Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get
[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]
[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]
On cross multiplication, we get
[tex]2\times x=6\times 3[/tex]
[tex]2x=18[/tex]
[tex]x=\dfrac{18}{2}[/tex]
[tex]x=9[/tex]
Therefore, the value of x is 9.
statement of pythagoras theorm no need proof only statement plz need fast
Answer:
Pythagoras Theorem: It is a basic relation in Euclidean geometry among the sides of a right-angled triangle. Pythagoras Theorem is commonly used to find the length of an unknown side in a right-angled triangle. It describes the interrelationship between the base, perpendicular and hypotenuse of a right-angled triangle. The converse of Pythagoras Theorem is used to check whether a triangle is a right-angled triangle or not
Step-by-step explanation:
Statement of Pythagoras Theorem
The Pythagoras Theorem states that in a right-angled triangle the sum of square of the base and square of the perpendicular is equal to the square of the hypotenuse.
Pythagorean theorem
In the right angled triangle there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem. this theorem States the square on the hypotenuse of a right angle triangle is equal to the sum of the squares on the remaining two sides.
Find the value of x in The parallelogram.
Answer:
122 degrees
Step-by-step explanation:
A parallelogram has 360 degrees in total
360 - (58 + 58) = 244
244/2 = 122
I hope this helped you!
Answer:
x = 122
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
x + 58 = 180 ( subtract 58 from both sides )
x = 122
PLEASE HELP! Math (recursive sequences)
Answer:
a₄ = 123
Step-by-step explanation:
a₁ = 1
a₂ = (1)² + 2
a₂ = 3
a₃ = (3)² + 2
a₃ = 11
a₄ = (11)² + 2
a₄ = 123
A bag contains three red marbles and two blue marbles.
(1.) What is the probability of reaching in and pulling out a red marble?
(2.) Chloe reaches in the bag, pulls out a marble, puts it back in the bag, and pulls out another marble. What is the probability that both marbles are blue?
(3.) Chloe reaches in the bag, pulls out a marble, does NOT put it back in the bag, then pulls out another marble. What is the probability that both marbles are blue?
Thank you
Answer:
1. 3/5
2. 2/5
3. 1/5
Step-by-step explanation:
I'm pretty sure this is the answer :)
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
Evaluate 5(x-1)-2when x=3
Answer:
3
Step-by-step explanation:
5(x-1)-2
5(2-1)-2
5×1-2
5-2
3
Hope this helps you :)
please mark brainliest
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)
Answer:
I think it is k(2,5) or k'(-2, -5
Step-by-step explanation:
Hope This Helps Have A Good Day
70% sure that it is K(2,5)
Help
Help
Help
Help
Help
Help
Answer:
105˚, 75˚
Step-by-step explanation:
<2 is 75˚ by same side angles of a transversal.
<1 is supplementary to <2 so 180-75 = 105˚
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
Which equation represents a line which is parallel to the line 7y-4x=-14
Answer:
sympathise or strategies
What is the common ratio for the sequence 1, 4, 16, 64,...?
1/4
1/2
2
4
Answer:
4
Step-by-step explanation:
each term is 4 times the previous term
the common ration is 4
Answer:
r = 4
Step-by-step explanation:
The common ratio r of the geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{1}[/tex] = 4
help guys pls i beg u cannot do the math this so hard someone help ☺️☺️☺️☺️☺️☺️☺️☺️
Question and choices are in the photo please explain the answer
Answer: The correct option is B.
Step-by-step explanation:
(x+5)(2x-1)=3(x+5)
Multiply the parentheses
2x^2 - x + 10x - 5 = 3x + 15
Collect like terms
2x^2 + 9x - 5 = 3x + 15
Move the expression to the left hand side and change its sign, then equate it to 0
2x^2 + 9x - 5 - 3x -15 = 0
Collect like terms
2x^2 + 6x - 20 = 0
Divide each term of the equation by 2
x^2 + 3x - 10 = 0
Rewrite the expression in factorized form
x^2 + 5x - 2x - 10 = 0
Factor the expression
x(x + 5) - 2(x + 5) = 0
(x + 5) (x - 2) = 0
Separate into possible cases but when the product of factors equals 0, at least one factor is 0.
x + 5 = 0———equation (1)
x - 2 = 0———-equation (2)
Solve the equations
x + 5 = 0———equation (1)
Make x the subject
x = 0 - 5
x = -5
x - 2 = 0———equation (2)
Make x the subject
x = 0 + 2
x = 2
Hence, the possible values of x are -5 and 2.
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)
How do I find RS? I've been having great trouble with questions like this recently.
Answer:
5
Step-by-step explanation:
We can solve by solving for x
2x-6 + 1 + x-4 = 18
3x-9=18
3x=27
x=9
Plug in 9 for x in Segment RS and you get (9) - 4 = 5
Hope this Helps!
Please Mark Me Brainliest!
:)
ok pls pls help !!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
everything can be found in the picture
bill changes £450 from his bank to $729 what exchange rate did he get?
Answer:
$1.62
Step-by-step explanation:
https://imgur.com/a/n3PRcMY
Step-by-step explanation:
hakdogg happyly ever after
solve for q: plz help
Answer:
-0.67 rounded to hundredths
Step-by-step explanation:
3×(q + 4/3) = 2
q + 4/3 = 2/3
q = -2/3 = -0.666666666666...
Solve the equation
3/4x+3-2x= -1/4+1/2x+5
Please help I have tried everything and I haven’t gotten the right answer and it won’t let me move on
If equation is x + y = 3 and x - y = 7 then the value of x will be?
A) 0
B) -3
C)-2
D)2
Its on the topic Simultaneous equations
Answer:
x = 5
Step-by-step explanation:
Add the equations
x + y = 3
x - y = 7
––––––––
2x = 10
Divide both sides by2
x = 5
Note: for the equations in the question,
none of the given answers are correct.
Engineers speculate that W, the amount of weight (in units of 1000 pounds) that a certain span of a bridge can withstand without structural damage resulting, is normally distributed with mean 400 and standard deviation 40. Suppose that the weight (again, in units of 1000 pounds) of a car is a random variable with mean 3 and standard deviation.3. Approximately how many cars would have to be on the bridge span for the probability of structural damage to exceed .1?
A. 106
B. 123
C. 120
D. 115
E. 117
Answer:
n = 116.2 ≈ 117
Option E) 117 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Exceed = 0.1
{ 1 - 0.1 = 0.9 }
normal table value at 0.9 = - 1.285
Normal table;
hence
( y - 400 ) / 40 = -1.285
y - 400 = -51.4
y = 400 - 51.4
y = 348.6
so,
348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]
348.6 = n.∈( X[tex]_i[/tex] )
we substitute
348.6 = n × 3
n = 348.6 / 3
n = 116.2 ≈ 117 { roundup since we talking of number of cars i.e sample size }
Option E) 117 is the correct answer.
add 4312base5 3444base5 qunary number please add qunary
9514 1404 393
Answer:
13311₅
Step-by-step explanation:
Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).
Continuing in this fashion gives the sum 13311₅.
__
If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...
4311₅ +4000₅ = 13311₅
_____
The base-5 addition table is attached.
what is the area of this rectangle?
Answer:
24 tiles^2
Step-by-step explanation:
Length = 6
width = 4
Area = Length x width
= 6 x 4
= 24 tiles^2
find the hight of the tree to the nearest hundredth of a meter
Answer:
4.12m
Step-by-step explanation:
(distance of whole shadow - distance of Aisha from tree)
17.95-12.5=5.45m
17.95/5.45=3.29...(scale factor)
3.29...*1.25=4.12m(to the nearest hundredth)
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?
Answer:
68°
Step-by-step explanation:
If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°
Answer:
68°
Step-by-step explanation:
Since angles B and D are opposite each other, they are supplementary.
Given this number line, ab=
Answer:
3
Step-by-step explanation:
7 -4 = 3
Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.
3.1 x 22 1/2 = 69.75 rounded is 70
Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______
Answer:
Volumen A = 30000 cm³
Volumen B = 35000 cm³
Volumen C = 72000 cm³
Step-by-step explanation:
a) Volumen A
Largo = 50 cm, Ancho = 30 cm Alto = 20 cm
Volumen = Largo × Ancho × Alto
= 50 cm × 30 cm × 20 cm
= 30000 cm³
b) Volumen B
Largo = 35 cm, Ancho = 20 cm Alto = 50 cm
Volumen = Largo × Ancho × Alto
= 35 cm × 20 cm × 50 cm
= 35000 cm³
c) Volumen C
Largo = 40 cm, Ancho = 60 cm Alto = 30 cm
Volumen = Largo × Ancho × Alto
= 40 cm × 60 cm × 30 cm
= 72000 cm³