Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answers
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
Related Questions
1/2x -5-1/3y when x =48 and y=15
Answers
20x=-58-2y
17x=-49-2y
Answers
Answer:
20x = -58 - 2y( Ans~ x= -29/11)
17x = -49 - 2y (Ans~ x = -49/19)
Step-by-step explanation:
(1) 20x = -58 2x
20x + 2x = -58
22x = -58
x = -29/11
(2) 17x = -49 - 2x
17x + 2x = -49
19x = -49
x = -49/19
U WELCOME!!
Answer:
y=1
x=-3
Step-by-step explanation:
20x=-58-2y
20x/20=(-58-2y)/20
x=(-58-2y)/20
17x=-49-2y
17x/17=(-49-2y)/17
x=(-49-2y)/17
(-58-2y)/20=(-49-2y)/17
17(-58-2y)=20(-49-2y)
-986-34y=-980-40y
add 40y to both sides
6y-986=-980
add 986 to both sides
6y=6
divide both sides by 6
y=1
substitute
20x=-58-2(1)
20x=-60
x=-3
Proof: (substituting x & y values in original equations)
20(-3)=-58-2(1)
-60=-60
17(-3)=-49-2(1)
-51=-51
4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of
butter last month, how much did it use this month? Explain or show your reasoning.
Answers
they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer
Write 383 in expanded form
Answers
Answer:
300 + 80 + 3
PLease mArk me brainliest
who wants a slushie ?
Answers
Answer:
i want a slushie what's your favorite slushie flavor
there are 20 girls and 16 boys in a classroom. complete the table of ratios below.
Answers
Answer:
The ratio of boys to girls is [tex]\frac{16}{20}[/tex]
The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Boys to girls:
There are 16 boys and 20 girls.
So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]
Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]
Girls to total students
There are 20 girls and 20 + 16 = 36 total students.
So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]
Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]
The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line
Answers
Answer:
Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
Step-by-step explanation:
Given that;
95% confidence interval for these parts is 56.98 to 57.05
[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )
Sample mean = 56.96
We know that;
If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.
But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.
Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).
Therefore, Stop the line of production since the sample mean (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]
Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?
Answers
Amy and Joey are situated on a circular track 400 feet around. Joey starts running at a rate of 10 feet per second. Amy waits for a full minute, then starts running from the same point (in the same direction) at 12 feet per second. How many seconds elapse before Amy passes Joey on the track?
Answers
Answer: 15 second
Step-by-step explanation:
Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
How many seconds elapse before Amy passes Joey on the track?Joey starts running at v₁ = 10 m/sec
Amy starts running at v₂ = 12 m/sec
we know that d = v [tex]*[/tex] t then t = d/v
Joey will take 400 / 10 = 40 seconds
Amy will take 400 / 12 = 33.33 seconds
To check Joey 10 [tex]*[/tex] 40 = 400
And the Amy 12 [tex]*[/tex] 33.33 = 333.3
That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.
Therefore, 12 seconds elapse before Amy passes Joey on the track.
To learn more about arithmetic operations
https://brainly.com/question/1098659
#SPJ2
helpsjdjdjdjcjcjfjfjfjcjfjfjxjff
Answers
Answer:
that is right what u have right there
Step-by-step explanation:
4.0681 to the nearest thousand
Answers
The slope and y-intercept of the equation y – 5x = 7.
Graph points
Answers
Answer:
The slope is 5
the y-intercept is (0,7)
Step-by-step explanation:
A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answers
Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
help me out
14 < n - 22
Answers
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
Given the rectangle ABCD, find measure of angle EFH, measure of angle FEH. Also find, HI and GE.
HF= 36
measure of angle HFG = 30
Answers
FEH=90
GE=36
HI=18
I honestly am not sure if these are 100% correct but I think they are. I’m very sorry if they aren’t
identify the function of the transformation
Answers
What is 264*675+1239-56+887
Answers
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
Solve each system of equations using any method.
y = 5x +7
y = 4x - 3
Answers
Answer:
x= -10
y= -43
Step-by-step explanation:
since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3
and than you can just start with the variables OR numbers and then simplify
5x+7=4x-3
5x+10=4x
10= -x
x= -10
so -10 for x
plug it in to one of your 2 equations to get y
5(-10)+7= y
-50+7=y
y= -43
The function f is defined by the following rule.
Find f(x) for each x-value in the table.
Answers
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{6})^x[/tex]
Required
Complete the table
When x = -2.
Substitute -2 for
[tex]f(-2) = (\frac{1}{6})^{-2[/tex]
[tex]f(-2) = 1/\frac{1}{36}[/tex]
[tex]f(-2) = 36[/tex]
When x = -1
[tex]f(-1) = (\frac{1}{6})^{-1[/tex]
[tex]f(-1) = 1/\frac{1}{6}[/tex]
[tex]f(-1) = 6[/tex]
When x = 0
[tex]f(0) = \frac{1}{6}^0[/tex]
[tex]f(0) = 1[/tex]
When x = 1
[tex]f(1) = \frac{1}{6}^1[/tex]
[tex]f(1) = \frac{1}{6}[/tex]
When x = 2
[tex]f(2) = \frac{1}{6}^2[/tex]
[tex]f(2) = \frac{1}{36}[/tex]
13.6z - 11 = -1.48.
can u please show the work for it
Answers
Step-by-step explanation:
13.6z - 11 = -1.48.
13.6z=-1.48+11
z=9.52/13.6=0.7
18 = 3 (3x - 6) help please!
Answers
Answer: 4
Step-by-step explanation:
What is the solution to the system of equations below?
x = 5y - 2 AND 3x - 4y = 27 *
Answers
Answer:
x = 13, y = 3
Step-by-step explanation:
3(5y - 2) - 4y = 27
15y - 6 - 4y = 27
11y = 33
y = 3
x = 15 - 2
x = 13
Two of the angles are 90 degrees and 40 degrees. What is the measure of the missing angle? *
Enter only a two digit number.
Answers
what is B? b-1/4=3 1/2
Answers
Answer:
hello! :) have a good day!
Exact Form:
b =15/4
Decimal Form:
b =3.75
Mixed Number Form:
b =3 3/4
What is the value of x in the equation 3×=1
Answers
Answer:
x=1/3
Step-by-step explanation:
Tell whether a triangle can have the given angle measures. 5 2/3∘, 64 1/3∘, 87∘
Answers
sooo
5 2/3+64 1/3+87 = 157
that aint right- a triangles angles has to add up to 180
this triangle b trippin
What are the next three terms in the following sequence 3 6 12 24 plz help
Answers
Answer:
3 6 12 24 48 96 192
Step-by-step explanation:
The answer is 48 96 192
Answer:it equals 96 hope this helps
Step-by-step explanation:
Pls help I’ll brainlest for the right answer
Answers
Answer:
29110.87
Step-by-step explanation:
mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together
What is BD? BC=x DC=x+5
Answers
Answer:
BD is just equal to the sum of BC and CD.
So we have: BD = x + x + 5
Simplifying, we have BD = 2x+5
Let me know if this helps!
Which represents the inverse of the function f(x) = 4x?
O h(x) = X + 4
• h(x) =X- 4
O h(x) = =x
O h(x) = ÷x
PLEASEE HELP
Answers
Answer:
f^(-1) = x/4
Step-by-step explanation:
1. Starting with f(x) = 4x, replace 'f(x)' with y: y = 4x
2. Interchange x and y: x = 4y
3. Solve for y: y = x/4
4. Replace this y with 'f^(-1) = ": f^(-1) = x/4
