![Find The Value Of "x" From The Given Figure...[tex]....................[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/aVZJ9Vr04aDRH0GtQabryA9sPPTSRmjg.jpeg)
Answers
Answer:
x = 21 cmStep-by-step explanation:
is a rhombus formed by 4 right triangles, let's consider the small / large couple
the triangle at the top and the triangle at the bottom are rectangles
we can solve with the Pythagorean theorem.
we find the side (cathetus) of the small onec² = 10² - 8²
c² = 100 - 64
c² = 36
c = √36
c = 6 cm
we find the side (cathetus) of the largestc² = 17² - 8²
c² = 289 - 64
c² = 225
c = √225
c = 15 cm
now we add the results and we have x6 + 15 =
21cm
Answer:
21 cm
Step-by-step explanation:
Let M be the point of intersection of the diagonals AD and BC.
[tex]\implies x=\sf AD=AM+MD[/tex]
As ΔAMD and ΔBMD are right triangles, use Pythagoras Theorem to work out the lengths of AM and MD.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse (longest side) of the right triangle.[tex]\begin{aligned}\implies \sf BM^2+AM^2 & =\sf AB^2\\\sf 8^2+AM^2 & = \sf 10^2\\\sf 64+AM^2 & = \sf 100\\\sf AM^2 & = \sf 100-64\\\sf AM^2 & = \sf 36\\\sf AM & = \sf \sqrt{36}\\\sf AM & = \sf 6\:\: cm\end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf BM^2+MD^2 & =\sf BD^2\\\sf 8^2+MD^2 & = \sf 17^2\\\sf 64+MD^2 & = \sf 289\\\sf MD^2 & = \sf 289-64\\\sf MD^2 & = \sf 225\\\sf MD& = \sf \sqrt{225}\\\sf MD& = \sf 15\:\: cm\end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies x & =\sf AM+MD\\x & = \sf 6+15\\x & = \sf 21\:\:cm\end{aligned}[/tex]
So the value of [tex]x[/tex] from the given figure is 21 cm.
Related Questions
How many revolutions will a bicycle wheel of diameter 26 inches make as the bicycle travels a distance of 4miles?
Answers
Answer:
about 3103
Step-by-step explanation:
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.
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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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.
Answers
Answer:
9 9 years 9999999999999
2 plus the cube of a number.
Answers
Answer:
2+[tex]x^{2}[/tex]
Step-by-step explanation:
Converted from word to standard form.
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.
Answers
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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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 ___
Answers
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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Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches
he makes:
Answers
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
The line of reflection is the y-axis.
True
False
Answers
Answer: True :)
Step-by-step explanation:
A scientist uses a submarine to study ocean life.
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your
answer to the nearest tenth.
Answers
The Rate of the change of position per second is 23 feet.
According to the statement
We have to find that the rate of the change of the position in the sea level.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
She begins 133 feet below sea level.
After descending for 4 seconds, she's 225 feet below sea level.
Then
Rate of the change of position is = final position - initial position / time
Rate of the change of position is = 225 - 133 / 4
Rate of the change of position is = 92 / 4
Rate of the change of position is = 23.
So, The Rate of the change of position per second is 23 feet.
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???????????????????????
Answers
I’ll give brainless to the right answer
Answers
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?
Answers
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.
please help
maths geometry
(you can’t use congruency)
Answers
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.
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?
Answers
Answer: 6.83
Step-by-step explanation: 34.18 - 6.86 = 27.32 /4 = 6.83
Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's age.
Answers
Answer:
Ashleys age is 28.
Step-by-step explanation:
When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.
100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25. So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)
Good Luck and hope this helped! <33
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
Answers
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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Find the slope of (8,9) and (23,9)
Answers
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.
Can someone help ????:)
Answers
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
please help
maths geometry 2
Answers
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.
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
Answers
Answer:
5
Step-by-step explanation:
Hop the spaces from 1 until you reach to 6 and you get 5 hops
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.
Answers
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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a 3 gallon bottle of bleach costs 15.84. what is the price per cup
Answers
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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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
Answers
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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Identify the intercepts
Answers
(5,0)
(-5,0)
y
(0,3)
(0,-5)
5- (x - 2)² for x = −1
Answers
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
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?
Answers
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
Work out the equation of the line passing through (0, -1) and parallel to the line y = 2x + 4.
Answers
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
What number should be added to -28 to make the sum 0? (5 points) 28 -28 27 0
Answers
Answer:
28
Step-by-step explanation:
-28 + 28 = 0
answer for
D=
E=
F=
Answers
Find a pair of real number whose sum and product are both 12
Answers
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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