Answer:
answer A is the correct option.
Step-by-step explanation:
The triangles ( A ) are congruent by AAS theorem
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔABD
Now , AB is the common side of both the triangles
And , measure of ∠ACB = measure of ∠ADB
And , the measure of ∠ABC = measure of ∠ABD = 90°
So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent
To learn more about congruent triangles click :
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what is solve 10<-2/3(9+12b)
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
Please helpppp quick
General admission to the fair is $8.00, and rides cost $3.00 each.
Answer:
$24.00
Step-by-step explanation:
8x3=24
5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.
Answer:
20 inches
Step-by-step explanation:
If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.
[tex]y=\frac{2}{5}x[/tex]
The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.
At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
if 5/7 of x is 5/21 then what's x?
[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A. The graph shows how much money Farrah has in her savings account after weeks of saving on a regular basis. How much money does Farrah have in her savings account after 10 weeks of saving?
Answer:
Step-by-step explanation:
wheres the graph
Answer:
How much money does priya have after 10 weeks? 320
How long did it take her to save 200? 5
How much did priya have in her savings account when she started to save regularly? 80
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE <3
Answer:
It's Micrograms. The rest are from the imperial system, which is the system that is commonly used in the United States. The metric system is an international system for scientists and mathematicians to use so that sharing and giving information is a lot easier when conveying to other people around the world.
Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x
Explanation:
The general template of a sine function is
y = Asin(B(x-C))+D
The value of B is the only thing that determines the period T. We ignore every other term.
It turns out that T = 2pi/B which can be solved to B = 2pi/T
Plug in the given period of T = 8pi and compute to get
B = 2pi/T
B = (2pi)/(8pi)
B = 2/8
B = 1/4
This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.
NEED HELP JUST SEND ME QUESTIONS
What is the volume of the box of snacks if the height is 7 inches?
(MUST BE DONE BY TOMORROW!)
Answer:
it's a
Step-by-step explanation:
the formula for volume is height×width×length
7×4×3=84
voila!
What is the greatest common factor of 12 and 18?
A. 2 B. 6 C. 4 D. 12
Answer:
B. 6
Step-by-step explanation:
D. 12 cant be multiplied to get 18
C. 4 cant be multiplied to get 18
A. 2 is a common factor of 12 and 18 but not the greatest.
B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.
Answer:
B
Step-by-step explanation:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The common ones are 1, 2, 3, and 6. The greatest one among these is 6.
Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.
niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answer:
Step-by-step explanation: here I am pretty sure it is 6
Does this table represent a linear or nonlinear function? x= 1, 2, 5 & y= 4, 7, 16
Answer:
linear
Step-by-step explanation:
The function is linear if the ratio of changes in y to changes in x is the same for any set of (x, y) pairs.
first two pairs: (y2 -y1)/(x2 -x1) = (7 -4)/(2 -1) = 3/1 = 3
second two pairs: (y3 -y2)/(x3 -x2) = (16 -7)/(5 -2) = 9/3 = 3
The slopes between points are the same for any pair of points, so they all lie on the same line. The function is linear.
of the negative number, and of the
16
6 The sum of a negative number,
negative number is – 13.2. What is the negative number?
Answer:
semoga jawabannya benar
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
Answer:
179.2
Step-by-step explanation:
166 = x + -13.2
166 - -13.2 = 166 + 13.2 = 179.2
Find the quotient: 0.12)78.6.
The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.
If there were 70 adult tickets sold, how many movie tickets were sold altogether?
Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154
What is the percent of decrease from 80 to 68?
Answer:
-15%.
Step-by-step explanation:
Subtract 68 by 80 to get -12.
Divide -12 by the absolute value of 80 to get -0.15.
Multiply 100 to -0.15 to get -15.
HALLPPP its worth 50 points
Rewrite the innermost expressions with negative exponents:
[tex]\displaystyle \left[\left(\frac{a^6}{5b^{-1}}\right)^2 \cdot \left(\frac{b}{9a^{-11}}\right)^{-1}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac{ba^{11}}{9}\right)^{-1}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\left(\frac{a^6b^1}{5}\right)^2 \cdot \left(\frac9{ba^{11}}\right)^1\right]^{-3}[/tex]
Simplify the product:
[tex]\displaystyle \implies \left[\left(\frac{a^6b}{5}\right)^2 \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{\left(a^6b\right)^2}{5^2} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{\left(a^6\right)^2b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{a^{12}b^2}{25} \cdot \frac9{ba^{11}}\right]^{-3}[/tex]
[tex]\displaystyle \implies \left[\frac{9ab}{25}\right]^{-3}[/tex]
Rewrite the last negative exponent:
[tex]\implies \boxed{\left(\frac{25}{9ab}\right)^3}[/tex]
write 6 out of 40 as a fraction a decimal and a percent
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
also read similar questions:
Subtract 8 feet from 9 yards, 1 foot.
7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot
Answer:
6 yards, 2 feet
Step-by-step explanation:
9yards and 1 ft - 8 feet= 6.66666667 yards
6.66666667 yards=6 yards, 2 feet
6 yards, 2 feet
hope it helps
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
whats -3u + 5 if u=2
Answer:
-1
Step-by-step explanation:
-3(2) = -6 + 5 = -1
Answer:
-1
Step-by-step explanation:
-3u + 5 =?
when u=2
= -3(2) + 5
= -6 + 5
= -1
What is the slope and y-intercept that represents this table?
Answer:
[tex]m=-2\ 000; q=17\ 000[/tex]
Step-by-step explanation:
First of all, whoever formatted that table is a criminal.
Now, slope first, it's the easiest: the slope in a table like that is the difference between two consecutive position: ie [tex]13\ 000 - 15\ 000[/tex] or [tex]11\ 000-13\ 000[/tex], being careful of subtracting the higher position (not value!) minus the lower, or right minus left. Your slope thus is [tex]-2 \ 000[/tex]. Intercept is found in two ways. One is writing the line in point slope form based on any two values and the slope we found, or since we're jumping integer to integer, you can look at the table in reverse and notice that if you go backwards (ie from 4 to 3 to 2 to 1) the value is increasing by 2000 every time. The intercept [tex]q[/tex]will be the value at 0, or 17 000
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Exact Form:
x
=
7
2
x
=
7
2
Decimal Form:
x
=
3.5
x
=
3.5
Mixed Number Form:
x
=
3
1
2
Answer:
X=3.5
Step-by-step explanation:
What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.
Hope it helped!
how do you convert a whole number to a fraction?
Answer:
Step-by-step explanation:
Example 1: Changing the whole number 5 into a fraction.
Take the whole number (5), add a line below it (/), then add a 1 to the denominator.
5 = 5/1
Example 2: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.
5 = (5*2)/2 = 10/2
***This can be reduced to 5/1***
Example 3: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.
5 = (5*3)/3 = 15/3
***This can also be reduced to 5/1***
If you follow the pattern, you will realize all whole numbers are fractions already.
They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.
A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.
I hope this helps.
Not graded help please