If ABC is similar to DEF, the sides of ABC must be congruent to the corresponding sides of DEF.
Answers
the angles should be congruent
sides should be dilated by a scale factor
Answer:
Option B. False
Step-by-step explanation:
If triangle ABC is similar to DEF then for the similarity of these triangles all angles should be similar or same.
In addition to the angles their corresponding sides should be in the same ratio, in other words sides should be dilated by a scale factor.
Therefore the given statement is false.
Option B. False is the answer.
Related Questions
Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135. What is her new balance?
Answers
heres my math
750-150-135=435
750-150
Than she has a debit transaction of 135, so you subtract
600-135 giving you 465
What is the perimeter of AEB
Answers
18.5 ft
Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft
Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft
Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft
Hope this helps :)
Answer:
18.5 ft
Step-by-step explanation:
Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft
Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft
Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft
Hope this helps :)
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What is the rule of 5832,blank,648,216,72,blank,8
Answers
Can someone please help me on this one please? Thanks
Answers
If you want to work it by hand, convert all mixed numbers to improper fractions. Then multiply the numerator by the reciprocal (inverse) of the denominator.
= (5/2)/(5/8) . . . . convert numerator to improper fraction
= (5/2)*(8/5) . . . . invert the denominator and multiply
= (5/5)*(8/2) . . . . rearrange to aid simplification
= 4
The quotient is 4.
Canada is the king of the doughnut world, as it has more doughnut shops per capita than any other country in the world. Tim Hortons, the most popular doughnut joint in Canada, had 3660 locations in Canada in 2015. If the population of Canada was approximately 35.75 million citizens in 2015, what was the number of Tim Hortons stores per capita in Canada in 2015?
Express your answer in scientific notation rounded correctly to three decimal places.
Answers
Per capita means the number of schools per person. There are more people than stores, so the number must be lower than 1.
To find the rate, we divide the total number of stores by the population.
3660 / 35750000 = .0001024 = 1.024 x 10^-4
Answer:
Number of Tim Hortons stores per capita is [tex]1.024\times 10^{-4}[/tex]
Step-by-step explanation:
Canada is having more doughnut shops per capita than any other country in the world means availability of Horton's store per person are more.
Number of Hortons stores in Canada = 3660
Population of Canada in 2015 = 35.75 million
In scientific notation population = [tex]35.75\times 10^{6}[/tex]
Now stores per person = [tex]\frac{3660}{35.75\times 10^{6}}[/tex]
(To calculate stores per capita we will divide number of stores by population of Canada)
Stores per capita = [tex]102.377\times 10^{-6}=1.024\times 10^{-4}[/tex]
So the answer is [tex]1.024\times 10^{-4}[/tex]
What is 27006 ÷ 42???
Answers
I don't quite remember how to do this check up
Answers
a) account balance: $208.12, so interest earned = $8.12
b) account balance: $1040.60, so interest earned = $40.60
c) account balance: $83,248.32, so interest earned = $3,248.32
_____
The compound interest multiplier for one year is (1 +r/n)^n, where r is the annual rate and n is the number of compoundings in a year. For this problem, you have r=.04, n=4.
marta ha comprado una bicicleta que costaba 280 € pero le han hecho una rebaja del 15°/• cuanto ha pagado
Answers
The original price was €280, but the price was discounted by 15%.
15% = 15/100 = 0.15.
15% of 280 is 0.15(280) = 42
This means the price was cut by €42.
280-42 = €238
The measure of angle QPR = ??? degrees
Answers
0.4 divided by -5/8 or -5/8xN=0.4 BUT LOOKING FOR N
Answers
Answer:
-0.64
Step-by-step explanation:
0.4 ÷ ([tex]-\frac{5}{8}[/tex]) = N
[tex]0.4 * -\frac{8}{5} [/tex] = N
N = -0.64
What is x- and y- intercept of -7x + 2y= 14
Answers
15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 toddlers drink water with their lunch? (a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table model, that’s fine too!) and label the “part,” “whole,” and “percent.”
Answers
To solve this problem, you can use the percent proportion. I set it up below and then solved it.
part/whole = percent/100
3/x = 15/100
Cross multiply and divide to solve.
15x = 300
x = 20
There are 20 toddlers in the class.
How is the expression (3 + y) ⋅ 7 described by its factors and terms?
A: It has two factors and the factor (3 + y) has one term.
B: It has three factors and the factor (3 + y) has one term.
C: It has two factors and the factor (3 + y) has two terms.
D: It has three factors and the factor (3 + y) has two terms.
i will give you brainiest if right.
Answers
First of all, there are two factors in the problem. They are the 2 things being multiplied together. They are 7 and (3 + y).
Second, there are two terms in the factor (3 + y). Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
First of all, there are two factors in the problem.
They are the 2 things being multiplied together. They are 7 and
(3 + y).
What is the factors?A divisor of an integer n also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
Second, there are two terms in the factor (3 + y).
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
Therefore option C is correct.
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An airplane flying at an altitude of 31,000 feet when it begins its descent for landing. If the runway is 104 miles away, at what angle does the airplane descend?
Answers
graph the linear equation find three points that solve the equation then plot on the graph -3y=-x-7
Answers
[tex] - 3y = - x - 7 \\ y = \frac{1}{3} x + \frac{7}{3} [/tex]
[tex] \binom{ - 1}{2} \: \: \: \: \: \: \binom{2}{3} \: \: \: \: \: \: \binom{5}{4} [/tex]
this is the line
Answer: (-7,0) (2,3) (5,4)
Step-by-step explanation:
How to do a fraction paper
Answers
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answers
We have m = 3, [tex]x_1 = 5[/tex], and [tex]y_1 = 10[/tex].
We plug in these values to get
[tex]y-10=3(x-5)[/tex].
We now rearrange to get this into slope-intercept form, [tex]y=mx+b[/tex], by solving for y.
[tex]y=3(x-5)+10\\y=3x-15[/tex]
y = 3x - 5
Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope is 3. Therefore, the equation now is:
y = 3x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (5,10) in the equation and solve for c as follows:
y = 3x + c
10 = 3(5) + c
10 = 15 + c
c = 10 - 15
c = -5
Based on the above, the equation of the line is:
y = 3x - 5
Hope this helps :)
I need help on 4, 5 :)
Answers
You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?
Answers
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.
The rectangle has sides of length x and 32 - x.
The area of the rectangle is
A = LW
A = x(32 - x)
A = 32x - x^2
y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.
32x - x^2 = 0
(32 - x)x = 0
32 - x = 0 or x = 0
x = 32 or x = 0
Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.
At x = 16, you get maximum area.
Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.
Since all sides turned out to have length 16 ft, the rectangle is a square.
Answer: The maximum area is enclosed by a square with side 16 ft.
The table shows some ingredients in lasagna. If you make three times the recipe how many cups of cheese are needed. Can you please help me this is my homework for tomorrow
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Can someone please factor this out for me and explain how you do it? 9x^2+30xy+25y^2
Answers
estimate the quotient of 88.9 ÷ 15.1
Answers
88.9 is close to 9015.1 is close to 15The idea of an estimate is to do the math without a calculator. 90 / 15 is roughly 6.
There is something I should say that is critical. If you figure out the exact answer of 5.88, you are likely going to get it wrong. This question asks you to round before you do a division. That's what estimate means.
Answer:
My answer is a because the the actual answer is 5.88741721854 but you said round it and i did it to 6 so yeah there is my answer. brainliest please
Step-by-step explanation:
43 + (x -7) =90 find the value of x
Answers
Subtract 36 (-43 +7) from each side
x = 54
43x - 301 = 90
+301 +301
43x = 391
43 43
x = 9.09 or 9
I hope this helps :)
Coral created a painting that was 4 1/3 ft long and 1 1/3 ft wide.
What was the area of Coral's painting?
Express your answer in simplest form.
A.
ft²
B.
ft²
C.
ft²
D.
ft²
Answers
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
Answers
To start we can write the following two expressions for her expenses.
8.5 + 62.5m and 12 + 3.75m
Then, adding the two expressions together will give us a combined expression of: 10m + 20.5
Total amount of money Sabra spends on both clubs = 20.50 + 10m
Amount paid to join the cooking club = $8.50
Monthly payment at the cooking club = $6.25
Payment for m months at the cooking club = 6.25m
Total money paid at the cooking club = 8.50 + 6.25m
Amount paid to join the movie club = $12
Monthly payment at the movie club = $3.75
Payment for m months at the movie club = 3.75m
Total money paid at the movie club = 12 + 3.75m
Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club
Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m
Total amount of money Sabra spends on both clubs = 20.50 + 10m
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what is the value of z, rounded to the nearest tenth? use the law of sines to find the answer.
A) 2.7 units
B) 3.2 units
C) 4.5 units
D) 5.3 units
Answers
[tex]\sf\dfrac{sin(X)}{x}=\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}[/tex]
We know what angle Y is and what side y is, so let's use that along with angle Z and side z:
[tex]\sf\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}[/tex]
Plug in what we know:
[tex]\sf\dfrac{sin(51)}{2.6}=\dfrac{sin(76)}{z}[/tex]
Multiply 'z' to both sides:
[tex]\sf\dfrac{sin(51)}{2.6}z=sin(76)[/tex]
Divide sin(51)/2.6 to both sides:
[tex]\sf z=\dfrac{sin(76)(2.6)}{sin(51)}[/tex]
Plug it into your calculator.
[tex]\boxed{\sf z\approx 3.2}[/tex]
The value of z is 3.2 units.
What is the law of sines?
The law of sine or the sine law states that the proportion of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is additionally known as the sine rule.
For a triangle ABC the law of sine will be,
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
In triangle XYZ given here,
The law of sine can be written as,
[tex]\frac{x}{sinX} =\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
here ∠Y and ∠Z is given so we write
[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
y=2.6
∠Y=51°
∠Z=76°
sin51°≈0.78
sin76°≈0.97
[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]
[tex]2.6/0.78=z/0.97[/tex]
[tex]z=3.2 units[/tex]
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what is the greatest amount of spinach she can buy
Answers
Since she can't buy 1/3 of a spinach, the greatest amount she can buy is 9.
Hope this helps!
The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?
Answers
The car can travel 66 miles using 5.5 liters of gasoline
Explanation:
We are given that:
The expression 12*g is used to evaluate the number of miles the car can travel using g liters of gasoline.
Therefore:
miles = 12*g
Now, we are given that the liters of gasoline = 5[tex] \frac{1}{2} [/tex] = 5.5 liters.
To get the number of miles, all we have to do is substitute with the given liters in the above expression as follows:
miles = 12*g
miles = 12 * 5.5
miles = 66 miles
Hope this helps :)
A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?
Answers
168 students play at least one sport 35% of students at the school how many students are at the school
Answers
Total number of students multiplied by % equals portion of students
x * 35%= 168
0.35x= 168
divide both sides by 0.35
x= 480
ANSWER: There are 480 students in the school.
Hope this helps! :)