Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the other, and he finds that the image of vertex D is vertex L, the image of vertex V is vertex C, and the image of vertex W is vertex Y. In how many different ways can David write a congruence statement for the triangles? Complete the explanation.
Use the given information to select congruence statements.
△DVW ≅ △
△DWV ≅ △
△VDW ≅ △
△VWD ≅ △
△WDV ≅ △
△WVD ≅ △
There are __ more ways with the order of the triangles reversed. There is a total of __ ways to write a congruence statement.
Transformation involves changing the position of a shape.
The complete statement is:
There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.
From the question, we understand that:
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
This mean that, the following 6 statements can be used as the congruent statements
[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]
[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]
[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]
[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]
[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]
[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]
A triangle has 3 sides, and there are 2 triangles in the question.
The number (n) of congruence statements is:
[tex]\mathbf{n = 3^2 = 9}[/tex]
The remaining (r) number of congruent statement is:
[tex]\mathbf{r = 9 - 6 = 3}[/tex]
So, the blanks should be completed with 3 and 9
Read more about congruent triangles at:
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Davonte has a yearly gym membership. His yearly
membership fee is $25 plus he must pay $3 each
time he goes to the gym. Last year, Davonte payed
$250 for his gym access. How many times did he
go to the gym?
Answer:
sorry I don't know about it
Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.
what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!
Answer:
you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books
[tex]\sf x-12=14[/tex]
what is the circumference of a circle with an area of 20 pi
Answer:
28.1 units
Step-by-step explanation:
Area of circle= πr², where r is the radius.
Given that the area is 20π,
20π= πr²
Divide both sides by π:
20= r²
Square root both sides:
[tex]r = \sqrt{20} [/tex]
[tex]r = \sqrt{4(5)} [/tex]
[tex]r = ( \sqrt{4} )( \sqrt{5} )[/tex]
[tex]r = 2 \sqrt{5} [/tex]
Circumference of circle= 2πr
Substitute the value of r:
Circumference of the circle
[tex] = 2(\pi)( 2\sqrt{5} )[/tex]
[tex] = 4\pi \sqrt{5} [/tex]
= 28.1 units (3 s.f.)
How many times does the graph y = (x + 3)2 touch the x-axis?
x
Answer:
one
Step-by-step explanation:
y = (x + 3)^2
Start with the parent function y = x^2.
y = x^2 touches the x-axis at only 1 point, (0, 0).
The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.
Answer: one
Answer:
Step-by-step explanation:
To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:
y = (x + 3)^2 = 0
Taking the square root of both sides, we get x + 3 = ±0, or x = -3. As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}. Thus in theory, the graph touches the x-axis in two places, but these two places are identical: (-3, 0)
Multiply 6 times two-ninths.
After multiplying, the numerator is ?
After multiplying, the denominator is ?
Answer:
numerator - 4
denominator - 3
Step-by-step explanation:
6 × 2/9
12/9
4/3
Can someone help me on this I’m struggling a lot
A) 2/16
B) 5/8
C) 6/8
D) 1/3
Answer:
B) 5/8
Step-by-step explanation:
Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.
So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:
1/2 * 4 = 4/8
Now, we can add the amounts of the total granola bar that he consumed:
4/8 + 1/8 = 5/8
Because 5/8 cannot be simplified any further, that is our final answer.
Hope this helps :)
Which table was created using the equation y=5x-4
What is the value of b? 3 –3 6,561
Answer:
x=8. Explanation: Factor of 6561 are. 6561=3×3×3×3×3×3×3×3=38. As such, 3x=6561 can be written as 3x=38. Hence, x=8. Step-by-step explanation:
Answer:
The value of b is 3
then B - (n4 – 3)(n4 + 3)
Step-by-step explanation:
Find the value of c-6 when c = 12
Answer:
6
Step-by-step explanation: You subtract 12-6
I need help asap please
Answer:
[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]
Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?
simplify
please anyone solve this please
Answer:
= a²-b²/a²b+ab²-a²b-ab²/a²b² =√√727+=% = infinite
Step-by-step explanation:
I'm not sure if this correct but hope it helps
Answer:
1
Step-by-step explanation:
This is the solution to your question . Hope it helps you !!
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
Answer:
42 = 2*3*7
Step-by-step explanation:
42 can be rewritten as 2*21, for example.
2 is prime. 21 = 3*7.
Then 42 = 2 * 21 is also equal to:
42 = 2*3*7. where these factors are ordered from least to greatest. The prime factors of 42 are {2, 3, 7}.
. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?
Answer:
330 day passes, 367 tournament passes
Step-by-step explanation:
The number of day passes sold is 330, while the number of tournament passes sold is 367.
What is a System of equations?A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.
Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.
Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.
y = x + 37
Also, The number of tournament passes sold was 37 more than the number of days passes sold.
20x + 30y = 17610
20x + 30(x + 37) = 17610
20x + 30(x+ 37) = 17610
20x + 30x + 1110 = 17610
50x = 16,500
x = 16,500 / 50
x = 330
y = x + 37
y = 330 + 37
y = 367
Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.
Learn more about the System of equations here:
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solve the mystery. it is between 25 and 40.the sum of the digit is 8.the mystery number is not 26
Answer:
35
Step-by-step explanation:
Numbers that add up to 8 and number combinations
0 and 8: 80, 08
1 and 7: 17, 71
2 and 6: 26, 62
3 and 5: 35, 53
4 and 4: 44
Since the number must be between 25 and 40, the only possible numbers are 26 and 35
Since 26 is not the answer, the number is 35
How do I calculate (⅔)³×(4/9)⁴ with powers properties?
Notice that
4/9 = 2²/3² = (2/3)²
so that
(2/3)³ (4/9)⁴ = (2/3)³ ((2/3)²)⁴
… = (2/3)³ (2/3)⁸
… = (2/3)¹¹
PLEASE HELP!!
Which of the following is a complex number?
Answer:
A
Step-by-step explanation:
not sure if it is correct
p + 7 /8 = 18/ 12 what does p equal
Answer:
P = 5/8 or 15/24
Step-by-step explanation:
p = 18/12 - 7/8
p = 36/24 - 21/24
p = 15/24 ( Simplify )
p = 5/8
Answer:
Step-by-step explanation:
[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]
[tex]p=\dfrac{5}{8}[/tex]
From a circular sheet of radius 18cm , two circles of radii 4.5cm and a rectangle of length 4cm and breadth 1cm are removed; find the area of the remaining sheet.
Answer: 14 cm
Step-by-step explanation:
Answer:
R=14 cm
total area= πr²
=22/7*196=616 cm²
r2= 3.5 cm
area of the small circles= 2*πr²=2*12.25*22/7=77 cm²
length of rectangle=3
breadth=1
area =lb=3 cm²
area of the small circles+area of rectangle=77+3=80 cm²
remaining area=616-80=536 cm²
ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PS: Only answer #8
Answer:
Sequence 1: Translate 5 units to the right, and 5 units down
Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right
Step-by-step explanation:
Chose 1 point to focus in, such as (-1, 1)
Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?
Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)
So you originally have: (-1,1) -> (1, -1)
Now move this point one unit to the right, and 1 unit to the left.
It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!
heyy everyone a little halp here i kinda need it fast sorry
The heights of Rahul, Akash, Meera and Lakshmi are 1.54m, 1500mm,
152cm,1560mm respectively.
a) Arrange their heights in ascending order.
b) Who is the tallest among them?
Answer:
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Step-by-step explanation:
Rahul- 1.54m
Akash- 1500mm
Meera- 152cm
Lakshmi- 1560mm
Let's start by converting all the measurements to meters.
Rahul is already in meters, so he can just stay the same.
1500mm = 1.5m
152cm = 1.52m
1560mm = 1.56m
So our new measurements are:
Rahul- 1.54m
Akash- 1.5m
Meera= 1.52m
Lakshmi= 1.56m
We can now make our conclusions.
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Answer:
Step-by-step explanation:
Let's convert all the heights to meters:
Rahul 1.54m
Akash 1.50 m
Meera 1.52 m
Lakshmi 1.56m
Now, let's arrange their heights in ascending order (shortest to tallest):
Akash 1.50 m
Meera 1.52 m
Rahul 1.54m
Lakshmi 1.56m
a) 1500 mm, 152 cm, 1.54 m, 1560 mm
b) therefore Lakshmi is the tallest.
PLEASE ANSWER ALL THESE FOR 60 POINTS!!!
Answer:
Step-by-step explanation:
17. ≈ 1.41 + 5 = 6.41
18. ≈ 1.73 × 2.24 = 3.8752
19. ≈ 3.14 × 25 = 78.5
20. ≈ 2.24 × 2.24 = 5.0176
21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72
22. I’m sorry. I don’t know.
please give me a brainliest answer
ryan has a balance of $75 in his savings account and deposits $25 each week. He needs at least $300 to buy the gift he wants for his birthday. Which inequality can be used to find W, the number of weeks when Ryan will have more than $300
Answer:
25x + 75 ≥ 30
Hope this helps!
fifteen is the same a one-fifth a number
15 = 1/5+x or 15 = 1/5x
Answer:
74/5
Step-by-step explanation:
15x5 =75 5ths. 1/5 + 74/5 = 75/5
Someone plz help me :(
Answer:
the answer is c :)
Step-by-step explanation:
The area of a square is 1 square foot . What is the length of each side of the square?
A) 1ft.
B) 2ft.
C)3ft.
D)4ft.
Answer:
A
Step-by-step explanation:
1ft times 1ft is only 1 ft
Answer:
1ft
Step-by-step explanation:
hey yall i need you guys to answer this ]
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?] P.S ur the best yall
Answer:
he spent $75.80
Step-by-step explanation:
hope this helps:D
Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?
Answer:
35
Step-by-step explanation: