9+12=m or 9+12=21
this is because when we start with m-9=12 we know that m is supposed to be the sum of 9 and 12.
if we check our work we will see this
9+12=21
9+12=21
m-9=12
21-9=12
It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle
formed by third base, second base, and home plate. What can you conclude about the distance from first base to home plate, and from home plate to third base? Explain using your knowledge of congruent triangles.
Distance between first base to home plate and from home plate to third plate are equal.
Given : It is the same distance from second base to first base, and from second base to third base. The angle formed by first base, second base, and home plate has the same measure as the angle formed by the third base to home plate ,and from home plate to third base.
The given situation and distance between first base to home plate and from home plate to third plate are equal.
On Converting the given situation into a geometry problem. So we name the require points.
Let A be the home plate,
B is first base,
C is the second base,
And D is the third base.
Now, we can present a geometrical proof:
Statement and their reasons
(1) BC = CD - ( Given )
(2) AC = AC - ( Reflexive Property )
(3) Δ ACD = Δ ACB - ( SAS Congruence - side angle side)
(4) AD = AB - ( CPCTC - Congruent Parts of Congruent Triangles are Congruent )
Therefore, the gap from 1st base to home plate, and from home plate to 3rd plate are equal.
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. A window is in the form of a rectangle surmounted by a semicir- cle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thick- ness of the frame.
The area of the window that lets in the most light will be the one that causes the window to transmit the most light overall.
To find the proportions of the window that will admit the lightest, we need to maximize the total area of the window while keeping the perimeter fixed. The total area of the window is the sum of the area of the rectangle and the area of the semicircle. The area of the rectangle is the product of its length and width, and the area of the semicircle is half the product of its radius and the area of a full circle with the same radius.
Since the perimeter is fixed, the length and width of the rectangle are also fixed. The radius of the semicircle can be found using the perimeter and the length and width of the rectangle.
Once we have the radius of the semicircle, we can find the area of the rectangle, the area of the semicircle, and the total area of the window. Since the semicircle is of tinted glass that transmits only half as much light per unit area as clear glass does, we will have to multiply the area of the semicircle by 0.5 to find the total amount of light transmitted by it.
Finally, we will have to compare the total amount of light transmitted by the window for different values of the length and width of the rectangle. The proportion of the window that admits the most light will be the one that results in the maximum total amount of light transmitted by the window.
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what is the sum of 2/3 and 4/5
Answer:
1 7/15 or 22/15
Step-by-step explanation:
2/3 = 10/15
4/5 = 12/15
Answer:
2/15
Step-by-step explanation:
If the height of the triangle given below is 35 cm, what then is its area? (Round your final answer to the tenths place, if necessary).
Answer:
I need the width in order to solve it. . .
Formula - To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
Was there a width?
What are the factors of the expression x² 4x 3?
The factors of the expression x² 4x 3 are (x + 3)(x − 3).
What is factor?Factor is a number that can be multiplied to produce another number. Factors are used to find the greatest common factor (GCF) and least common multiple (LCM) of two or more numbers. Factors are also used in equations to find solutions and in algebra to solve polynomials. Factors are also important in computing, since they are used to identify prime numbers and prime factorisation.
This is determined by using the factoring technique called factoring by grouping.
First, the expression is written in two groups: x2 and 4x 3. Then, each group must be factored. For the first group, the factors are x and x, since any number multiplied by itself results in the number itself. For the second group, the factors are 4 and 3, since 4 multiplied by 3 equals 12.
Next, the two factors of each group must be multiplied together. The product of x and 4 is 4x, and the product of x and 3 is 3x. The product of 4 and 3 is 12.
Finally, the two groups of factors are combined to form the final expression: (x + 3)(x − 3).
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The school store is selling shirts at cost for $5.50 and Jackets for $12. The volleyball coach spent $208 to buy a total of 26 shirts and jackets. How many shirts did they buy?
Answer:
16 shirts.
Step-by-step explanation:
You can make a system of equations
x + y = 26
5.50x + 12y = 208
You can solve this in many ways, however chose to graph using desmos. I got that x = 16, and y = 10.
what is the x and y intercept of line, plz write as an ordered pair and plz give step by step explanation
Answer:
y-intercept: (0, 1)
x-intercept: (1, 0)
an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.
A circle with radius 12 cm has a segment with a central angle of 60. What is the area of the segment?
Answer:
Exact Area = 24pi square cm
Approximate Area = 75.36 square cm (when using pi = 3.14)
Note: "square cm" can be abbreviated to "cm^2" without quotes.
=============================================================
Explanation:
Let's find the area of the full circle with radius r = 12
A = pi*r^2
A = pi*12^2
A = 144pi
This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).
We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.
In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6
(144pi)/6 = (144/6)pi = 24pi
The exact area of the pie slice is 24pi square cm
If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm
Me resuelven está 2 porfa
a) Each person would receive 1/6 of the cake
b) If there are 49 balls in total and each person is to get seven balls, How many persons can share the balls?
What is the problem?We know that we can be able to make us of the principles of algebra so as to be able to obtain the problems that we have to deal with in the question that appears in the image that is attached.
Given that we have the total amount of the cake as 2 1/2 and then we are told that there are 15 persons in the class thus the amount that everyone should receive would be x.
2 1/2 = 15 x
5/2 = 15x
5 = 2 * 15x
x = 5/2 * 15
x = 1/6
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9% of 40 is what number?
Answer:
3.6
Step-by-step explanation:
Answer:
3.6
Step-by-step explanation:
(using proportion method)
40 x 9 = 360
100 x C = 100c
360 / 100c = 3.6
Quadrilaterals A and B are similar. The area of quadrilateral A is 5cm². Calculate the area of quadrilateral B. 3cm 63° 87° 120° A 90° 15cm 63 87° B 120° 90°
Answer: 25cm²
Step-by-step explanation:
Ok, so I haven't actually learnt this in school so I'm going to give it my best shot. (Don't be surprised if I get this wrong though.)
So, Quadrilaterals A and B are similar. They have the same angles. Therefore, (I'm thinking that) Quadrilateral B is just a scaled-up version of Quadrilateral A.
Here comes my theoretical part:
If one side of Quadrilateral B is 5 times longer than the same side of Quadrilateral A...
(Quadrilateral A is 3cm, and Quadrilateral B is 15cm).
... then the area of the entire Quadrilateral B should just be 5 times bigger than Quadrilateral A.
Therefore, (I'm guessing), Quadrilateral B has an area of 25cm²
What is the perimeter?
Help you plz....And no links!!
I repeat No links!!
Erica bought a road bike using the
store's payment plan. She made a
$320 down payment and makes
monthly payments of $91. If the total
cost is $1,867, how many months will
Erica be paying for the bike? Write and
solve an equation.
Answer:
17 months i think
Step-by-step explanation:
1867$-320$=1547
1547:91=17
The number of months Erica will be paying for the bike, if She made a $320 down payment and makes monthly payments of $91 is 17 months.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
The down payment = $320,
The amount of monthly installment = $91,
The total cost = $1867
Calculate the remaining amount after the down payment as shown below,
The remaining amount = The total cost - The down payment
The remaining amount = 1867 - 320
The remaining amount = $1547
Calculate the number of months as shown below,
The number of months = The remaining amount / The amount of monthly installment
The number of months = 1547 / 91
The number of months = 17 months
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For your birthday, you received a $30 McDonald’s gift certificate. You decided that every day, you’d buy a McGriddle on your way to school. After 4 days, you had $19 remaining on your gift card. a. What is the cost of one McGriddle? Show all work and circle your final answer.
Answer:
3.29
Step-by-step explanation:
A culture of bacteria has an initial population of 860 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after hours, P_0P 0 is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 4 hours, ?
Answer:
1170
Step-by-step explanation:P_0=860
P
0
=860
The initial population
t=4
t=4
Time elapsed
d=9
d=9
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=860\cdot 2^\frac{4}{9}
P
t
=860⋅2
9
4
Plug in
P_t=1170.2794\approx1170
P
t
=1170.2794≈1170
There is 2/3 of a pan of brownies left on the
counter. If you eat 2/3 of the brownies left in the
pan, what is the fraction of the whole pan that
you ate?
Answer:
He ate 4/9 of the pan of brownies.
Step-by-step explanation:
So the question might seem hard but when you read it, it said that there were 2/3 of brownies left and he ate 2/3 of that 2/3 in that pan so to figure 2/3 of 2/3 I divided 2/3 by 3 which is 2/9, 2/9 is 1/3 of 2/3 to figure out 2/3 of 2/3 you need to add by itself which you get 4/9.
What is the value for the lower quartile of the set?
Answer:
I believe its 4
Step-by-step explanation:
How do you solve this?
Answer: 140^3
Step-by-step explanation:
The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.
please help i need help asap i have class in 2 hours pls
The value of x, given the angles next to the triangle, can be found to be 38 °
How to find the value of x ?To find the value of x, you first need to find the value of the other angles in the triangle.
Angles on a horizontal line add up to 180 degrees so the angle to the bottom left is:
= 180 - 134
= 46 °
The angle to the bottom right is:
= 180 - 84
= 96 °
The angles in a triangle add up to 180 ° so the value of x would be:
= 180 - 46 - 96
= 38 °
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In indirect variation where y =
[tex]\frac{k}{x}[/tex]
if y = 20 and x = 2, what is the value of y when x = 10 ?
Step-by-step explanation:
y=k/x
y=20, x=2
Substitute this first to get "k"
20=k/2
k=40
Value of y when x=10... is now
y= 40/10
y=4.
Can you help me with this
Answer: (-4, -6)(9, 2):
y=8/13x - 46/13 (Point slope form: y + 6 = 8/13 *(x+4)
Based on the following calculator output, determine the population standard
deviation of the dataset, rounding to the nearest 100th if necessary.
1-Var-Stats
-
86.7142857143
Σæ = 607
Σχ2 = 59459
Sx= 33.72296095
o2 = 31.2213950714
n=7
minX = 52
Q₁ = 55
Med=87
Q3 = 110
maxX = 138
Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .
Define standard deviation.It tells about how dispersed the data is is indicated by the standard deviation. It expresses the deviation of each observed variable from the mean. Any distribution will have roughly 95% of its values within two standard deviations of the mean.
Here,
We know population SD= Σ(xi-mu)2/n where mu is the population mean and n is the number of observation.
Here
we have n=7 and mu can be taken as x- =310.142
Standard deviation = SD=Σ(xi-mu)2/n
=>(Σxi2/n)-x-2
=>(704883/7)-(310.14)2=67.15=σx
Therefore , the solution of the given problem of standard deviation comes out to be 67.15=σx .
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6 3/4 + 3 1/8 whats the answer?
Answer:
9 7/8
Step-by-step explanation:
someone pls help this is an emergency
Elizabeth has 214 gallons of milk in her refrigerator, and she drinks 23 of the quantity. How much milk does Elizabeth drink?
Answer:
9 days
Step-by-step explanation:
We know
Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.
We take
214 / 23 = 9 days
So, she can drink in 9 days
A carpenter needs to be sure that a frame he has built is rectangular. He knows that the opposite sides of his frame are congruent. Which additional fact would be sufficient to prove that the frame is a rectangle?
A)
If two adjacent angles are supplementary, then the frame must be rectangular.
cross out
B)
If the adjacent sides are also congruent, then the frame must be rectangular.
cross out
C)
If opposite angles are congruent, then the frame must be rectangular.
cross out
D)
If one angle is a right angle, then the frame must be rectangular
The answer is D) If one angle is a right angle, then the frame must be rectangular,
What is angle?An angle is a measure of the amount of rotation between two lines or planes. It is measured in degrees or radians. Angles are formed by the intersection of two lines, called the sides of the angle, and a point, called the vertex of the angle. There are different types of angles such as acute angle, right angle, obtuse angle, and straight angle.
What is rectangle?A rectangle is a four-sided polygon with four right angles. It has opposite sides that are parallel and congruent, and the opposite angles are also congruent. A rectangle can be defined by its length and width or by the coordinates of its vertices. Rectangles are a special case of parallelograms, which have opposite sides parallel but not necessarily congruent. The special properties of rectangles make them a popular shape in design and construction, such as in building and engineering.
A rectangle is defined as a four-sided polygon with four right angles. Opposite sides of a rectangle are congruent, but adjacent sides may or may not be congruent. Therefore, A and B are not sufficient to prove that the frame is a rectangle. Also, two adjacent angles being supplementary does not guarantee that the frame is a rectangle. The only way to be sure that the frame is a rectangle is if it has one right angle, this is the only way to ensure that all angles are right angles. Therefore, D) is the correct answer.
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One of the adjacent angles of the parallelogram is 50° more than the other. The measure of the least angle in the parallelogram is ___
Answer:
65
Step-by-step explanation:
A parallelogram is a quadrilateral (a four sided object) with parallel sides
Some of the characteristics of a parallelogram includes :
1. Opposite sides and angles are congruent .
2. Opposite angels are congruent
3. Consecutive angles are supplementary
4. The diagonals bisect each other
one side measures = 50 + x
the opposite side measures 50 + x
and the 2 other sides measure x
sum of angles in a parallelogram = 360
50 + x + 50 + x + x + x = 360
100 + 4x = 360
4x = 260
x = 65
Hello can someone please help me with this
1. The best geometric model for the rail road is C. Line
2. Two straight lines cannot go through any two points. It is false.
3. The length of the cake is A. 5.5 inches.
4. The vertical angles are AHC and GHE.
How to illustrate the information?The best geometric model for a set of railroad tracks would likely be a line, as it represents the linear path that the tracks follow. A point would not be appropriate as it does not represent the length or direction of the tracks, and a plane would not be necessary as the tracks are linear and exist in a three-dimensional space.
It should be noted that two straight lines cannot go through any two points. Only one line can. The length of the cake will be:
= 6.0 - 0.5
= 5.5
It should be noted that vertical angles are equal. This was Illustrated as AHC and GHE.
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Can someone please answer this
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C?
Step-by-step explanation:
I think it is C but I am not sure.