Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which values could represent the side lengths of triangle DEF
Answer:
[tex]A = 15[/tex] [tex]B = 20[/tex] [tex]C = 25[/tex]
[tex]D = 30[/tex] [tex]E = 40[/tex] [tex]F = 50[/tex]
[tex]D = 3[/tex] [tex]E = 4[/tex] [tex]F = 5[/tex]
Step-by-step explanation:
Given
Similar Triangles: ABC and DEF
[tex]A = 15[/tex]
[tex]B = 20[/tex]
[tex]C = 25[/tex]
Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.
[tex]D = A * n[/tex] [tex]E = B * n[/tex] [tex]F = C * n[/tex]
Where
[tex]n = Scale\ Factor[/tex]
Assume n = 2.
So, we have:
[tex]D = A * n[/tex]
[tex]D =15 *2[/tex]
[tex]D = 30[/tex]
[tex]E = B * n[/tex]
[tex]E = 20 * 2[/tex]
[tex]E = 40[/tex]
[tex]F = C * n[/tex]
[tex]F = 25 * 2[/tex]
[tex]F = 50[/tex]
Assume [tex]n = \frac{1}{5}.[/tex]
So, we have:
[tex]D = A * n[/tex]
[tex]D =15 *\frac{1}{5}[/tex]
[tex]D = 3[/tex]
[tex]E = B * n[/tex]
[tex]E = 20 * \frac{1}{5}[/tex]
[tex]E = 4[/tex]
[tex]F = C * n[/tex]
[tex]F = 25 * \frac{1}{5}[/tex]
[tex]F = 5[/tex]
So, the possible sides are:
[tex]A = 15[/tex] [tex]B = 20[/tex] [tex]C = 25[/tex]
[tex]D = 30[/tex] [tex]E = 40[/tex] [tex]F = 50[/tex]
[tex]D = 3[/tex] [tex]E = 4[/tex] [tex]F = 5[/tex]
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the hleadphones
Define the variable:
Inequality:
Solution:
Answer:
15 cars
Step-by-step explanation:
240-30=210
210/14=15 cars
Answer:
13 it's 13 its 13 its 13 its 13 its 13
is the relationship between the number of sides of a polygon and the interior angle sum of the polygon proportional
What do you mean?
(sides - 2) x 180, for the sum of the interior angle
sum of interior/ sides, for the interior angle
FIRST PERSON TO ANSWER WILL GET BRAINLIEST
Emma bought a sweater that was 20% off. She paid $36 for the sweater, What was the original cost of the sweater?
Please hurry!
Answer:
$45
Step-by-step explanation:
let's work backwards. We know that it was 20% off, or otherwise 80% of the original cost. Let's represent the original cost with x:
0.8x = 36
Now we solve for x by dividing both sides by 0.8:
x = 45
Thus, the sweater was originally $45
Answer:
i hope i helped i wasnt sure how to answer
Step-by-step explanation:
The number of students in a chess club decreased from 45 to 17. What is the percent decrease? Round
your answer to the nearest percent.
The percent decrease is
1%.
Answer:
original price =45
change in price=45-17= 28
precentage decrease = original price/change in price x 100
= 28 /45x 100
= 62.22%
What is the length of diagonal BD?
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
What is the decimal equivalent of 1/5?
Answer:
.2
Step-by-step explanation:
Answer:
.20
Step-by-step explanation:
1 divided by 5 is .20
A binary operation (+)is defined on the set R of real numbers by a(+)b=a2+b2 -ab for all a,b,e,r solve the equation 4(+)a=28
Answer:
m,
Step-by-step explanation:
Need help will give brainliest
Answer:
3.5
Step-by-step explanation:
The constant rate of proportionality, k, is expressed as [tex]k = \frac{y}{x}[/tex], and shows that two quantities are proportional to each other. In this logic, rearranging this in terms of y gives us:
[tex]y = kx[/tex]
Thus we can determine that k is 3.5, in this case.
The diagram shows a wedge in the shape of a prism angle BCF is a right angle A string runs diagonally across the wedge from Ato F Calculate the length A F Give your answer correct to 3 significant figures
Answer:
19.3 cmStep-by-step explanation:
Use Pythagorean theorem to calculate:
BF = √11² + 5² = √121+25 = √146Same method for FA, the diagonal of rectangle ABFE
FA = √15² + 146 = √225+146 = √371 = 19.3 cm rounded up to 3 significant digitsSolve the system using substitution.
2x = 5y + 14
x = 5y
Answer:
y = 2.8x = 14Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
-5/8+w=5/8
Solve thank you !
Answer:
Hey:D
Step-by-step explanation:
w=5_4 5 ontop 4 in the bottom
Answer:
w=5/4
Step-by-step explanation:
what's the value of (-8)(2/3)
Answer:
-5.3
Step-by-step explanation:
I'm not really sure if thats the answer but i try
Answer:
5.33333333333
What product does the model show? (See The Picture) (80 points)
Answer:
1040
Step-by-step explanation:
(10+4)×(20+6)=14×26
A sample of oxygen gas occupies a volume of 2.50 L at 98.6 kPa pressure. What volume will
it occupy at 164 kPa pressure?
0.5
1.5
3.0
04.5
Solve for y:-4x+2y=6
Step-by-step explanation:
just going tell u to use math
way
Answer: B
Step-by-step explanation:
-4x + 2y = 6 add 4x to both sides
+4x +4x
2y = 4x + 6 Divide both sides by 2
y = 2x + 3
Grayson just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 12 inches. Make a table of values and then write an equation for L,L, in terms of t,t, representing the length of the candle remaining unburned, in inches, tt hours after the candle was lit.
Can y’all plz help me ?
Answer:
x=-5
Step-by-step explanation
The first box has eight x's and six 1's which means that it would be written as 8x+6
The second box has four x's and fourteen -1's which means that it would be written as 4x-14
You set them equal to one another
8x+6=4x-14
You subtract 4x from both sides
4x+6=-14
Subtract 6 on both sides
4x=-20
Divide 4 on both sides
x=-5
Hope it helps :))
Which capital letters in ISOSCELES produce the same letter after being rotated 180° in the plane of the page?
Answer:
S...
Step-by-step explanation:
Because letter S is the last letter
what is a triangle that can measure 8 inches, 8 inches, and 3 inches
Answer:
We can form an isosceles triangle by using the given measures.
Step-by-step explanation:
Hope this helps!! :)
Find the value of x.
2x
80
27
60
X =
Answer:
x = 18
Step-by-step explanation:
The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{80}{80+2x}[/tex] = [tex]\frac{60}{60+27}[/tex] = [tex]\frac{60}{87}[/tex] ( cross- multiply )
60(80 + 2x) = 6960 ← divide both sides by 60
80 + 2x = 116 ( subtract 80 from both sides )
2x = 36 ( divide both sides by 2 )
x = 18
Number 10 plsss help mee
Answer:
5.25
Step-by-step explanation:
f(x)=7x
then x=0.75
7x0.75=5.25
so f(x) or fx = 5.25
how do i solve this?
Answer: this is hard I hate math sorry
Step-by-step explanation:
:(
A rectangular dining room has a floor area of 322 square feet. If the length of the room is 23
feet, what is the perimeter?
Answer:
The answer is 173.22
Step-by-step explanation:
Whats the equation and slope Brainlyest to whoever gets right + 20 PTS
Answer:
Equation: y = 1/5x - 2
Slope (m): 1/5
The graph of the line equation y = 1/5x - 2 is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the ordered pairs
(5, -1)(-5, -3)Finding the slope between the points (5, -1) and (-5, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-3\right)[/tex]
[tex]m=\frac{-3-\left(-1\right)}{-5-5}[/tex]
Refine
[tex]m=\frac{1}{5}[/tex]
Thus, the slope (m) = 1/5
Also given that the y-intercept b = -2
Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form
y = mx+b
y = 1/5x + (-2)
y = 1/5x - 2
Therefore, the equation of the line is:
y = 1/5x - 2The graph of the line equation y = 1/5x - 2 is also attached below.
What is the surface area of a cylinder with base radius 3 and height 8?
Answer:
A=A(base)+A(lateral)
Step-by-step explanation:
A=A(base)+A(lateral)
A=pi*3^2+2*pi*3*8=179.07
Which number can be used as a common denominator for the fractions 1/4 and 5/6? Check all that apply.
[] 2
[] 6
[] 12
[] 16
[] 24
tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for Pi.
23.55 in.
46.10 in.
47.1 in.
94.2 in.
Answer:
The correct option is C. 47.10 inches
Step-by-step explanation:
Diameter of the tire rim is given to be 15 inches
So, The radius of the tire rim will be 7.5 inches
Now, we need to find the circumference of the tire rim
And, The circumference of the tire rim is given by the formula :
Circumference = 2·π × radius
⇒ Circumference of the tire rim = 2 × 3.14 × 7.5
⇒ Circumference of the tire rim = 47.1 inches
Therefore, The correct option is C. 47.10 inches
3x + 2y = 4
4x + 3y = 7
Solve.
12 1 / 2 - (- 4 1/2) =
Answer:
17
Step-by-step explanation:
Answer:
The answer is 17