Answer:
AC = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = 4
BD = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = [tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Since all of these are isosceles triangles, it means both legs of every triangle are congruent to each other. So,
Given: AB = 2
Find:
AC = AB = 2
BC = [tex]2\sqrt{2}[/tex]
CD = 4
CF = CD = 4
BD = BC = [tex]2\sqrt{2}[/tex]
DE = 8
EF = [tex]4\sqrt{2}[/tex]
DF = EF = [tex]4\sqrt{2}[/tex]
Ralph and Jody go to the shop to buy potato chips and candy bars.
Ralph buys 3 bags of potato chips and 4 candy bars. He spends
Jody buys 4 bags of potato chips and 2 candy bars. She spends $3.00.
Later Clancy joins Ralph and Jody and asks to buy one bag of potato chips and one candy bar from
them. They need to work out how much he should pay.
Ralph writes
3p+ 4b = 375
1. If p stands for the cost, in cents, of a bag of potato chips and b stands for the cost, in cents, of a
candy bar, what does the 375 in Ralph's equation mean?
Answer:
375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars
Bag of potato = 45 cent
Candy = 60 cents
Step-by-step explanation:
375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars
3p + 4b = 375 - - (1)
4p + 2b = 300 ---(2)
From (2)
4p = 300 - 2b
p = 75 - 0.5b
Put b = 75 - 0.5b
3(75 - 0.5b) + 4b = 375
225 - 1.5b + 4b = 375
225 + 2.5b = 375
2.5b = 375 - 225
2.5b = 150
b = 150 / 2.5
b = 60
3p + 4(60) = 375
3p + 240 = 375
3p = 375 - 240
3p = 135
p = 45
Bag of potato = 45 cent
Candy = 60 cents
Sort the data from least to greatest.
276 363 311 253
Find the median number of calls.
Answer:
253,276,311,363 293.5 is the mdien.
Step-by-step explanation:
Answer:
293.5
Step-by-step explanation:
Least to greatest: 253, 276, 311, 363
Median = middle
If there are two middle numbers find the mean of the two numbers.
276 + 311 = 587
587/2 = 293.5
Hope this helps!! Have a great day and remember, you are loved.
A car priced at $ 60000 is sold for $57000. Find the percentage discount.
answeerrrr quick pls trest is going on pls pls
If you have supplementary angles and one of the angles is 123°, what is the other angle?
Answer:
57 degrees.
Step-by-step explanation:
180 - 123 = 57.
Answer:
im pretty sure its 57
Step-by-step explanation:
Also love your profile picture
Five years from now, a father's age will be tree times his son's age, and 5 years ago, he was seven times as old as his son was. What are their present age?
Answer:
The answer is "10 and 40".
Step-by-step explanation:
[tex]\to f + 5 = 3(s + 5) = 3s + 15\\\\\to f - 5 = 7(s - 5) = 7s - 35\\\\[/tex]
Subtracting the equations to get
[tex]\to 10 = -4s + 50\\\\\to -40 = -4s\\\\\to s = \frac{40}{4} \\\\\to s=10\\\\\to f = 40\\\\[/tex]
So the Son age is 10, and the father's age is 40.
Which two numbers round to 480,000 when rounded to the nearest ten thousand?
Answer:a and b
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Remember: 5 or more-> Rounds up, Less than 5-> Rounds down
A. Incorrect, would round down to 470,000 due to it being 472 in the thousands place
B. Correct, would round up to 480,000 due to it being 476 in the thousands place
C. Correct, would round down to 480,000 due to it being 482 in the thousands place
D. Incorrect, would round up to 490,000 due to it being 485 in the thousands place
E. Incorrect, would round up to 490,000 due to it being 487 in the thousands place
Hope it helped! (:
7. Find f(9) when f(x) = 12 (17 – 3x) *
Answer:
-120
Step-by-step explanation:
Sofia orders a drink at a coffee shop. She can order water (W), coffee (C), or tea (U). If she orders coffee or tea, she can have milk (M), sugar
(S), both (B) or neither (N) added to her drink.
Which list shows all the possible drink orders Sofia can make?
O AW.CT
B. W. CT, M, S, BN
O c W. CTM, TS, TB, TN
O D. W, CM, CS, CB, CN, T
O EW, CM, CS, CB, CN,TM, TS, TB, TN
Answer:
c
Step-by-step explanation:
Given: Circle k(O), diameter US , m RU=50°, m UT=30° Find: m∠RUS, m∠UST
**WILL GIVE BRANLIEST**
Applying the inscribed angle theorem, the missing angles are:
m∠RUS = 65°m∠UST = 15°What is the Inscribed Angles Theorem?Based on the inscribed angle theorem, we have the following relationships:
Inscribed angle = 1/2(measure of intercepted arc)Central angle = measure of intercepted arc.Given the following:
m(RU) = 50°m(UT) = 30°Find m(RS):
m(RS) = 180 - m(RU)
Substitute
m(RS) = 180 - 50
m(RS) = 130°
Find m∠RUS:
m∠RUS = 1/2(m(RS) [inscribed angle theorem]
Substitute
m∠RUS = 1/2(130)
m∠RUS = 65°
Find m∠UST:
m∠UST = 1/2(m(UT))
Substitute
m∠UST = 1/2(30)
m∠UST = 15°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Which is NOT a solution to the inequality below? 3x + 13≥ -8
x≥−7. hope this helps you good luck
Can someone please help on this question
Answer:
area = 147.03 cm²
Step-by-step explanation:
area =16.9 x 8.7 = 147.03 cm²
Answer:
147.03cm
Step-by-step explanation:
A parallelogram is just a tilted rectangle, so it uses the same formula, base times height.
This would be 8.7 × 16.9
87 × 169 = 14703
move the decimal to get
8.7 × 16.9 = 147.03
the area of the shape is 147.03 cm, don't forget the cm sign!
good luck my friend :D
-cheesetoasty
Make q the subject of the formula p = 2q2 .
Answer:
q = ± [tex]\sqrt{\frac{p}{2} }[/tex]
Step-by-step explanation:
Given
p = 2q² ( divide both sides by 2 )
[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )
± [tex]\frac{p}{2}[/tex] = q
Answer:
q = +√p/2
Step-by-step explanation:
p = 2q²
divide both sides by 2 and root we get,
√p/2 = √2q²/2
√p/2 = q
q = +√p/2
Thus, q = +√p/2
-TheUnknownScientist
Please help.... Jason saves $12 each week. What expression represents the total money he saved after y weeks.
a. 12 + y
b. y/12
c. y × 12
d. 12 - y
plzzzz help ASAP! Due in 5 mins
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x – 8). What is the slope-intercept form of the equation for this line?
y = y equals StartFraction one-fourth EndFraction x minus 12.x – 12
y = y equals StartFraction one-fourth EndFraction x minus 4.x – 4
y = y equals StartFraction one-fourth EndFraction x plus 2.x + 2
y = y equals StartFraction one-fourth EndFraction x plus 6.x + 6
Answer:
(just took the test)
Answers for entire quiz on EDGE for "Writing Linear Equations":
C. y = 1/4x+2
A. y=12x+8
C. y=x+2
B. c(x) = 6x + 3
A. k – 2 = 1/9(t – 18)
A. y=-5/8x+6
C. 5
A. y = x + 3
C. 2x + 5y = –15
B. y + 13 = 5(x + 2)
hope this helps y'all!
The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex]
What is slope ?slope, Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).The equation of a line that passes through points (8, 4) and (0, 2) is .
The equation of the line in Slope-Intercept form is:
y = mx + b ( m - slope)
The equation of the line slope intercept is-
[tex]y - 4 = \frac{1}{4} ( x -8)\\y - 4 = \frac{1}{4} x - \frac{8}{4} \\y - 4 = \frac{1}{4} x - 2\\y = \frac{1}{4} - 2 + 4\\y = \frac{1}{4} x + 2\\[/tex]...................(1)
Now compare equation 1 from y = mx + b
So, m = 1/4 & b = 2
Therefore, The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex] .
Learn more about slope brainly.com/question/12109165
#SPJ2
What is the average of 105 and 147
Answer:
126
Step-by-step explanation:
PLS HELP ME ITS MATH PLSSSS
25 points if u help I’ll send 40 moreeee
Answer:
x= 45
I hope it's helps you
can someone help with this please????
Given:
The given function is:
[tex]f(x)=11x-11[/tex]
To find:
The value of [tex](f\circ f^{-1})(-11)[/tex].
Solution:
We have,
[tex]f(x)=11x-11[/tex]
First we have to find the inverse of this function.
Putting f(x)=y, we get
[tex]y=11x-11[/tex]
Interchange x and y.
[tex]x=11y-11[/tex]
Isolate the variable y.
[tex]x+11=11y[/tex]
[tex]\dfrac{x+11}{11}=y[/tex]
[tex]y=\dfrac{x+11}{11}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]
Now,
[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex] [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]
[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]
The given function is [tex]f(x)=11x-11[/tex].
[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]
[tex](f\circ f^{-1})(-11)=-11[/tex]
Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.
How to find the point of intersections on these equations? (x+6)^2 =-12 (y+2) x^2/81 + y^2/100 =1
Answer:
Graphically.
Step-by-step explanation:
We have the equations:
(x + 6)^2 = -12*(y + 2)
(x^2/81) + (y^2/100) = 1
First, we can see that the second one is an ellipse, and we can write it as:
(x/9)^2 + (y/10)^2 = 1
This adds some complexity to our problem.
The first equation is just a quadratic equation, that we can write in standard form as:
y = (x^2 + 12*x + 36)/(-12) - 2
y = (-1/12)*x^2 - x - 5
Then our two equations are:
(x/9)^2 + (y/10)^2 = 1
y = (-1/12)*x^2 - x - 5
This is actually really hard to solve analytically, we may end with a quartic equation or something like that (this happens for the nature of the ellipse equation)
So now that we have two rather simple equations that we know how to graph (or that we can just input the equations in a program and graph them) we can find the intersections visually.
You can see the graph of this below:
Of course, this only works to find estimations for the intersections, where one intersection is (3.35, -9.28) and the other is at (-8.69, -2.6)
CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT
Answer:
(2, 8) and (3, 11) --- > For example
Step-by-step explanation:
Plug in any number for x
I will use 2.
So if the equation is y = 3x + 2, then the new equation will be ...
y = 3(2) + 2
y = 6 + 2
y = 8 ----> One coordinate can be (2, 8)
Another number you could use is 3.
y = 3(3) + 2
y = 9 + 2
y = 11 ----> Another coordinate may be (3, 11)
what is 3 2/4 as a whole number
Answer:
4Step-by-step explanation:
3 2/4 = 3.5If rounded up,
3.5 ≈ 4 as a whole numberSerenity has d d dimes and q q quarters. She has at most 16 coins altogether. Write this situation as an inequality.
Answer:
Step-by-step explanation:
d+q ≤ 16
She can have 16 or less than 16 coins (dimes and quarters) but no more than 16 coins
0.1d +.25 (10) = 12.5 what is d
Answer:
d = 100
Step-by-step explanation:
0.1d + 0.25(10) = 12.5
0.1d + 2.5 = 12.5
0.1d + 2.5 - 2.5 = 12.5 - 2.5
0.1d = 10
0.1d × 10 = 10 × 10
d = 100
If you know the answer please help
Find the missing side of the angle.
Need help,==== thank you!!
Answer: square root(265)
Step-by-step explanation:
Again, you can solve this via the Pythagorean theorem(a^2+b^2=c^2)
a= a side
b= another side
c= hypotenuse
Now, Substitute
12^2+11^2=x^2
144+121= 265
Now, square root and you get
square root(265)
Giving brainlist to who ever answers this
Answer:
N=47.3
Step-by-step explanation:
hope it helps.I have minused90 because that is a 90 degree angle
In a sale, the normal price of a book is reduced by 20%.
The sale price of the book is £4.80
Work out the normal price of the book
Answer:
5.76
Step-by-step explanation:
4.80×.20=0.96
4.80+0.96=5.76
Help!!!! Asappppppppp
Answer:
it is D
Step-by-step explanation:
Write the quotient as a mixed number. 15 ÷ 7 = 2 R1
Answer:
hi! the mixed number would be [tex]2\frac{1}{7}[/tex]
Step-by-step explanation:
a remainder can be written as 1/the divisor