Answer:
x=32
Step-by-step explanation:
Add the 2 angles and subtract that by 180.
I would check my work just to make sure :)
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:
Answer:
8, 2, 8, 2
7, 3, 7, 3
6, 4 6, 4
9, 1, 9, 1
Step-by-step explanation:
In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.
So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.
Since there are 18 numbers, I'm assuming we don't have to use all of them.
Answer:
9, 1, 9, 1
2, 8, 2, 8
3, 7, 3, 7
6, 4, 6, 4
Step-by-step explanation:
you would have to have the numbers repeat so it works, for instance, you could do 9,1,9,1 as the first row then 2,8,2,8 as the second row and for the third row you could do 3,7,3,7 and for the fourth row you could do 6,4,6,4 so both the columns and rows add to 20
Find an equation in standard form for a parabolic function that goes through the points (1,-12) (3,16) and has a stretch factor of 2
Answer:
Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.
The vertex of a parabola is the point at the top or bottom of the parabola.
'h' is -6, the first coordinate in the vertex.
'k' is -4, the second coordinate in the vertex.
'x' is -2, the first coordinate in the other point.
Step-by-step explanation:
Simplify. 2x+7y+3x−4y please help
Answer:
5x +3yStep-by-step explanation:
[tex]2x+7y+3x-4y\\\\\mathrm{Group\:like\:terms}\\=2x+3x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:2x+3x=5x\\=5x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:7y-4y=3y\\= 5x+3y[/tex]
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{5x + 3y}[/tex]
Let's simplify step-by-step.
[tex]2x+7y+3x-4y[/tex]
[tex]= 2x+7y+3x-4y[/tex]
Combine Like Terms:
[tex]2x+7y+3x-4y\\= ( 2x + 3x ) + ( 7y + -4y ) \\= 5x + 3y[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Julie printed out a picture of each of the four members of her favorite band to decorate her bedroom door. Each picture measures 8 inches by 10 inches. Once decorated, how many square inches of Julie's door will be covered by these pictures?
Answer:
360 square inches
Step-by-step explanation:
(8*10)*4
80*4
360
ax+by = c solve for y
Answer:
[tex]y=\frac{c-ax}{b}[/tex] is the answer
Step-by-step explanation:
ax+by=c
subtracting ax on both sides
ax-ax+by=c-ax
by=c-ax
dividing b on both sides
by/b=[tex]\frac{c-ax}{b}[/tex]
[tex]y=\frac{c-ax}{b}[/tex]
hope it will help ^_^
Answer:
y= (c-ax)/b
Step-by-step explanation:
What is the first step for solving this problem: 12÷ 6(3)+8
Answer: The first step would be to divide 12 by 6.
Step-by-step explanation:
Answer:
Division.
Step-by-step explanation:
There are two rules that you follow. One is PEMDAS, and the other is the left -> right rule.
Note that PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
The order of operation is: P , (E & R) , (M & D) , (A & S), parenthesis meaning they can be interchangeable, due to the left -> right rule.
Solve:
First, divide:
12/6 = 2
Next, multiply:
2 x 3 = 6
Finally, add:
6 + 8 = 14
14 is the answer.
Sal deposited $5000 in a 60-month CD the paid 5% interest compounded annually. What was the total value of the CD after 5 years?
What is the simplified form of 3√7 - 5√7? A. -2√7 B. 2√7 C. -√14 D. 15√7
What is the rate of change of the function represented by the table?
A. –2.5
B .–1
C. 1
D. 2.5
NEEED HEEELP!!! WILL GIVE BRAINLIEST
Answer:
-2.5
Step-by-step explanation:
Subtract -8.5 from -6, and continue down the column.
The table and scatter plot show the number of hours worked, x , and the amount of money spent on entertainment, y, by each of 10 students. The equation of the line of best fit is y=0.3x+24.00 Use the equation of the line of best fit to fill in the blanks below. Give exact answers, not rounded approximations.
Answer:
number of hours worked equation
The observed amount are At x = 7.9, y = $33.50 and at x = 25.00, y = $25.00 predicted amount are At x = 7.9, y = $26.37 and At x = 12.1, y = $27.63 and residuals are $7.13 and -$2.63.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
Observed amount:
At x = 7.9, y = $33.50
At x = 25.00, y = $25.00
We have a line of best fit:
y=0.3x+24.00
At x = 7.9
Predicated amount:
y = $26.37
At x = 12.1
Predicated amount:
y = $27.63
Residual (when x = 7.9) = $33.50 - $26.37 = $7.13
Residual (when x = 12.1) = $25.00 - $27.63 = -$2.63
Thus, the observed amount are At x = 7.9, y = $33.50 and at x = 25.00, y = $25.00 predicted amount are At x = 7.9, y = $26.37 and At x = 12.1, y = $27.63 and residuals are $7.13 and -$2.63.
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Which expression is equivalent to (-4p+2) - (7p-5) A. 3p-3 B. 3p+7 C.-11-3 D.-11+7
Answer:
-11p + 7
Step-by-step explanation:
(-4p+2)-(7p-5)
-4p + 2 - 7p + 5
-11p +7
Answer:
-11p + 7
Step-by-step explanation:
What is the relationship between the value of the 4 in 3,642 and the value of the 4 in 5,401?
Answer: The 4 in the number 5,401 is 10 times greater than the 4 in the number 3,642.
In the number 3,642 the number 4 is in the Tens Place.
In the number 5,401 the number 4 is in the Hundreds Place.
Tens < Hundreds
40 < 400
Q: How do we know it's 10 times greater?
A: Multiply!
You multiply 40×10 and get 400! To see if the answer is right divide 400÷40 and get 10. Or divide 400÷10 and get 40.
Basically, when you're multiplying something by 10 you just add a 0. When you divide by 10 you remove a 0.
That's how the number 4 in 5,401 is 10 times greater than the number 4 in 3,642.
The surface area of a cube is 600 cubic centimeters. What is the volume? Answer Choices are on the Image.
Answer:
D. 1,000 cm^3
Step-by-step explanation:
Surface area of a cube is calculated by multiplying the square value of the edge by 6 which is shown as 6 × a^2
6 × a^2 = 600
a^2 = 100
a = 10
The volume of a cube is calculated by multiplying edge with itself three times which is shown as a^3
10^3 = 1000
Answer:
D
Step-by-step explanation:
10×10 on each side of the cube= 100. 6 sides = 600.
10×10×10= 1000
can you simplify a ratio of 8 to 6
Answer:
4:3
Step-by-step explanation:
divide 8 by 2 and 6 by 2
8/2:6/2
4:3
Hi there!
Answer:
4:3
Step-by-step explanation:
Here is how we simplify a ratio:
1.Find the greatest common factor in both of the numbers
2.Divide both of the numbers by that factor.
3. And than your done solving the problem!
*******************************************************************
You have to divide both numbers by 2 because the GCF of 8 and 6 is 2
Remember; GCF means Greatest Common Factor...
8/2=4
6/2=3
Since we got 4 and 3...
The answer would be 4:3
So, 8:6 would equal to 4:3
Also if you want to simplify you have to divide and make it the smallest number you can!
If we simplify 8:6 it will be 4:3 but we can’t simplify 4:3 so that will be the answer.
(Note; Half of 8 is 4 and half of 6 is 3 so we know that’s correct, it’s also a way you can check your work)
~Have a great day!~
If you have any questions, feel free to ask! :)
plzzz help! will give branliest if you can do this one!!! i also need help with other math problems
Answer:
The answer is d
Step-by-step explanation:
Write the set of integers in order from least to greatest. 23, 14, -14, -5, 6, -2
Answer:
-14,-5,-2,6,14,23
Let me know if this helped :)
Pls help i need the answer asap
Answer:
1) An triangle
2)Area is the same
3) Length times width then times 1/2
4)To find the polygon's area using the circle's measurement you us pi times radius squared(to find the circles area which is the same as the polygon's area)
HOPE THIS HELPS :)
Simplify 6(x + 4) 10x 6x + 4 6x + 24
Answer:
=360x4+1440x3+24x+24
Step-by-step explanation:
6(x+4)(10)xx(6)x+(4)(6)x+24
=360x4+1440x3+(4)(6)x+24
=360x4+1440x3+24x+24
Hope it helps!!
Write the following statements in equation form: If the sum of a number and its two fifth is 70
Answer:
[tex]x + \frac{2}{5} \times x = 70 \\ x + \frac{2}{5} x = 70[/tex]
Answer:
Let it be x the number.
We have to sum to x two fifths of him and we know the result is 70, so:
[tex]x + \frac{2}{5}x = 70[/tex]
We could also solve it:
[tex]\frac{5x}{5}+\frac{2x}{5}=\frac{350}{5}[/tex]
[tex]5x + 2x = 350[/tex]
[tex]7x = 350[/tex]
[tex]x=\frac{350}{7}=50[/tex]
Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Write and solve an equation to find the actual number of steps you took today.
the answer is 140000 steps
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdrtgaethrtththt
Step-by-step explanation:
what is 9000/16000 as a decimal
Answer:
It is 0.56 Hope this helps!
Step-by-step explanation:
Answer:
0.5625
Step-by-step explanation:
divide and you get 0.5625. Simplified to the nearest tenth is .6
to the nearest hundreth if .56
What is-3.28-(4.4)+(-p) p=9.7?
Answer:
-17.38
Step-by-step explanation:
-3.28-(4.4) = -7.6
-7.6+(-9.7) = -17.38
you have set a goal to drink more water every day. your water bottle holds 0.5 liters of water in the equation below, b is the number of times you drink all the water in your bottle and L is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: L=0.5b Identify the dependent and independent variable.
Answer:
Step-by-step explanation:
B is the independent variable since the amount of times you drink the water is controlled by you.
I is the dependent variable since it's depending on how much water you're drinking
PLEASE HELP!! PLEASE STEP BY STEP!
Answer:
answer is c
Step-by-step explanation:
The Bradenton Post polled 1,356 adults in the city to determine whether they wet their toothbrush before they put toothpaste on it. Of the respondents, 54% said they wet it first. Suppose 68% of all adults actually wet their toothbrush first. What are the mean and standard deviation of the sampling distribution?
Answer:
The mean is 0.68 and the standard deviation is 0.0127. I hope this helps
Step-by-step explanation:
Answer:
Standard = 922Answer: Mean
Step-by-step explanation: vote
=Step-by-step explanation:If they say 54% wet their toothbrush first, then that means that there are about 732 people ... More
the ratio of males to females at a camp is 5 to 4. If there are 40 males at the camp, how many females are there?
Answer:
5 males : 4 females
40 males : X females
5/40 =4/X
(cross multiplication)
5x = 4*40
5x = 160
(divide both sides by 5)
X = 32
therefore, there are 32 females at the camp
Plz fill the blanks in. 2 thousandths+ 9 ones 5 thousandths=_____thousandths=_______
Answer:
the thousandths equils 2
Step-by-step explanation:
yuh
Answer:
9007 thousandths = 9.007
Step-by-step explanation:
A unit is 1000 thousandths, so 9 ones is 9000 thousandths.
You have ...
0.002 + 9.005 = 9.007
2 thousandths + 9 ones 5 thousandths = 9007 thousandths = 9.007
Show that AC and BD bisect each other if A(–3, –5), B(2, –3), C(3, 5), and D(–2, 3). Find AC and BD
Answer:
Step-by-step explanation:
midpoint of AC=((-3+3)/2,(-5+5)/2)=(0,0)
midpoint of BD=((2-2)/0,(-3+3)/2)=(0,0)
coordinates of midpoint of AC and BD are same.
∴ AC and BD bisect each other.
[tex]AC=\sqrt{(3-(-3))^2+(5-(-5))^2 } =\sqrt{6^2+10^2} =\sqrt{136} =2\sqrt{39} \\BD=\sqrt{((-2-2)^2+(3-(-3))^2} =\sqrt{16+36} =\sqrt{52} =2\sqrt{13}[/tex]
Midpoint of AC and BD is ( 0, 0 ), so both bisects each other.
The value of AC = 2 √39 and BD = 2 √13
Here, points given as,
A(–3, –5), B(2, –3), C(3, 5), and D(–2, 3).
We have to find, AC and BD.
What is distance between two points?
Distance between two points [tex]P(x_{1} ,y_{1} )[/tex] and [tex]Q(x_{2} ,y_{2} )[/tex] is given by:
[tex]d(P, Q) = \sqrt{(x_{2}- x_{1} )^2 +(y_{2}- y_{1} )^2 }[/tex]
Now,
Midpoint of AC = [tex](\frac{-3+3}{2} ), (\frac{-5+5}{2} ) = ( 0, 0 )[/tex]
Midpoint of BD = [tex](\frac{-2+2}{2} ), (\frac{-3+3}{2} ) = ( 0, 0 )[/tex]
Hence, Both AC and BD bisects each other.
And, Distance between A and C is,
AC = [tex]\sqrt{(3 - (-3))^2 +(5 - (-5))^2 } = \sqrt{36 + 100} = \sqrt{136} = 2\sqrt{39}[/tex]
Distance between B and D is,
BD = [tex]\sqrt{( -2 -2))^2 +(3 - (-3))^2 } = \sqrt{16 + 36} = \sqrt{52} = 2\sqrt{13[/tex]
Learn more about the midpoint visit:
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Louise measured the perimeter of her rectangular scrapbook to be 148 cm. If the scrapbook is 38 cm wide, how long is the scrapbook?
Answer:
36cm
Step-by-step explanation:
38 × 2 = 76
148 - 86 = 72
72/2 = 36
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?
Answer:
If you are given 3 vertices of a parallelogram, as a Geometry student, you will be asked to find the exact coordinates of the 4th vertex. Just so that you can put your mind at ease, there can be different answers depending on how you decide to "draw" or "shape" your parallelogram. So if your answer is different than another student, it does not mean that you have done it incorrectly.
Suppose I am given 3 points as such, and I am looking for the coordinates of D:
A (2, 3)
B (8, 1)
C (11, 5)
D (x, y)
The line segments that make up our parallelogram is AD is parallel to BC, and CD is parallel to AB. Since the definition of a parallelogram is a quadrilateral with 2 pairs of parallel sides, we can use this fact to find the coordinate to the 4 vertex. A pair of parallel side also means that these 2 lines have the same slope. So if we do this on both pairs of parallel lines, we should have 2 equations with 2 variables, which should be simple to solve.
Slope of CD = Slope Slope of AB
(y - 5)/(x - 11) = (1 - 3)/(8 - 2)
(y - 5)/(x - 11) = -2/6
6(y - 5) = -2(x - 11)
6y - 30 = -2x + 22
equation #1: 6y + 2x = 52
Slope of AD = Slope of BC
(y - 3)/(x - 2) = (5 - 1)/(11 - 8)
(y - 3)/(x - 2) = 4/3
3(y - 3) = 4(x - 2)
3y -9 = 4x - 8
equation #2: 3y - 4x = 1
We now we have 2 equations with 2 variables, and we can use any method (substitution, linear combination, matrix) to solve for the x and y coordinates.
equation #1: 6y + 2x = 52
equation #2: 3y - 4x = 1
Multiply equation by -2
Equation 2: -2(3y - 4x = 1)
Equation 2: -6y + 8x = -2
Add equation 1 to equation 2
equation 1: 6y + 2x = 52
equation 2: -6y + 8x = -2
eq 1 + eq 2: 10x = 50
x = 5
Use any of the original equation to solve for y:
6y + 2x = 52
6y + 2(5) = 52
6y = 42
y = 7
So the 4th vertex for my first answer will be (5, 7)
If we draw the parallelogram in a different way using the given vertices, we will be looking for a different 4th vertex. So in our original question:
A (2, 3)
B (8, 1)
C (11, 5)
D (x, y)
Our line segments in this case will be draw as such:
AC is parallel to BD and CD is parallel to AB.
Slope of AC = slope of BD
(5 - 3)/(11 - 2) = (y - 1)/(x - 8)
2/9 = (y - 1)/(x - 8)
2(x - 8) = 9(y - 1)
2x - 16 = 9y - 9
equation 1: 2x - 9y = 7
Slope of CD = slope of AB
(5 - y)/(11 - x) = (3 - 1)/(2 - 8)
(5 - y)/(11 - x) = 2/-6
-6(5 - y) = 2(11 - x)
-30 + 6y = 22 - 2x
equation 2: 2x + 6y = 52
Solve the following linear system:
equation 1: 2x - 9y = 7
equation 2: 2x + 6y = 52
eq 1 - eq2: -15y = -45
-15y = -45
y = 3
Substitute y = 3 into any one of the original equation:
equation 1: 2x - 9y = 7
2x - 9(3) = 7
2x - 27 = 7
2x = 34
x = 17
So by drawing the parallelogram in a different way, the 4th vertex of this parallelogram is (17, 3).
Step-by-step explanation:
See Answer
The fourth coordinate for the given parallelogram will be (5, 7).
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.
Given the parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1).
Now,
The slope of AB = Slope of CD
(y - 5)/(x - 11) = (1 - 3)/(8 - 2)
6(y - 5) = -2(x - 11)
⇒ 6y + 2x = 52 will be the first equation.
Now,
The slope of BC = Slope of AD
[(y - 3)/(x - 2)] = [(5 - 1)/(11 - 8)]
[(y - 3)/(x - 2)] = 4/3
3(y - 3) = 4(x - 2)
⇒ 3y - 4x = 1 will be the second equation.
Now, By substitution
x = 5 and y = 7
Hence "The fourth coordinate for the given parallelogram will be (5, 7)".
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