Answers
Answer:
Yes, by SSS
Step-by-step explanation:
They are touching by their hypotenuses in the middle (they are sharing a hypotenuse).
NP is the corresponding side for QM. Their measures are both 10.
MN is corresponding to PQ, and both sides equal 18.
Related Questions
Which of the following is an equation of the line through (3, −1) and (−2, 14)?
y=1/5x+ 13/5
y= -1/5 x+ 17/5
y = -3x + 8
y = 3x + 8
Answers
What is the area of the rectangle 3cm 3cm
Answers
Answer:
18 square centimeters
Step-by-step explanation:
To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.
Answer:
9 cm
Step-by-step explanation:
Area is length x width
3 cm x 3 cm = 9 cm
But if you are doing the problem from the picture it is
A = 6 cm x 3 cm
= 18 cm
simplify (y + 1)⁵ ÷ (y + 1)³
Answers
Answer:
[tex]given \\ \frac{ {(y + 1)}^{5} }{(y + 1) ^{3} } \\ as \: they \: have \: same \: base \\ {(y + 1)}^{5 - 3} \\ = (y + 1) ^{2} \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.[/tex]
Answer:
The answer is [tex]y^2+2y+1[/tex]
Explanation:
- Properties of Exponent -
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Our a is y+1
Our m is 5
Our n is 3
[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]
- Multiply The Polynomial -
As for the Quadratic Polynomial and being squared, we use the following formula:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
Our x is y
Our y is 1
Thus,
[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]
As our simplified, multiplied form is [tex]y^2+2y+1[/tex]
A3ft board weighs 2 pounds. How much
does a 12 ft board weigh?
Answers
Answer:
8 pounds
Step-by-step explanation:
3 ft board = 2lb
12 ft board is 4 times more so
2x4 = 8 lb
Write an equation in slope-intercept form given the point and the slope. Then graph the equation.
Point: (2, 4); Slope: -3/4
Answers
Answer:
y=-3/4x+5.5
Step-by-step explanation:
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt. How many of each flower pot did she buy?
Answers
Answer:
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Step-by-step explanation:
Let
The number of clay flower pots = x
The number of ceramic flower pots = y
Tara bought 35 flower pots
= x + y = 35
x = 35 - y
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.
Hence:
2x + 7y = 150.... Equation 2
Substitute 35 - y for x in Equation 2
2 (35 - y) + 7y = 150
70 - 2y + 7y = 150
-2y + 7y = 150 - 70
5y = 80
y = 80/5
y = 16 flower pots
x = 35 - y
x = 35 - 16
x = 19 flower pots
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Answer:
The number of clay flower pots = 19
The number of ceramic flower pots = 16
Step-by-step explanation:
Write a quadratic equation in standard form that has two solutions, 6 and - 8
Answers
0
at the given points
6
and
−
10
.
Our quadratic equation should be a product of expressions which are zero at the specified roots.
Consider
(
x
−
6
)
⋅
(
x
+
10
)
=
0
This equality holds if
x
=
6
since
(
6
−
6
)
⋅
(
6
+
10
)
=
0
⋅
16
=
0
And the equality holds if
x
=
−
10
since
(
−
10
−
6
)
⋅
(
−
10
+
10
)
=
−
16
⋅
0
=
0
Expanding this equation by the FOIL method, we get:
x
2
+
10
x
−
6
x
−
60
Combining like terms, we find our solution:
If point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5: a) What is the rule (written using proper symbols)? b) What are the coordinates of A'?
Answers
Given:
Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.
To find:
The rule and coordinates of A'.
Solution:
Let a point be P(x,y).
If a point translated 3 units horizontally and -5 units vertically, then
[tex]P(x,y)\to P_1(x+3,y-5)[/tex]
Then, rotated 90° clockwise.
[tex](x,y)\to (y,-x)[/tex]
[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]
Then, reflected over the x-axis.
[tex](x,y)\to (x,-y)[/tex]
[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]
Dilated by a factor of 5.
[tex](x,y)\to (5x,5y)[/tex]
[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]
[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]
So, the rule of transformation is
[tex](x,y)\to (5y-25,5x+15)[/tex]
We have a point A(4,-3). So, put x=4 and y=-3.
[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]
[tex]A(x,y)\to A'(-15-25,20+15)[/tex]
[tex]A(x,y)\to A'(-40,35)[/tex]
Therefore, the coordinate of point A' are (-40,35).
The temperature of a solution in a science experiment is –6.2℃. Jesse wants to raise the temperature so that it is positive. Give an example of a number of degrees Celcius by which Jesse could raise the temperature? pls i need the answer
Answers
Answer:
184
Step-by-step explanation:
hope this helps!! :D
. Solve for c: 36 + c = 65 *
Answers
Answer:
29
Step-by-step explanation:
I subtracted 65 from 36 since the question only gave me 2 numbers and a variable to use.
Step-by-step explanation:
c = 65 - 36
c = 29
C is 29 that is the answer
A researcher wanted to know which type of toy 3-year-olds prefer for play. The researcher placed a tricycle, blocks, a train set, and puzzles in a room and observed how many of 20 children played with each type of toy. What is the k value for this study
Answers
Answer:
k = 4
Step-by-step explanation:
The formula for binomial probability distribution is;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
Where C(n, k) is the number of possible ways that n number of people choose k.
While p is probability of success
In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.
This means that from binomial probability distribution formula, n = 20 and k = 4.
Rocío paga por un par de zapatos 94.50 soles sabiendo que es el precio y luego de los descuentos sucesivos de 10 %y 20% cuál es el precio original de los zapatos
Answers
Responder:
$ 131.25
Explicación paso a paso:
Dado que :
Importe pagado tras sucesivos descuentos del 10% y 20%
Sea el costo original = x
Importe final tras ambos descuentos = 94,5
Primer descuento = (1 - 0.1) x = 0.9x
Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5
Es decir ; 0,8 * 0,9x = 94,50
0,72x = 94,50
Dividir ambos lados por 0,72
0,72x / 0,72 = 94,50 / 0,72
x = 131,25
Por lo tanto, precio original = $ 131.25
Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save 15$ each week. Aimee has 5$ and plans to save 50$ a week. How many weeks it'll take for Aimee and Malloy to have the same amount of money
Answers
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
[tex]\frac{30}{35}[/tex] or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
c/38 = 44/19
what does c equal?
Answers
Answer:
c = 88
Step-by-step explanation:
c/88 = 44/19
19×c = 44×38
19c = 1672
c = 88
Please help I’m being timed
Four points are shown
D (-2, 1)
E (1, 5)
F (4, 9)
G (7, -3)
which three points are contained by the same line?
A: D, E, F
B: E, F, G
C: D, E, G
D: D, F, G
Answers
The sum of the angles of any triangle is
Answers
Answer:
180 degrees
Step-by-step explanation:
On dividing a natural number by 13, the remainder is 3 and on dividing the same number by 21, the remainder
is 11. Ifthe number lies between 500 and 600, then the remainder on dividing the number by 19 is
Answers
9514 1404 393
Answer:
4
Step-by-step explanation:
The least common multiple of 13 and 21 is 274, so the number of interest will be 10 less than that. The value in the given range is ...
2(274) -10 = 536
We are interested in the remainder from 536/19, which is 4.
__
536 = 13·41 +3 = 21·25 +11 = 19·28 +4
Starter
£1 = €1.16
What are £2 worth in Euros?
What about £5?
And £50?
If we were to plot these on axes, what shape would the
graph be?
Where would the graph cross the axes?
What would we label the axes with?
Answers
Answer:
1) £2 = €2.32
£5 = €5.80
£50 = €58
2) The graph will be a straight line
3) (0, 0)
4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis
Step-by-step explanation:
1) The given conversion factors is £1 = €1.16
Therefore;
£2 = 2 × €1.16 = €2.32
£2 = €2.32
£5 = 5 × €1.16 = €5.80
£5 = €5.80
£50 = 50 × €1.16 = €58
£50 = €58
2) The shape of the plot of the directly proportional currencies graph will be a straight line
3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)
4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply
Answers
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at any value of x
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60
Answer:
1,4,7
Step-by-step explanation:
$90 with 25% off (SHOW WORK)
Answers
Answer:
$22.5
Step-by-step explanation:
25% of $90
25% x 90
0.25 x 90
$22.5
Mary has some money to purchase furniture for her home. She bought a television that cost $1400. She spent 40% of the remaining money on a bed. If the bed cost 25% as much as the total amount of money she had at first. What is the difference between the cost of the television set and the bed?
Answers
Answer:
The difference $2.733.30
Step-by-step explanation:
Let the total money be x
The remaining money will be (x-1400)
40% of this on a bed
= 40/100 (x-1400)
= 0.4(x-1400)
cost of bed is 25% of x
Thus;
0.4(x-1400) = 25/100 * x
0.4(x-1400) = 0.25x
0.4x - 560 = 0.25x
0.4x-0.25x = 560
= 0.15x = 560
x = 560/0.15
So the difference between the tv and. bed, will be ;
560/0.15 - 1400
= (560-210)/0.15 = $2,333.33
NEED ANSWER ASAPPP PLEASE!!
Answers
Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
√2x-7+X= 5
Solve the equation with work shown below
Answers
Answer:
[tex]x=12(\sqrt2-1)[/tex]
Step-by-step explanation:
The given equation is :
[tex]\sqrt{2} x-7+x=5[/tex]
Add 7 to both sides of the equation.
[tex]\sqrt{2} x-7+x+7=5+7\\\\\sqrt{2} x+x=12[/tex]
Taking x common from both sides of the equation.
[tex]x(\sqrt{2} +1)=12\\\\x=\dfrac{12}{\sqrt2+1}[/tex]
Multiplying both numerator and denominator by [tex]\sqrt2-1[/tex]
[tex]x=\dfrac{12}{\sqrt2+1}\times \dfrac{\sqrt2-1}{\sqrt2-1}\\\\=\dfrac{12(\sqrt2-1)}{2-1}\\\\=12(\sqrt2-1)[/tex]
Hence, the value of x is [tex]12(\sqrt2-1)[/tex].
What is the area of this figure?
8 in.
Enter your answer in the box.
16 in
7
20 in
Answers
I NEED HELP FAST!!!
What is the area of this figure?
Enter your answer in the box.
Answers
Answer:
81
Step-by-step explanation:
area of top triangle = 1/2 x 8 x 9 = 36
area of rhombus = 9 x 5 = 45
sum of areas = 81
-7(6x+7)=-133
show work
Answers
Answer:
multiply -7 by 6x and then multiply-7 by 7
-7(6x)-7(7)
-42x-49=-133
+49. +49
the 49 cancel out
-42x=-84
divide both sides by -42
-42x/-42=-84/-42
the -42 cancel out
leaving x=2 the negatives cancel out making it positive
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two snacks and three movie tickets are $32.
Answers
We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.
2 snacks= $8
What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4
1 snack= $4
Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:
32 - 8= 24
3 tickets= $24
Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:
1 ticket= $8
Therefore, snacks are $4 and movie tickets are $8
Thank you! Btw can i please get brainly :3
Andrews math teacher entered the seventh- grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge each packet of 10 test. The total cost was $151. How many test were purchased?
Answers
Answer:
11
Step-by-step explanation:
You would start by subtracting $30 from $151 which is $121.
Then you would divide this by 11 which 121÷11=11
So 11 test were bought.
Will mark Brianliest correct answer !!!!!!!!!! Please answer !!!!!!!!!!
Answers
Answer:
x = 22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
other angle that is not x is 180-134= 46 degrees
180-(46+112)=x
180-158=x
22=x
6. Which expression is equivalent to (14442,6 for all positive values of k and r? OF 12kr7 O G.726?-14 OH 144kry O J. 126-14
Answers
Answer:
the answer is 12k²r¹⁴.........