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The triangles △ABC and △DEF are similar.
Which set of measurements prove that the two triangles are similar?
The two triangles are similar if the ratio of the corresponding sides are equal.
What is ratio?Ratio is a mathematical comparison of two or more quantities expressed as a fraction. A ratio can be expressed as a fraction, a decimal, or in the form of words. Ratios are used to compare items or quantities in a variety of different contexts, from mathematics and science to business and daily life. For example, a ratio of 2:1 indicates that for every two items, there is one of the same item.
This means that the ratio of side AB to side DE must be equal to the ratio of side BC to side EF, and the ratio of side AC to side DF must be equal to the ratio of the remaining sides.
For example, if side AB is 10 cm and side DE is 5 cm, then side BC must be 10 cm and side EF must be 5 cm for the two triangles to be similar. Similarly, if side AC is 8 cm and side DF is 4 cm, then the remaining sides must be 8 cm and 4 cm respectively.
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Which of the following is the quotient of the rational expression 4x/2x-1 divided by 3x+2/x+5
Answer:
Step-by-step explanation:
Answer:
4x^2+20x/6x^2+x-2
Step-by-step explanation:
I'm cracked
0.92857142857 as a fraction
Answer:
92857142857/100000000000
Step-by-step explanation:
There are 11 numbers so add 11 zeros
The value of the number 0.92857142857 as fraction is given by the equation A = 92857142857 / 100000000000
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction be represented as A
Now , the equation will be
Let the number be represented as n
The value of n = 0.92857142857
Substituting the values in the equation , we get
Rewrite the decimal number as a fraction with 1 in the denominator
So , A = 0.92857142857 / 1
Multiply to remove 11 decimal places. Here, you multiply top and bottom by 10¹¹ = 100000000000
On simplifying the equation , we get
A = 92857142857 / 100000000000
Hence , the fraction is 92857142857 / 100000000000
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for the function f(x)=x^2-5x+6, where is the y-intercept?
what number do we use to replace the (a) a-(-19)= -12
Answer:
-31
Step-by-step explanation:
We write the equation out
[tex]a-(-19)=-12[/tex]
Distribute the -1
[tex]a+19=-12[/tex]
Subtract the 19 on both sides
[tex]a=-31[/tex]
6х +8y - 9x + 2y
helpp
Answer: -3x+10y
Step-by-step explanation:
Just add the like terms
6x-9x=-3x
8y+2y=10y
The equation then simplifies to -3x+10y
angeline would like to make 8 identical bowls for a gift to her family. each bowl required 3/4 lbs. of clay. the clay is sold in 5 bl. blocks. how many will she need to buy
Answer: 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
8 × .75 = 6lbs
she'd need 6lbs so she'd buy two bags of 5lbs
What is the approximate diameter of a sphere with a volume of 268 cm3
Answer:
d≈8cm
Step-by-step explanation:
Answer:
8cm
Step-by-step explanation:
Ap3x
Does anyone know how to do 2b)???? Please help!!
Answer:
Step-by-step-explanation:
Answer:
Step-by-step explanation:
Now to find the x values for which r(x) = 1/4 hence ,
we will use the given function of r(x),
its given in image the solution, please
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The scale of a model car is 1 inch to 6.5 feet. What is the length, in feet of the actual car, if the model is 6 inches?
Answer:
39 feet
Step-by-step explanation:
for every 6.5 feet there is one inch
so you multiply the amount of inches by 6.5
6.5 x 6 = 39
Answer:
39
Step-by-step explanation:
Order the following numbers from least to greatest.
Put the lowest number on the left.
-61 , -40 , -85 , -21
Step-by-step explanation:
-21 -40 -61 -85
because negative numbers are the same as positive numbers. imagine it like this
-3 -2 -1, 0, 1, 2, 3
what is the answer to this equation -12= -3y
y=4
Step-by-step explanation:
[tex]\tt{-12=-3y }[/tex] ⠀
[tex]\tt{ y=\dfrac{-12}{-3} }[/tex] ⠀
[tex]\tt{y=4 }[/tex] ⠀
PLEASE HELP I HAVE 20 MINUTES BEFORE I HAVE TO SUBMIT THIS!!!!!!!
show where to place parentheses in the expression so that the value is 31;
4 + 3^2 • 5 - 2
look at the pic and please help me
Answer:
so 8 squared is 64 but when you do 2 cubed its 8
is this what you wanted?
The slope of a direct variation function is -4. What is the equation of the function?
y = 4 x
y = - 1/4 x
y = -4 x
y = x - 4
Answer:
y = -4 x
Step-by-step explanation:
In a basketball game, Ty'rik make 20 of 28 baskets. What percentage of the shots did he make? Round to the nearest whole number. A. 20% B. 28% C. 1% D71%
Step-by-step explanation: depending on where he made the shots imma have to go wit B
HELP DUE IN 20 MINUTES AND I HAVE MORE TO DO!!!!
Answer:
12 5/8 ft
Step-by-step explanation:
13 - 1 = 12
7/8 - 1/4 = 5/8
=12 5/8
Find the prime factorization of the number.
22
The prime factorization
Answer:
Step-by-step explanation:
22 into 2 and 11
2 is already prime and 11 is already prime
HURRY PLEASE WILL MARK BRAINLIEST!!!!!!
Answer:
A+B/2
10*19=190
190/2= 95
Step-by-step explanation:
Find the measure of angle x in the figure below:
Answer:
80⁰
Step-by-step explanation:
45+55
180-100=80
Find the slope of the line that goes through the two points.
(6,7) (-2,11)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is (y2-y1)/(x2-x1).
Plug in the values given in the problem
(11-7)/((-2)-6)
Then simplify
4/(-8)=-1/2
What triangle doesn’t belong?
Answer: B does not belong with the others. The others are all right triangles, while B is an obtuse triangle. It might be wrong if they're looking for something different though.
Step-by-step explanation:
Please help? 5) 120 = 4(-6+6n)
Answer:
n=6
Step-by-step explanation:
2(x+1.25)=3,5
Find x
Step-by-step explanation:
[tex]\tt{2(x+1.25)=3.5 }[/tex] ⠀
[tex]\tt{ 2x+2.5=3.5 }[/tex] ⠀
[tex]\tt{ 2x=3.5-2.5 }[/tex] ⠀
[tex]\tt{2x=1 }[/tex] ⠀
[tex]\tt{ x=\dfrac{1}{2}=0.5 }[/tex] ⠀
Oder the least to greatest: -3, -10, -1 please helppp
From least to greatest: -10, -3, -1
Anya’s team won 5 out of every 7 games this season.
If the team played 28 games this season, how many games did they win?
Answer:
20 games
Step-by-step explanation:
if anya one 5/7 games with a total of 28 games that means 5/7=x/28
5 times 4 = 20
4 times 7=28
so they one 20 games
Answer:
20
Step-by-step explanation:
you would times 5 by 4 to get 20 won games of the season
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Answer:
4 pairs.
Step-by-step explanation:
Shin guards-$8.58
7 pairs of socks-$4.29
Pays-$25.74
Let's express following equation:
[tex]$25.74=8.58+4.29x[/tex]
x will be the pairs of socks.
[tex]25.74-8.58=4.29x[/tex]
[tex]x= 17.16{}/ 4.29{}{}[/tex]
[tex]x=4[/tex]
SO she bought 4 pairs of socks.
Hope this helps :)
6. The base of a triangular field is three times its height. If the cost of cultivating the field
at 36 per hectare is? 486, find its base and height (1 hectare = 10000 m²).
Answer:
base = 519.62, height = 173.21 m
Step-by-step explanation:
Let the base and height of the triangle be represented by b and h respectively.
Thus,
b = 3h
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
For the given triangle,
area = [tex]\frac{1}{2}[/tex] x b x 3h
= [tex]\frac{3}{2}[/tex]bh
Area of the triangle = [tex]\frac{3}{2}[/tex]bh
To determine the number of hectares,
36 per hectare = 486
hectare = [tex]\frac{486}{36}[/tex]
= 13.5
numbers of hectares = 13.5
Area of the hectares = number of hectares x 10 000 m²
= 13.5 x 10 000
= 135000
Total area of the hectares = 135 000 m²
So that,
area of the hectares = area of the triangle
area of the triangle = [tex]\frac{3}{2}[/tex]bh
135 000 = [tex]\frac{3}{2}[/tex]bh
270000 = 3bh
bh = [tex]\frac{270000}{3}[/tex]
= 90000
bh = 90000
But, b = 3h
3h x h = 90000
3[tex]h^{2}[/tex] = 90000
[tex]h^{2}[/tex] = [tex]\frac{90000}{3}[/tex]
= 30000
h = [tex]\sqrt{30000}[/tex]
= 173.2051
h = 173.21 m
So that,
b = 3 x 173.2051
= 519.6153
b = 519.62
Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.
2) Find the degree of the following polynomials
a) x+3x+2
What is the area of the shape shown above
Answer:
the area is 286
pls mark as brainlist
Answer:
476 ft^2
Step-by-step explanation:
Area of the square:
Formula: L x W
13 x 22 =
286
Area of Semi-Circle:
Formula: 1/2(πr^2 )
1/2 (π11^2)
=190
Area of square + Area of Semi Circle
=476 ft^2