Annual Income $12,512)
Income Tax (0% for 0-9,000 Annual): $4500(0) = $0Income Tax (8% for 9-25,000 Annual): ($5780-$4500)(0.08) = $102.40→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income
Tech Fund (5%): $5201.60(0.05) = $260.08
Food Expense (30%): $5201.60(0.3) = $1,560.48
Clothing Expense (30%): $5201.60(0.3) = $1,560.48
Entertainment Expense (25%): $5201.60(0.25) = $1,300.40
Miscellaneous Expense (10%): $5201.60(0.1) = $520.16
Other Expenses: $4,941.52
January - June 2020
same as January - June 2019
July - December 2020 (excluding August)
same as July - December 2019
[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]
For the example shown, Jesse said “The total monthly cost of using the ceiling light and the dishwasher was $0.74.” Is Jesse correct? Explain.
Answers
Answer:
what do u mean
Answer: FLOOR GANG OOOH
Step-by-step explanation:
can someone help me please
Answers
Answer:
-3x
Step-by-step explanation:
-3 is the coefficient and x is the variable.
which is the equation of a line that passes through the point (3,2) and is parallel to the line in the graph?
Answers
Answer:
A. 3x - 2y = 5
Step-by-step explanation:
Given line in the graph has the following properties:
using point (2,3)
m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2
New line passes through y0(3,2), so use the point-slope form
(y-y0) = m (x-x0)
substitute in value y0(3,2)
y - 2 = (3/2) (x - 3)
multiply by 2 on each side
2y - 4 = 3x - 9
simplify and rearrange
3x - 2y = -4 + 9 =5
3x - 2y = 5
AABC Is dilated by a scale factor of 3 with the origin as the center of dilation to form AA' BC. The slope of AB is -1.2. The length of AB is
p units, the length of AC is qunits, and the length of BC is runits.
The slope of A' B' is The length of A'C' is
units.
Answers
Answer:
The slope of new figure A'B'C' = -1.2
A'B' = 3p units
A'C' = 3q units
Step-by-step explanation:
The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.
scale factor = 3
Length of AB = p units
the length of AC = qunits
the length of BC = runits
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
slope of new figure = slope of previous figure
The slope remains the same = -1.2
The slope of the new figure is mathematically given as
dS=1.2
What is the slope of the new figure?Question Parameter(s):
The slope of AB is -1.2.
The length of AB is punits
The length of AC is qunits
The length of BC is runits.
Generally, the lengths of the new region are mathematically given as
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
In conclusion, with the new region consistent in its increase across all regions the slope will remain
dS=1.2
Read more about Arithmetic
https://brainly.com/question/22568180
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answers
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
One fifth of the square of a number
Answers
Answer:
The statement, one fifth of the square of a number is written as
[tex] \frac{1}{5} {x}^{2} [/tex]
Hope this helps you
The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answers
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
HELP
Kevin has $25 in his checking
account. If Kevin has $2.20
less than 4 times the amount
that Molly has in her
account, what is the
amount of money in
Molly's account?
Answers
Answer:
$6.8
Step-by-step explanation:
Let x be the amount of money in Molly's amount
according to question,
4x-25=2.20
4x=2.20+25
4x=27.20
x=27.20/4
x=6.8
So,the amount of money in Molly's amont is $6.8
Answer: $6.80
Step-by-step explanation:
We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.
25 = 4m -2.20 solve for m.
+2.20 +2.20
27.20 = 4m
m= 6.8
4(6.8) = 27.20 - 25 = 2.20
What is the range of the function?
Answers
***HOPE This Help You***
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[tex]Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[/tex]
Answers
Answer:
Step-by-step explanation:
common denominator
[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]
Add with common denominator
[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]
[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]
[tex]=2* (\sqrt2)[/tex]
Please give me the correct answer
Answers
Answer:
e=9.14
Step-by-step explanation:
e²=a²+b²-2abcosФ
e²=36+25-2(30)cos112
e=√36+25-2(30)cos112
e=9.14
I will give brainliest pls i need help
Which phrase describes the algebraic expression 3 x minus 4?
the sum of three times a number and four
four less than three times a number
the quotient of three times a number less four
the difference between four and three
Answers
Answer:
The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!
Step-by-step explanation:
Answer:
b
Step-by-step explanation: