Option A, DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
From the given triangles
In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.
In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.
As the two triangles are similar.
DE/AB=6/3=2
EF/BC=8/4=2
DF/AC=10/5=2
So DE/AB=EF/BC=DF/AC=2
Hence, Option A DE/AB=EF/BC=DF/AC shows the corresponding sides as equal ratios
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Solve for x and y simultaneously
Pls help me
Step-by-step explanation:
Are the roots equal or unequal
what is the answer to
x+5=10
5 Gretchen borrowed $50 from her parents for 3 months. They charged her 14% interest. How much does she need to pay her parents to pay off the loan?
Step-by-step explanation:
simple interest = principal×rate×time
S.I = $50×(14÷100)×3
S.I=$50×0.14×3
S.I=$21
Amount= principal + simple interest
Amount = $50+$21
Amount = $71
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 6800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xxx, the number of 100-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
Add
-10 + 5=
Add.
-19 + -6
Answer:
-30
hope i helped
Step-by-step explanation:
hi please help i’ll give brainliest please
Answer:
it should be all of them besides the last one because 3 is greater than 2
and 2 because it is equal
Step-by-step explanation:
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
Answer: [tex]6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-12x+15=0[/tex]
Solving by completing the square method
[tex]\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}[/tex]
The solution set of the equation is [tex]6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}[/tex]
Answer:
D on edge
Step-by-step explanation:
25% of
___= 4 what is the correct answer?
Answer:
Answer is 16%
Step-by-step explanation:
I hope it's helpful!
Answer:
16
Step-by-step explanation:
Do 4/ 1 over 4. This simplifies to 4*4 so your answer is 16. To check 4/16 = 0.25
3 people invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?
Answer:
$90,000;$135,000;$225,000Step-by-step explanation:
In this question we have to find the share of each person
First we have to find the sum of all the ratios,
[tex]2 + 3 + 5 \\ = 10[/tex]
Then we have to represent their share as a fraction and then multiply it by the total value,
The share of first person:-
[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]
So the first person share is $90,000
The share of second person:-
[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]
So the second person share is $135,000
The share of third person:-
[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]
So the third person share is $225,000
(This is your answer hope it helps :))
Write the polynomial 4x+5x^3+17x^5-7 in descending order.
Answer:
5x+4x^17+3x^5-7
Step-by-step explanation:
If x equals 8 what is the volume.
Answer:
I think it might be 9420 Im not sure though
Step-by-step explanation:
Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3
find the value of given expression
[tex] \sqrt{310 \times 310} [/tex]
Answer:
√{310×310}=√310²=±310 is your answer
Which ratio is equivalent to 22 : 11 ?
1 : 2
2 : 1
2 : 44
66 : 44
Answer: 2:1 B is the answer I think this is correct.
Step-by-step explanation:
can someone please help me!!
Answer:
the difference is the rate of change and the payment plan
Step-by-step explanation:
This week at the farmer's market the price of oranges per pound has decreased by 20% compared to last week. If the price of oranges this week is $3.89, which equation would represent the price of oranges per pound last week, p?
Answer:
$4.8625
Step-by-step explanation:
$3.89 + 20%
$3.89 = 80%
$3.89 × ¼ = $0.9725
$0.9725 × 5 = $4.8625
Three less than a number is 14 more than 2 times that number. What is the number?
Answer:
-20 = - 20
Step-by-step explanation:
Suppose the number is x
three less than a number means x - 3 which is equal to 14 more than twice a number means 2x +14.
So we can write
x - 3 = 2x +14 - - - - - A
subtract x from both sides
x - x - 3 = 2x - x +14
-3 = x +14
Subtract 14 from both sides
-3 - 14 = x +14 - 14
-17 = x
Or x = - 17
Now can verify our answer by putting the value of x in Eq A
-17 - 3 = 2 x (-17) +14
-20 = - 34 +14
-20 = - 20
I hope this helps. :)
Can someone please help me ASAP
Answer:
Step-by-step explanation:
AB = 5
AC = 6
BC = √(5² + 6²) = √61 ≈ 7.8 units
WILL GIVE BRAINLIST FOREALS JUST ANSWER QUICKY I PROMISE
Brianna can rent a scooter for $15.00 plus $0.50 per mile. Question 1 Part A Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter. Enter the correct answer in the box
Answer:
t = 0.5m + 15
Step-by-step explanation:
0.5m + 15 = t
PLEASE! PLEASE!!!!! ANSWER ASAP!!! YOU WILL GET BRAINLIEST!
Lab group A got a residual of 14.1005 grams of silver at the end of an experiment. Lab group B got a residual of 11.023 grams of silver at the end of a similar experiment. Using significant digits, find how much more silver lab group A got compared to lab group B.
A. 3.077 g
B. 3.0775 g
C. 3.078 g
D. 3.75 g
Answer:
C. 3.078
Step-by-step explanation:
14.1005 - 11.023 = 3.0775
Then you round the ten thousands place turning 75 into 8 equaling 3.078
Subtraction is a mathematical operation. The amount of silver lab group A got compared to lab group B is 3.0775 gm more.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The amount of silver that group A got is 14.1005gm, while the amount of silver that group B got is 11.023 grams. Therefore, the amount of silver lab group A got compared to lab group B is,
14.1005 gm - 11.023 gm = 3.0775 gm
Hence, the amount of silver lab group A got compared to lab group B is 3.0775 gm more.
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Write the equation in standard form of the line that
passes through the point (4, -2) and has a slope of -1/2.
Answer:
x+2y=0
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-1/2(x-4)
y+2=-1/2x+4/2
y+2=-1/2x+2
y-(-1/2x)=2-2
y+1/2x=0
1/2x+y=0
2(1/2x+y)=2(0)
x+2y=0
please help i will give brainliest
Answer:
b. y = x + 4
Step-by-step explanation:
So we know at x = 0, or the middle black line, the red line is touching 4 so y = 4. 4 is the y intercept so the equation should say "+ 4"
Then, we can see that when the red line increases up by 1 value, it also increases 1 value to the right so that would be 1/1 which equals to 1x.
Therefore the correct answer is y = x + 4
Please mark brainliest if this was helpful :)
solve the simultaneous equations 3 x - 5 y = 5 ,x + 10y= 4
+) Tickets to the spring festival are being sold online. The ticket price is $8 per person. The
expression 8t + 2 represents the total cost for t tickets, including a $2 service fee.
) What does the term 8t represent?
*) the price of the tickets
) the service fee
) the number of tickets
*) the total cost, including the service fee
Answer: What does the term 8t represent?
*) the price of the tickets
Step-by-step explanation:
Can someone please help me! ASAP
Answer:
∠ V = 130°
Step-by-step explanation:
In a parallelogram opposite angles are congruent and consecutive angles are supplementary.
∠ S and ∠ V are not opposite angles, they are consecutive, then
∠ S + ∠ V = 180°
50° + ∠ V = 180° ( subtract 50° from both sides )
∠ V = 130°
Please help me solve these exponents
WHAT numbers do 12 and 10 go in evenly
Answer:
Step-by-step explanation:
All the factors of 12
So 1, 2, 3, 4, 6 and 12 are factors of 12.
Answer:
answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day
Step-by-step explanation:
12,10| 2
6,5| 2
3,5| 3
1,5| 5
1,1
Please help I will mark you brainliest !
a. y=-2.5x+50
b. slope=-2.5. y-intercept=50
Answer:
slope is -2.5
y-intercept is (0,50)
slope y-intercept is y= -2.5x + 50
Step-by-step explanation:
to find the slope you use rise/run the rise is 5 and the run is -2 which is 5/-2 or -2.5
the y-intercept is where the line hits a perfect point on the y-axis which would be at 50 in your case
y=mx+b
m= slope and b= y-intercept
why is m the slope? because the slope is the unknown variable
hope this helps :) (i tried to explain it as best as i could) have a nice day !!
Someone plz help me giving brainliest
Answer:
no this is wrong its souposed to be moved twice so it will look like this:
706.56
Step-by-step explanation:
Taylor noticed that for the rectangle below she could multiply 2 times 3 to get its area of 6 square inches. How else could she find the area?
Answer:
Add 2+2+3+3
Step-by-step explanation:
Correct me if i'm wrong but that's my answer. I studied this 3 years ago.
Answer:
3 x 2 or 3 + 3
Given: Taylor noticed the rectangle she could multiply 2 times 3 to get its area of 6 square inches.
so, if we did 3 times 2 its 6 but if we did 3 + 3 it also 6 so therefore she could do 3 x 2 or 3 + 3 to find the area.
Step-by-step explanation:
Help me plz!!!! For number 17
Answer:
x=40
Step-by-step explanation:
x + 320 = 360
-320 -320
x = 40
Answer:
x=40
Step-by-step explanation:
So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.
That means x equals 360 minus the sum of the other three angles.
100+120+100=320
360-320=40
x=40 degrees