The option that correctly replaces the question mark in Aisha's proof is SAS (Option C). See it explained below.
Mathematical proofs are statements that are used to demonstrate that a mathematical expression or logic of true.
Since the portion of the question that shows the question mark is missing, we can rewrite the proof as follows:
Step 1
AB Dissects BC
AE ║ BD
Reason - It is given
Step 2
BC ≅ BE
Reason - Definition of Segment Bisector
Step 3
∠ABE ≅ ∠CBD
Step 4
∠BCD ≅ ∠BEA
Reason
Alternative Interior Angles
Step 5
ΔBCD ≅ ΔBEA
Reason
SAS Postulate
Step 6
QED
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7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number
Answer:
b o a h d
Step-by-step explanation:
1*5 3%9 46% &45 that is the answer
Ellis is going on a tour that costs $65 while on vacation. He was told to bring $118 to pay for the cost of the tour and dinner. Which of the following inequalities represents the money Ellis can spend on dinner?
A. $118 + d < $65
B. $118 + d > $65
C. $65 + d > $118
D. $65 + d < $118
Answer:
The answer should be D.
Find the missing angle
120 & 30
y = [???]
Answer:
z = 30
Step-by-step explanation:
All angles of a triangle add up to 180:
z + 120 + 30 = 180
z + 150 = 180
z = 180 - 150
z = 30
y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300
EASY POINTS Which of the following best describes DG?
Answer:
A. median
Step-by-step explanation:
the median is the middle of the shape :)
find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21
Answer:
for a) the next three would be 36, 49 and 64
for b) the next three would be 25, 36 and 49
for c) the next three would be 13, 16, and 19
for d) the next three would be 27, 33, and 39
Step-by-step explanation:
Answers:
(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39========================================================
Explanations:
(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39Find the slope of the line containing the pair of points.
(2, -9) and (12,6)
Answer:
slope = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )
m = [tex]\frac{6-(-9)}{12-2}[/tex] = [tex]\frac{6+9}{10}[/tex] = [tex]\frac{15}{10}[/tex] = [tex]\frac{3}{2}[/tex]
Situation:
Tina wants to save money for school.
Tina invests $400 in an account that
pays an interest rate of 8%.
A = P(1+r)¹
P= amount of money invested
r = interest rate percentage in decimal form
t = time in years
A = total money in the account at timet
How many years will it take for the account to
reach $5,500? Round your answer to the nearest
hundredth.
Enter the correct answer.
DONE
It will take 4 year for the account to reach $5,500.
How to find the amount?The formula we use to calculate the amount is
A = P(1+r)¹
Where, P= amount of money invested
r = interest rate percentage in decimal form
t = time in years
A = total money in the account at time
Tina wants to save money for school.
Tina invests $400 in an account that pays an interest rate of 8%.
A = P(1+r)¹
5500 = 400(( 1 + 0.08)^t
5500/ 400 = ( 1 + 0.08)^t
55/ 4 = (1.08)^t
13.75 = (1.08)^t
t = 4
It will take 4 year for the account to reach $5,500.
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A triangle has sides measuring 2 inches and 7 inches.If x represents the length in inches of the third side, which inequality gives the range of possible values for x?
Answer:
I would say A is the answer.
Is anyone able to solve this equation? It’s urgent
Answer:
1500
Step-by-step explanation:
You can find the complete solution in the given attachment
can you figure thus out?
A number is between 300 and 400. If it is divided by 2, the remainder is 1. If it is divided by 4, 6, or 8, the remainder is 3. If it is divided by 10, the remainder is 5. If it is divided by 3, 5, 7, or 9, the remainder is zero. What is the number?
Answer:
315
Step-by-step explanation:
The number is divisible by 3,5,7 and 9. Since 3 is a factor of 9, this number is divisible by 5,7, and 9.
5x7x9= 315.
Pls help. Answer the question in the picture. I will give 5 stars, a thanks, and brainliest!
*20 points*
Answer:
1/5x + 2
Step-by-step explanation:
hope this helps
What is 6 months to 5 years expressed as a ratio
Answer:
6:5
Step-by-step explanation:
What are the coordinates of point F?
Answer:
C. 4, -2 1/2
Step-by-step explanation:
(x,y)
its kinda easy
To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
How to determine the require investment to receive a desired monthly payment
According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:
g = C · (r/100) (1)
Where:
C - Invested money, in monetary units.r - Monthly interest rate, in percentage.g - Monthly payment, in monetary units.If we know that g = 1500 and r = 3.1/12, then the invested money must be:
C = 100 · g/r
C = 100 · [1500/(3.1/12)]
C = 580645.16
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
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From the diagram below, if
The possible values of x in the diagram are x = 25 and x = -1
How to determine the value of x?The given parameters are:
∠DAB = x² - 24x∠DAC = 25Both angles are congruent and adjacent angles.
So, we have:
∠DAB = ∠DAC
Substitute known values
x² - 24x = 25
Subtract 25 from both sides
x² - 24x - 25 = 0
Expand
x² + x - 25x - 25 = 0
Factorize
x(x + 1) - 25(x + 1) = 0
Factor out x + 1
(x - 25)(x + 1) = 0
Expand
x - 25 = 0 or x + 1 = 0
Solve for x
x = 25 or x = -1
Hence, the possible values of x are x = 25 and x = -1
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which axis shows the dependent varible
The axis on a graph that shows the dependent variable is the: vertical or y-axis.
What is the Dependent Variable?The dependent variable is the variable that is affected by an independent variable. That is, a change in the independent variable, causes the dependent variable to change.
On a graph, the dependent variable (outcome) is usually plotted on the y-axis (vertical axis).
Thus, the axis that shows the dependent variable is the vertical or y-axis.
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What’s the answer to the picture I took?
Answer:
y = - x
Step-by-step explanation:
From the given table:-
( x_1,x_2): (5,-5)
( y_1,y_2): (6,-6)
1) Let's find the slope (m):-
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]
2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)
[tex]y - ( - 5) = - 1(x - 5)[/tex]
[tex]y + 5 = - x + 5[/tex]
[tex]y = - x + 5 - 5[/tex]
[tex]y = - x[/tex]
how to Find the number of ways to distribute 5 bananas and 7 different books to 3 person
empty allowed
Answer:
In order for each child to receive a book, first distribute one book to each.
This can be done in [math] 5\times 4\times 3 = 60 [/math] ways.
The remaining two books can be distributed in [math] 3^2 [/math] ways.
Total number of ways[math] = 60 \ times 9 = 540 [/ math]
If a population consisted of 75,000 people surveying 75,000 people from the population could result in a parameter but not a point estimate. True or false?
[tex]-3/z+7/4z=5/z-25[/tex]
Answer:
z = 1/4
Step-by-step explanation:
See attached image
Answer:
z = 5
Step-by-step explanation:
simplify
5/(z-25) first
turning it into
((0 - 3/z) + 7/4z) - 5/(z - 25) = 0
then simplify 7/4z
((0 - 3/z) + 7/4z) - 5/(z-25) = 0
when the fractions denominator is 0 then the numerator must be 0
turning the equation into
-25 * (z - 5) = 0
solve
-25 = 0
something that is not zero cannot equal zero.
z - 5 = 0
5 - 5 = 0
z = 5
hope this helps:)
Ali takes a full-time position as a makeup artist in Atlanta. Her starting salary is $29,000. Her taxes are 28%. What is her net monthly income?
a. $2,416
b. $3,840
c. $2,088
d. $1,740
I couldn't find the answer to this question when I really needed it, so I did the work myself and got D as the answer. I ended up getting it right because you divide 29,000 by 12, then multiply the answer (2416) by 28%, which gives you the answer, D, 1740. Hope that helped!
Answer:
d. $1,740
Step-by-step explanation:
The annual after-tax salary is found by subtracting the tax from the salary. The tax is found by multiplying the tax rate by the salary. The monthly after-tax income is 1/12 of the annual after-tax income.
__
stepsannual tax = 0.28 × $29,000 = $8,120
annual take-home pay = $29,000 -8,120 = $20,880
monthly take-home pay = annual pay / months per year
= $20,880 / 12 = $1,740 . . . . net monthly income
_____
Additional comment
The net pay will be (1 - 0.28) = 0.72 times the nominal salary. The monthly pay will be 1/12 of the annual pay. These combined factors give a monthly net pay of (0.72)(1/12) = 0.06 times the annual pay.
0.06 × $29000 = 6×$290 = $1740
CAN SOMEONE PLEASE PLEASE HELP ME?? I’LL GIVE YOU FREE EASY POINTS AND IT’S ONLY 4 QUESTIONS. JUST MAKE SURE YOU GIVE THE RIGHT ANSWERS PLSS. THE PICTURE IS ABOVE IF ANYBODY NEEDS TO SEE IT!
Answer:
Step-by-step explanation:
1. To find f(0.5), substitute the x value in the function f(x) with 0.5
f(x) = 30x + 5
f(0.5) = 30*0.5 + 5
= 15 + 5
= 20
At 0.5 gigabytes of data used, the cost is $20
2) g(x) = 10x + 20
g(0.5) = 10*0.5 + 20
= 5 + 20
= 25
At 0.5 gigabytes of data used, the cost is $ 25.
3) f(x) = 50
30x + 5 = 50
Subtract 5 from both sides
30x = 50 - 5
30x = 45
Divide both sides by 30
x = 45/30
x = 1.5
If she chooses plan 'f', she could use 1.5 gigabytes.
g(x) = 50
10x + 20 = 50
10x =50- 20
10x = 30
x = 30/10
x = 3
If she chooses plan 'g', she could use 3 gigabytes.
4) Function 'g' would be better for a $50 monthly budget as she could get more gigabytes than function 'f'
Pls help me with number
Answer:
Total people = 240
Step-by-step explanation:
Let the total number of people by 'x'.
[tex]\sf \text{Number of men =$ \dfrac{1}{4}*x$} \\[/tex]
[tex]\sf \text{Number of women =$\dfrac{1}{3}x$}[/tex]
Number of children = 100
When we subtract the total number of men and women from the total people 'x', we get the number of children.
[tex]\sf x - \left(\dfrac{1}{4}x+\dfrac{1}{3}x\right)= 100\\\\x - \left(\dfrac{1*3}{4*3}x+\dfrac{1*4}{3*4}x\right)=100\\\\[/tex]
[tex]x- \dfrac{4+3}{12}x=100\\\\x - \dfrac{7}{12}x = 100\\\\ \dfrac{12}{12}x-\dfrac{7}{12}x = 100\\\\ \dfrac{5}{12}x=100\\[/tex]
[tex]\sf x = 100*\dfrac{12}{5}\\[/tex]
x = 20 * 12
x = 240
Total number of people = 240Which of the following functions is graphed below?
Answer:
A.
Step-by-step explanation:
the correct answer is A. y=|x-2|+3.
For more details see the attachment.
please I need the answer
Answer:
The answer is c
Step-by-step explanation:
one add the numbers 108 & 96=204
then add the numbers from c which is 30+30=60 43+43=86 29+29=58
then add 60+86+58 which will be 204 so c is the answer your welcome
come
how to Solve for x. -1/2 (x + 2) + 1 1/2 x = 3
Felix chose 3 integers between -10 and 10 at random. He chose the three integers listed below.
-1, 8, 4
Which integer does Felix need to choose next so that the product of all
four numbers chosen is 64?
[A] 2
[B] -2
[C] -1
[D] 4
Answer: -2
Step-by-step explanation: The answer is -2 because -1 x 8 = -8, and -8 x 4 = -32. Because multiplying two negatives cancels out and becomes positive, we can apply this same principle and figure out that -32 x -2 would give us positive 64. Hope this helps!
pls help me with this problem :)
The areas of two similar triangles are 9 cm² and 49 cm². One of the sides of the first
triangle is 2 cm. What is the length of the corresponding side of the other triangle?
Answer:
I believe it should be rounded to 11, if not decimal would be 10.88
Step-by-step explanation:
49 divided by 9 equals 5.44 which is the amount times the 49cm^2 triangle is compared to the 9cm^2. So then the side is 2cm, multiply by the amount times bigger the other triangle is which would be 10.88. Hopefully I'm not wrong:)
Answer:
The answer is 4 and 2/3 cm²
Step-by-step explanation:
Take the square root of 49 and 9 and you'll get 7 and 3 since the scale factor is the large area over the small area.
The large area would be √49 cm²
The small area would be √9 cm²
7 x cm
------ = ----------, cross multiply
3 2 cm
7 × 2 = 3 × x
14 = 3x
x = 14/3, x = 4 and 2/3
Which statement best compares savings accounts and money market accounts?
OA. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a lower interest rate.
OB. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a higher interest rate.
C. A money market account has fewer restrictions on withdrawals than a regular savings account
but at a lower interest rate.
OD. A money market account allows for more withdrawals than a regular savings account but at a
higher interest rate.
Answer:
Its Option C.
Step-by-step explanation:
I took this quiz and got this correct, atleast I think...??