The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Can someone help me do this
What is a strategy for dividing 428 by 107?
Answer:
4Step-by-step explanation:
428÷107
Use the 1 st
digit 4 from dividend 428
107)1
107)428
Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient
107)02
107)428
Use the 2nd
digit 2 from dividend 428
107)03
107)428
Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient
107)004
107)428
Use the 3rd
digit 8 from dividend 428
107)005
107)428
Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.
107)0046
107)428
107)428
107)9990
Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
Quotient: 4
Reminder: 0
Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard was $84.50. The sale price for the skateboard is $50.70 What is the percent decrease in the price of the skateboard?
Answer:
40
Step-by-step explanation:
For what value of x is line f parallel to line g?
Answer:
13
Step-by-step explanation:
So the concept is that co-interior angles add up to 180 in parallel line. This means:
3x + 9 + 9x + 15 = 180
So we solve for x.
12x + 24 = 180 ( What I did was simplifying the equation).
12x + 24 - 24 = 180 - 24
12x / 12= 156 / 12
x = 13
HOPE THIS HELPED
the sum of three numbers is 106. the first number is 6 less than the second. the third is 2 times the first
Answer: 31/25/50
Explanation: 31 is the second one. 6 less than second is 25 which is the first one, and third is 2x the first so 50
50 + 25 + 31 = 106
Could someone please help answer this (homework help) will give brainliest, please no spam, thank you!
Answer:
m= 4(25) + 2(7)
m= 100 + 14
m= 114
You invested a total of $8000 in 2 funds earning 7% and 9% simple interest. During 1 year,
the 2 funds earned a total of $600 in interest. How much did you invest in each fund?
Answer 200 for 9 and 125 for 7
Step-by-step explanation:
Answer:$17,000 invested into the 8% fund
$8,000 invested into the 8.5% fund
Step-by-step explanation:
Add −1.5+1.75
Plot the first addend and the sum on the number.
Answer:
0.5+0.75=0.80
now
1+1=2
2+0.80=2.89
Answer:
.25
Step-by-step explanation:
its very easy btw you shouldn't have needed to post it just use a calculator.
After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
A. 0.04 percent
B. 2.0 percent
C. 4.0 percent
D. 37.3 percent
Answer:
the answer is C.
Step-by-step explanation:
your welcome..
Answer:
youre answer would be 4 so that would be C
In class today, we had 98 notebooks and 70 children.If each child gets two notebooks, how many more notebooks will we need?
Answer:
42
Step-by-step explanation:
times 70 by two to get how many notebooks needed total.
70*2=140
subtract how many notebooks you already had.
140-98=42
The no. of notebooks we need more will be equal to 42 notebooks.
It is given that no. of notebooks available is 98 and there are 70 children in class.
We have to find no. of notebooks needed more if each child gets two notebooks.
What is algebra ?
Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations and the symbols are called variables.
As per the question ;
No. of notebooks we had in class = 98 notebooks
And
Total no. of children = 70 children
The no. of notebook each child gets = 2 per child
So ;
70 children will get no. of notebooks ;
= 70 × 2
= 140 notebooks
The no. of notebooks we need will be ;
= 140 - 98
= 42 notebooks
Thus , the no. of notebooks we need will be equal to 42 notebooks.
To learn more about algebra click here ;
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A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?
A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Answer:
1.2
Step-by-step explanation:
1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: [tex]\frac{0.8}{100} * 150 = x[/tex]
2. Now, let's solve for x!
[tex]\frac{0.8}{100} * 150 = (0.008)(150)[/tex] [tex](0.008)(150) = \frac{6}{5}[/tex] [tex]\frac{6}{5} = 1\frac{1}{5}[/tex] [tex]1\frac{1}{5} = 1.2[/tex] [tex]1.2[/tex]Therefore, 0.8% of 150 is 1.2!
Find the midpoint of (-6,2) (-4,-11)
Answer:
(-5,-4.5)
Step-by-step explanation:
what is 9,340 x 4/3.
Answer:
12453.3333333
Step-by-step explanation:
4/3 is the same things as 4 ÷ 3 which is 1.33333333333
1.33333333333*9340 = 12453.3333333
Hope this helps!
Type the correct answer in each box.
The value of x is ___°, and the value of y is ___°.
Answer:
The value of x is 60°, and the value of y is 50°.
Step-by-step explanation:
50°+70°+x°=180°
x=180°-120°
x=60°
similarly the angle on the left side of x will be
70°
All these angles form 180°(linear pair)
hence, 70°+60°+y°=180°
130°+y°=180°
y°=180° - 130°
y°=50°
Hope this helps you. Have a nice day. Please amrk as braiiest. It helps a lot.^_^
The difference of an integer p and -8 is 3.Find the value of p
Answer:
-11 or -5
Step-by-step explanation:
If the difference here means subtraction then it's -11, if it means the opposite, then it's -5
Marco purchases dog food by the pound for his dog , Bruiser. His total purchase is $34.20, and the food is $4.65 per pound. Write a division problem that could be used to determine how many pounds of dog food Marco purchased.
Answer:
34.20/4.65=7.35 pounds of dog food
Step-by-step explanation:
total/per pound=# of pounds
34.20/4.65
what is the estimate of 19,369
Answer:
19,500
Step-by-step explanation:
This is probably a good one.
Consider the linear equation y=4x-7 find the value of y that makes the given ordered pair a solution to the equation (3, y) Y=
help pls
what is the slope intercept form of (4,-3) and (2,1)
Step 1: Find the Slope
Slope Formula: (y2 - y1) / (x2 - x1)
Point 1 = (4, -3)
Point 2 = (2, 1)
Slope = (1 - - 3) / (2 - 4) = (4) / (-2) = -2
Step 2: Find the Y-Intercept
Plug in the slope and one of the points into slope-intercept form and solve for b.
Slope-Intercept Form: y = mx + b
1 = -2(2) + b
1 = -4 + b
b = 5
Step 3: Put it all together
Plug in the slope and y-intercept into slope-intercept form.
Slope-Intercept Form: y = mx + b
y = -2x + 5
Hope this helps!! :)
5. Which of the following is a sign that you have a budget deficit?
Your savings account balance grows every month.
. You overdraw your checking account on a consistent basis (with a $25 cost per overdraft).
Your checking account balance grows every month.
3.4x-7.2=5.8x+24
I need help
9 to the power 18 = 27 to the power x work out the value of x
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
A ride sharing company offers two options: riding in small cars that can carry up to 3 passengers each, or riding in large vans that can carry up to 6 passengers each. A group of 27 people is going to use the ride sharing service to take a trip. The trip in a small car costs $10 and the trip in a large van costs $15. The group ends up spending $80 total. An equation that represents one of the constraints is 3x+6y=a. What is the value of a?
Answer:
a = 27
Step-by-step explanation:
3x + 6y = a
From the given information, 3 and 6 are the numbers of passengers that cars and vans can take. That means x and y must be the numbers of cars and vans, and a is the total number of passengers.
a = 27
Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS
Step-by-step explanation:
2x + y = 5 (times 3)
6x + 3y = 25
↓↓↓↓↓↓↓↓↓↓↓↓
6x + 3y = 15
6x + 3y = 25
→ No solution ←
2x+y=5
y=-2x+53y=-6x+15--(1)6x+3y=25
3y=-6x+25As slopes are equal lines are parallel
So no solutions
Option D
Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.
Answer:
2.58
Step-by-step explanation:
The speed of sound is about 3.4 x 10^2 meters per second. Mark is performing a science experiment and he needs to know how far sound travels in
3 x 10^10 seconds. If mark uses a calculator to solve his problem, how will the calculator show his answer?
Answer:
no it will not show the awning and powerful than you HA the same time as an event on Friday and powerful than you HA
negative 4 plus what equals negative 2?
solve for the value of r
Answer:
[tex]r = 13[/tex]
Step-by-step explanation:
[tex](8r + 5) + (5r + 6) = 180 \\ 13r + 11 = 180 \\ 13r = 180 - 11 \\ 13r = 169 \\ \\ r = \frac{169}{13} \\ \\ r = 13[/tex]
Mary Seitz invested a certain amount of money in a savings account paying 3% simple interest per year. When she withdrew her money at the end of 3 years, she received in $3900 interest. How much money did Mary place in the savings account?
Answer:
351
Step-by-step explanation:
3%=0.03
3900*0.03*3=351