Answer:
The end point is (8,-18)
Step-by-step explanation:
please help
maths geometry
(you can’t use congruency)
Step-by-step explanation:
ok, let's try this again. we need to explain congruence then in its details as an implicit part of the proof, as everything boils down to that.
due to AE = FC we also know that ED = BF.
because as ABCD is a parallelogram, it means AD = BC (and AB = DC).
and AD || BC, AB || DC.
as AD = AE + ED and BC = BF + FC, it means that
AE + ED = BF + FC
with AE = FC we can then simplify to
ED = BF.
as AD || BC, so is also ED || BF.
since the distance from E to D is the same as for B to F, it means that EB and DF must be equidistant to each other, and that means they are parallel.
and because ED || BF, that also means that both line segments are equidistant from each other, and that means that the connections between their end points (EB and DF) must have the same lengths.
therefore, the shape is a quadrilateral with 2 pairs of parallel and equally long line segments. and that is the definition of a parallelogram.
so, BEDF is a parallelogram.
2 plus the cube of a number.
Answer:
2+[tex]x^{2}[/tex]
Step-by-step explanation:
Converted from word to standard form.
Austin buys cookies and oranges at the store.
He pays a total of $34.18.
He pays a total of $6.86 for the cookies.
He buys 4 bags of oranges that each cost the same amount.
How much does each bag of oranges cost?
Answer: 6.83
Step-by-step explanation: 34.18 - 6.86 = 27.32 /4 = 6.83
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
C=5/9(F-32)
F=9/5C+32
Answer:
10°C
Step-by-step explanation:
F = 50
C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10
Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches
he makes:
Answer:
7.5 batches
Step-by-step explanation:
if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.
2.25kg would let us make
2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches
I’ll give brainless to the right answer
four boys hiked a distance of 2.53 km from manila south cemetery to washington sycip park. round the distance to the nearesr tenths
Answer:
2.5
Step-by-step explanation:
Mu choices are 2.5 or 2.6 .
2.53 would be closer to 2.5 than to 2.6
The distances would be
2.50, 2.51. 2.52, 2.53, 254. 2.55, 2.56, 2.57, 2.58, 2.59, 2.60
Another name for 2.5 would be2.50 and another name for 2.6 would be 2.60. Do you see from the list above that 2.53 would be closer to 2.50 than 2.60
A plastic page designed to hold trading cards will hold up to 8 cards. How many pages will be needed to store 583 cards? Give an appropriate counting number answer to the question. (Find the least counting number that will work.)
The number of pages that would be needed to store 583 cards is (blank).
Answer:
73 pages
Step-by-step explanation:
You want the number of pages required to hold 583 cards when each page will hold 8.
Least integerThe number of pages required is ...
(583 cards)/(8 cards/page) = 72 7/8 pages
The least integer greater than this number is 73
The number of pages needed to store 583 cards is 73.
3. This diagram is a straightedge and compass construction
of the bisector of angle BAC. Only angle BAC is given.
Explain the steps of the construction in order. Include a
step for each new circle, line, and point.
A straight line that divides a given angle between two equal angles is referred to as an angle bisector. The following are the steps to constructing a bisector of angle BAC:
What is a compass construction?Construction with a straightedge and a set of compasses is a method for constructing lengths, angles, and other geometrical figures. It is also known as ruler-and-compass construction or classical construction.
These are the steps:Draw an internal arc using any radius and point A as the center to join lines BA and AC at points E and F, respectively.Draw an arc with point E as the center and a radius that is the same or different from the radius of the circle.Draw a second arc with the same radius and center point F, intersecting the first arc at point G. A thru G,Construct a straight line. This is an angle bisector of BAC.To know more about compass construction visit:
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At a school fundraiser Ms. Navaro sold 24 plates of cookies, which is 80% of the total number of plates of cookies she baked. How many plates of cookies did Ms. Navaro bake?
Answer:
. Onusko made 60 cookies for a bake sale. She sold 2/3 of them and gave 3/4 of the remaining cookies to the students working at the sale. How many
How many revolutions will a bicycle wheel of diameter 26 inches make as the bicycle travels a distance of 4miles?
Answer:
about 3103
Step-by-step explanation:
Find the slope of (8,9) and (23,9)
Step-by-step explanation:
you mean the slope of the line between (8, 9) and (23, 9).
we can see that right away, as the y value does not change. it means it is a flat line, and that means the slope is 0.
now, formally :
the slope of a line is (y coordinate change / x coordinate change) when going from one point on the line to another.
the direction does not matter, but once we pick one for the comparison of one coordinate, we have to use the same direction also for the other.
I prefer to go from left to right.
so, from (8, 9) to (23, 9).
x changes by +15 (from 8 to 23).
y changes by 0 (from 9 to 9).
the slope is therefore 0/+15 = 0.
Bob is x years old. His brother, Matt, is 4 years older than Bob. Their aunt, Lana, is 5 years less than twice Matt’s age.
Write and simplify an expression that represents Lana’s age in years.
Answer:
9 9 years 9999999999999
Find the equation of the line given the following conditions.
-Passing through (2, -3) and perpendicular to the line whose equation is y=1/5x+6
-Passing through (5, -9) and perpendicular to the line whose equation is x + 7y – 12 = 0
Considering the definition of perpendicular line, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line of y=1/5x +6If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 1/5. So:
1/5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (1/5)
slope perpendicular line= -5
So, the perpendicular line has a form of: y= -5x + b
The line passes through the point (2,-3). Replacing in the expression for perpendicular line:
-3= -5× (2) + b
-3= -10 + b
-3 +10 = b
7= b
Finally, the equation of perpendicular line is y= -5x + 7.
Equation of perpendicular line of x +7y -12= 0In this case, the line is x +7y -12= 0. Expressed in the form y = mx + b, you get:
7y= -x +12
y= (-x + 12)÷ 7
y= -1/7x +12/7
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -1/7. So:
-1/7× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-1/7)
slope perpendicular line= 7
So, the perpendicular line has a form of: y= 7x + b
The line passes through the point (5,-9). Replacing in the expression for perpendicular line:
-9= 7× (-9) + b
-9= -63 + b
-9 + 63 = b
54= b
Finally, the equation of perpendicular line is y= 7x + 54.
Summary
In summary, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
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Work out the equation of the line passing through (0, -1) and parallel to the line y = 2x + 4.
Answer:
Y=2x-1
Step-by-step explanation:
(0,-1) parallel to y=2x + 4
parallel means the slope is the same (i.e m=2)
general equation would be
y=2x+k
now (0,-1) belongs to line where x=0 and y= -1
-1 =2(0)+k
-1 = k
hence k is -1
the equation is y=2x-1
please help
maths geometry 2
Step-by-step explanation:
(e)
because BCDF is a parallelogram, it means that F D = B C = 4.
and F B = D C = 6.
because EDCF is a parallelogram, it means that D C = E F = 6.
that means that E F = F B = 6, so the diagonal E B of ABDE is intersected by the other diagonal A D in the middle at F.
because ABCF is a parallelogram, it means that A F = B C = 4.
that means that A F = F D = 4, so, also the diagonal A D of ABDE is intersected by the other diagonal E B in the middle at F.
when 2 line segments E B and A D intersect each other that way, that makes them the diagonals of a parallelogram.
therefore, ABDE is a parallelogram.
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 38 ft/s. The ball's height h (in feet) after / seconds is given by the following.
h=2+38t-16t^2
Find all values off for which the ball's height is 16 feet.
The height of the ball according to the function h(t) is 16 feet after 1.92 seconds and after 0.46 seconds.
A function is defined as a expression containing one or more variables.
Technically speaking, a function is a means of linking a set of inputs to a set of outputs.
The height of the ball at any time t is given by the function:
[tex]h(t)=-16t^2+38t+2[/tex]
Now the required height of the ball(in feet) is 16 feet. We have to find the value of t for which h(t)=16.
Let us substitute the values:
[tex]\implies h(t)=-16t^2+38t+2\\\implies 16=-16t^2+38t+2\\\implies 16t^2-38t+14=0\\\implies 8t^2-19t+7=0[/tex]
This is in the form of a quadratic equation in t.
Solving by using the quadratic formula:
We know that for a quadratic equation [tex]ax^2+bx+c=0[/tex]
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Therefore for the above quadratic equation:
[tex]t=\frac{-(-19)\pm \sqrt{(-19)^2-4(8)(7)}}{2(8)}\\t=\frac{19+\sqrt{137}}{8},t=\frac{19-\sqrt{137}}{8}\\t=1.919...,t=0.455...[/tex]
Therefore the ball reaches the height of 16 feet at times 1.92 seconds and at 0.46 seconds.
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Find a pair of real number whose sum and product are both 12
The real number whose sum and product are both 12 area 1.101 and 11.899
A quadratic formula that provides the solutions of the final equation ax2 + bx + c = zero which is typically written within the form x = (-b ± √(b2 − 4ac))/(2a) ...(1)Let first number be " x "
Let other number be " 12 - x "
According to the question the product of two numbers is 12 which is given by x(12 - x) = 12
12x - x² = 12
x²- 12x + 12 = 0
Using quadratic formula , we get
Put a = 1 , b = -12 , c = 12 in equation (1) , we get
[tex]\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(12)} }{2(1)} \\\\\frac{12\pm\sqrt{144-48} }{2} \\\\\frac{12\pm\sqrt{96} }{2} \\\\\frac{12\pm9.79 }{2} \\\\[/tex]
Two numbers are 12 + 9.79 / 2 = 1.10 and 12 - 9.79/2 = 10.89
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Use properties to find the product. 25x8x4
The three sides of a triangle are n, 3n+1, and 5n−8. If the perimeter of the triangle is 56cm, what is the length of each side?
Answer:
n = 7
Step-by-step explanation:
You will want to add all common factors with each other.
So that would be n + 3n + 5n which would be 9n.
Then -8 + 1 would be -7. So now it should be 9n - 7.
You are going to set 56 equal to 9n - 7, so that would be 9n - 7 = 56.
After that, you will have to leave 9n alone by itself, so you would have to add 7 to both sides. Your final equation should be 9n = 63.
After that, you should divide both sides by 9 since you want n alone.
So 63 ÷ 9 would be 7. So at the end, n = 7.
Use the number line to complete the sentence.
<————————-> (its on (point A, 1) and (point B, 6) what is
The distance from point A to point Bis [blank] units.
Enter your answer as the number that correctly fills in the blank in the previous sentence
Answer:
5
Step-by-step explanation:
Hop the spaces from 1 until you reach to 6 and you get 5 hops
On a number line, the coordinates of X, Y, Z, and W are -8, -4, 3, and 9, respectively.
Find the lengths of thetwo segments below. Then tell wethwr they are congruent.
___ ___
XY and ZW
___
The length of XY is ___
___
The length of ZW is ___
The length of XY is 4, the length of ZW is 6 and the lengths are not congruent
How to find the lengths of the two segments?The coordinates of the points are given as:
X, Y, Z, and W = -8, -4, 3, and 9,
The above means that
XY = |Y - X|
ZW = |W - Z|
So, we have
XY = |-4 + 8| = 4
ZW = |9 - 3| = 6
Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent
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Please help need to turn in by tomorrow I really need help I don’t even get how to do it could someone explained
Step-by-step explanation:
Technically what you have to do is find what changed in the table charts
find the difference between the output values
find the difference between the input values
then calculate the ratio between the change in the Y and X values
A cyclist his bike at a speed of 40 kilometers per hour what is this speed in miles? How many miles will the cyclist travel in 5 hours ? In your computations assume that 1 mile is equal to 1.6 kilometers. do not round your answers.
The cyclist cover 200 kilometer in 5 hours and his speed in miles are 25 miles per hour.
According to the statement
We have to find that the speed of the cyclist.
So, For this purpose, we know that the
Speed is the time rate at which an object is moving along a path
From the given information:
A cyclist his bike at a speed of 40 kilometers per hour
Then
The distance he covered in 5 hours = 40*5
The distance he covered in 5 hours = 200.
And then
The speed in miles :
We have given that the 1 mile is equal to 1.6 kilometers
Then
If he covers a 40 kilometers in a hour then
in miles it becomes = 40/1.6
In other words,
Speed in miles = 40/1.6
Speed in miles = 25 miles per hour.
So, The cyclist cover 200 kilometer in 5 hours and his speed in miles are 25 miles per hour.
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a = 18t + 5 4) Leo made an initial deposit to a savings account. Each week thereafter, he deposited a fixed amount into the account. The equation above models the amount, a, in dollars, that Leo has deposited after t weekly deposits. According to the model, how many dollars was Leo's initial deposit? (Disregard the $ sign when gridding your answer.) 5 6 8 9
According to the model, Leo's initial deposit was $0
According to the model, how many dollars was Leo's initial deposit?The model is given as
a = 18t + 5
When he makes his initial deposit, the value of t is
t = 0
i.e. this represents his balance before he starts saving on a weekly basis
Substitute 0 for t in the equation a = 18t + 5
So, we have
a = 18 * 0 + 5
Evaluate
a = 5
Hence, Leo's initial deposit was $0
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5- (x - 2)² for x = −1
Answer:
Its answer is -4..............
Answer:
Your answer is -4
Step-by-step explanation:
[tex]5 - (x - 2) { \\ }^{2} [/tex]
where x = -1
Therefore, p(-1) = 5 - ( (-1) - 2 )²
= 5 - (-3)²
= 5 - 9
= -4
Can someone help ????:)
Answer:
Step-by-step explanation:
1. 65,700. 65,740 65,743 65,743.2 65,743.18
2. 0 20 20. 19.7 19.74
3. 8,500. 8,460. 8,456 8,456.2 8,456.19
4. 300. 320. 318 318.3 318.28
a 3 gallon bottle of bleach costs 15.84. what is the price per cup
Answer: $0.33 per cup
15.84/3 to find the price per 1 gallon.
15.84/3 = 5.28 per gallon
There are 16 cups in a gallon, so divide the price of a single gallon by 16.
5.28/16 = price per cup
5.28/16 = .33
The price for each cup of bleach is $0.33.
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The line of reflection is the y-axis.
True
False
Answer: True :)
Step-by-step explanation:
What's the current temperature? 5 + (-12) = ?
Answer:
-7
Step-by-step explanation:
To add a positive number, 5, and a negative number, -12, take the absolute value of both numbers.
You get 5 and 12.
Subtract the smaller absolute value from the larger absolute value.
12 - 5 = 7
The sign of the answer is the same sign as the number that has the larger absolute value. The absolute of 5 is 5. The absolute value of -12 is 12. -12 has the larger absolute value, and -12 is negative, so the answer is negative.
5 + (-12) = -7
