Answer:
a
Step-by-step explanation:
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
Add. 7/4+9/-5 wrote your answer as a fraction in simplest form
Answer:
7/4 + 9/-5 =
Since the denominator of the second fraction is negative the sign will change from negative to positive
We will get
7/4 - 9/5
First find the LCM
LCM of 4 and 5 is 20
7/4 - 9/5 = 5(7) - 4(9)/ 20
Simplify
We get
35 - 36/20
= -1/20
Hope this helps
Answer:
-1/20
Step-by-step explanation:
7/4 + -9/5
We need a common denominator, which is 20
7/4 *5/5 + -9/5 *4/4
35/20 + -36/20
Add the numerators together
-1/20
Help!! What is the area?
Answer:
203in²
Step-by-step explanation:
split up the shape into three rectangles
5in × 14in = 70
9in × 7in = 63
5in × 14in = 70
70 + 63 + 70 = 203in²
A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were.The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. These data can be graphically displayed by a bar graph. Which graph below correctly displays the data from the list and the table? A. Graph A B. Graph B C. Graph C D. Graph D
Answer:
C
Step-by-step explanation:
It looks to me possibly C
hope it helps you
A graph is a way to represent a lot of data in a visual format. The graph which correctly displays the data from the list and table is graph c.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The bar graph that can represent the given situation will have the name of the color pattern on the x-axis, while the number of students who choose the pattern will be listed on the y-axis.
Since the last pattern is the yellow pattern, therefore, it should be on the leftmost side of the equation and must have the smallest candle. while the first candle should be the second-largest candle as it is selected by only four students. Since the second candle and the third candle has the value of 6 and 12. Therefore, the length of the third candle should be half of the length of the second candle.
Now, the only graph that fits these criteria is graph C.
Hence, the graph which correctly displays the data from the list and table is graph c.
Learn more about Graph:
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A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 306. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number
Answer:
Catcher's number = 17
Pitcher's number = 18
Step-by-step explanation:
Let two consecutive numbers be represented by x and (x + 1)
Hence,their product
= x(x + 1) = 306
= x² + x - 306 = 0
We factorise
= x² + 18x - 17x - 306 = 0
= x(x + 18) - 17(x + 18) = 0
= (x + 18)(x - 17) = 0
x + 18 = 0 = -18
x - 17 = 0 = 17
x = 17 and -18
Our answer can't be a negative integer
Hence x = 17
The second consecutive integer = x + 1
= 17 + 1 = 18
Hence the uniform numbers are 17 and 18.
We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.
Therefore,
The Catcher's uniform number = 17
The Pitcher's uniform number = 18
3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.
Answer:
0.12
Step-by-step explanation:
3/25= 12/100
12/100=0.12
HELP ME NOW PLSSSSSS
Answer:
A-2/9
Step-by-step explanation:
assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)
3x3=9
he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.
so I think it would be 2/9
Answer:
5/9
Step-by-step explanation:
Hello,
To continue on the same logic as for other questions, let s check the possible outcomes, they are 9
First draw second draw sum of the value Is it >= 30c?
dimes dimes 20
dimes nickels 15
dimes quarters 35 Yes
nickels dimes 15
nickels nickels 10
nickels quarters 30 Yes
quarters dimes 35 Yes
quarters nickels 30 Yes
quarters quarters 50 Yes
For only 5 the sum is >= 30c
so the probability is 5/9
hope this helps
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the regions that’s shaded
Answer:
The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.
Answer:
Green: x is less than or equal to 2
Purple: y is greater than or equal to x
The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6
Step-by-step explanation: Solid lines mean equal to or < >
Sorry my keyboard doesn't have the real symbol for those.
Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.
A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.
Answer:
Step-by-step explanation:
For greater clarity, graph this triangle. If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex. The point B(3, -3) becomes D(-3, -3). Finally, the point A(4, -1) becomes E(-4, -1).
Answer:
A(4,-1)-> A'(-4,-1) . B(3,-3)->B'(-3, -3) . C(0,2) -> C' (0,2)
Step-by-step explanation:
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
the value of x is __?
What is the distance between (-2 1/2, -3) and (1, -3)
A.-3 1/2 units
B.-1 1/2 units
C.1 1/2 units
D.3 1/2 units
Answer:
D) 3 1/2Step-by-step explanation:
d = √(x₂ - x₁)² + (y₂ - y₁)²
x₂ = 1
x₁ = - 2 1/2 = - 5/2
y₂ = - 3
y₁ = - 3
d = √( 1 + 5/2)² + (- 3 + 3)²
= √(2/2 + 5/2) + 0
= √(7/2)²
= 7/2
= 3 1/2
Answer:
D
Step-by-step explanation:
(-2 1/2, -3) = (-5/2 , -3) & (1, -3)
[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}[/tex]
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
100 POINTS
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. What would most likely be the approximate height of the plant after 8 weeks?
11.0 centimeters
9.25 centimeters
8.8 centimeters
7.4 centimeters
Answer:7.4cm
Step-by-step
The approximate height of the plant after 8 weeks is 5.8 centimeters.
Given that:
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.
Donna drew the line of best fit on the graph.
From the graph, the line of best fit passes through the points (0, 1) and (5, 4).
Now find the equation of the line passing through these points.
The slope of the line is:
m = (4 - 1) / (5 - 0)
= 3/5
The equation of the line can be written as y = 3/5 x + c.
Now, substitute one of the points, let it be (0, 1).
1 = c
So the equation is y = 3/5 x + 1.
Now, after 8 weeks, x = 8.
y = 3/5 (8) + 1
= 5.8
Hence the height is approximately 5.8 centimeters.
Learn more about Slope here :
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If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
Which number is a multiple of 6 and 8
Answer:
The lowest number that is a multiple of 6 and 8 is 24.
Step-by-step explanation:
6, 12, 18, 24.
8, 16, 24.
Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.
Let's check for all the given options:
1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.
2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.
3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.
4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.
Hence, the correct option is (3).
Learn more about divisibility here:
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What is the slope of the line described by the equation below y=-6x+3
Answer:
[tex]-6[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope of the line.
[tex]b[/tex] is the y-intercept.
[tex]y=-6x+3[/tex]
[tex]m=-6[/tex]
[tex]-6[/tex] is the slope of the line.
Answer:
-6
Step-by-step explanation:
The given equation is:
y = -6x+3
The standard slope-intercept equation is:
[tex]y = mx+c[/tex]
Where m is slope and c is y-intercept
Comparing the given equation with standard form, we get:
Slope = m = -6
Need some help I have the first bit
Answer:
y = [tex]\frac{3}{5}[/tex]x + 3
Step-by-step explanation:
First, find the slope with rise/run
This gets you 3/5
Then, find the y intercept, which is (0, 3)
The equation will be
y = [tex]\frac{3}{5}[/tex]x + 3
Answer:
Brainleist!!!
Step-by-step explanation:
see picture!
For what values of the variables are the following expressions defined? •18/y
Answer:
function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]
Step-by-step explanation:
given data
number = 18/y
solution
in given value 18/y
If y=0, the function will be Undefined.
Because, the function is undefined if its denominator = 0
so that if we determine the function is defined, we will find out for what values the function is undefined and remove it
so, the function 18/y is defined for all values of y such that
[tex]y \in R, y\neq 0[/tex]
a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.
Answer:
The answer is 500 times
Step-by-step explanation:
hope this helps you
Give my answer in terms of pi and state it's units
Answer:
113.1 square mm
Step-by-step explanation:
A=πr2=π·62≈113.09734
Answer:
[tex]= 36\pi \: {mm}^{2} \\ [/tex]
Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]
How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.
Answer:
25.12
Step-by-step explanation:
round pi to first 2 digits after decimal point.
3.14 x 8 =25.12
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
Find the y value for the point that divides the line segment CD into a ratio of 4:1.
Segment CD is shown. C is at 9, 6 and D is at 5, 1.
2
6.2
3
2.8
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2
Answer:
2 is correct
Step-by-step explanation: I got it right on test
please help! summer school is really getting to me :(
Answer:
yes their parallel
Step-by-step explanation:
their the same equation just one is negative they go the go next to each other but never touch
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
WHAt is the equation of the graph below?
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
The corner section of seats in a stadium contains 2 seats in the front row, 4 seats in the second row, 6 seats in the third row, etc. Each row has 2 more seats than the row in front of it. There are 2n seats in the nth row. How many total seats are in a corner section with n rows of seats?
Answer:
n(n +1) is the Total number of seats in the corner section.
Step-by-step explanation:
We are given that:
Number of seats in first row = 2
Number of seats in second row = 4
Number of seats in third row = 6
:
Number of seats in [tex]n^{th}[/tex] row = [tex]2n[/tex]
We can clearly see that it is an Arithmetic progression with
First term, a = 2
Common Difference, d = 2
[tex]n^{th}[/tex] term, [tex]a_n=2n[/tex]
To find: Total number of seats in corner sections with n rows.
i.e. Sum of n terms of above AP.
Formula for sum of n terms of an AP:
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\[/tex]
Putting the values:
[tex]\Rightarrow \dfrac{n}{2} ({2 \times 2 +(n-1)2})\\\Rightarrow \dfrac{n}{2} (4 +2n-2)\\\Rightarrow \dfrac{n}{2} (2n +2)\\\Rightarrow \dfrac{n}{2} \times 2(n +1)\\\Rightarrow n(n +1)[/tex]
n(n +1) is the Total number of seats in the corner section.
In the graph above what’s the distance between (5,3) and (5,-2)
Answer:
5
Step-by-step explanation:
The distance is 5 because when you count out the units on the graph, it is 5 apart.
To double check, you could also use distance formula, which would give you √25, which is also 5
Answer:
5 unitsSolution,
Let the points be A and B
A(5,3)----->(X1,y1)
B(5,-2)------>(x2,y2)
Now,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: \: = \sqrt{ {(5 - 5)}^{2} + {( - 2 - 3)}^{2} } \\ \: \: \: = \sqrt{ {(0)}^{2} + {( - 5)}^{2} } \\ \: \: \: = \sqrt{0 + 25} \\ \: \: \: = \sqrt{25} \\ \: \: \: = \sqrt{ {(5)}^{2} } \\ \: \: \: = 5 \: units[/tex]
hope this helps .....
Good luck on your assignment...