Answers
Answer:
The correct option is;
3 units
Step-by-step explanation:
From the given figure, we have that segment DE is parallel to segment CB of triangle ABC
According to triangle proportionality theorem we have that segment DE which is parallel to segment CB of triangle ABC, divides the other two sides the triangle ABC proportionally
We have;
[tex]\overline {DC}[/tex]/[tex]\overline {AD}[/tex]= [tex]\overline {EB}[/tex]/[tex]\overline {AE}[/tex]
[tex]\overline {DC}[/tex]/9 = 4/12
[tex]\overline {DC}[/tex]= 9 × 4/12 = 3
[tex]\overline {DC}[/tex]= 3 units
The length of the segment DC = 3 units.
Related Questions
6. The measures of two angles are (4x + 19) and (7x -29)°. What is the value of x if
these angles are congruent?
Answers
Answer:
The value of x is 16
Step-by-step explanation:
Given two angles are:
(4x + 19) and (7x -29)°
Two angles being congruent means that their numerical values will be equal
Putting both expressions equal
[tex]4x+19 = 7x-29[/tex]
Subtracting 7x from both sides
[tex]4x+19-7x = 7x-29-7x\\-3x+19 = -29[/tex]
subtracting 19 from both sides
[tex]-3x+19-19 = -29-19\\-3x = -48[/tex]
Dividing both sides by -3
[tex]\frac{-3x}{-3} = \frac{-48}{-3}\\x = 16[/tex]
Hence,
The value of x is 16
Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.
Which answer best explains why the “divide each side by step” is unacceptable?
a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
c. When you divide both sides of 2x = 6x by x you get 2 = 6x.
d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3
Answers
Answer:
b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Step-by-step explanation:
The solution is correct up to the step 2x = 6x
2x = 6x
Subtract 2x from both sides.
0 = 4x
Divide both sides by 4.
x = 0
You cannot divide both sides by x since x could be zero, and in fact, it is.
Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
2(x + 6) - 4 = 8 + 6x
After simplifying the above linear equation in one variable:
2x = 6x
The correct steps are:
6x - 2x = 0
4x = 0
x = 0
When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Jonathan is building a fence for his chickens. The length of a rectangle is
equal to triple the width. The perimeter(P=2L+2W) is 72 centimeters. What
is the width of the fence?
Answers
Answer:
Width = 9
Step-by-step explanation:
(P=2L+2W) = 72
L = 3W<- length is triple the width
(P = 2(3W) + 2W) = 72
P = 8W =72
W = 9
Please I needddd helppp is it correct or do I need to change something
Answers
gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car
Answers
He puts 16 gallons
Answer:
16 gallons
Step-by-step explanation:
33.44 divided by 2.09 is 16, so he put 16 gallons in his car.
A two-digit positive integer x has the property that when 109 is divided by x, the remainder is 4. What is the sum of all such two-digit positive integers x
Answers
Answer:
The sum of the two digits integers which divide 109 with a remainder of 4 is 71
Step-by-step explanation:
The given parameters are;
109/x = Q + 4/x
Therefore, we have;
109 = Q·x + 4
∴ Q·x = 109 - 4 = 105
x = 105/Q
Therefore, x is a factor of 105
The possible two digits integers which x represents includes the two digit factors of 105 which are;
15, 21, and 35
Which gives;
15 × 7 = 105
21 × 5 = 105
35 × 3 = 105
The sum of the two digits integers which divide 109 with a remainder of 4 is 15 + 21 + 35 = 71.
HELP
Which BEST describes the system of equations graphed on the coordinate plane?
Answers
Find the equation of the line
PLEASE HELP
Answers
Answer:
y = -3x +7
Step-by-step explanation:
The equation for a line is: y = mx + b
m = slope
x = the x-value
y = the y-value
b = the y-intercept
Since the y-intercept is 7, we know the first part of the equation is: y = mx +7
Also, since the line is decreasing from right to left, m is going to be negative. A way to calculate the m is rise/run. Count how many blocks it is going horizontally (run)and how many blocks it is increasing/decreasing when going to the right (rise). Then divided the "rise" over "run". Another way is to choose two points. Now use the equation y1-y2/x1-x2,
or y2-y1/x2-x1. I am going to show using the equation.
My two points are (0,7) and (2,1)
change in y (rise):7-1 = 6
change in x (run): 0-2 = -2
6/-2 = -3. Your slope is -3. Now lets put it all together.
y = -3x +7
You can see that for every square moved to the right ONCE the y value is decreasing by 3 each time.
Rewrite y+3=−(x−5) in standard form .
Answers
Answer:
x + y = 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y + 3 = - (x - 5) ← distribute
y + 3 = - x + 5 ( subtract 3 from both sides )
y = - x + 2 ( add x to both sides )
x + y = 2 ← in standard form
Searches related to As part of a promotion, a local ice cream store is giving away free ice cream cones to the first 20 customers After that, ice cream cones cost $3.00 Is the store's profit proportional to the number of customers? Explain.
Answers
Answer:
Yes, store's profit is proportional to number of customers
Step-by-step explanation:
Yes, the profit is proportional to the number of customers.
Profit = Revenue - Cost = (Price x Quantity) - Cost
Profit = (0 x 20) + (3 x q) - c(20+q) : Where q refers to quantity beyond 20, & c is average cost per unit
Profit = 3q - 20c - cq = (3 - c)q + 20c
As 20c is constant, component of equation has coefficient 'q' which stands for quantity of sales ie number of customers
Which of the following DOES NOT equal 8%?
A.)0.08
B.)0.08
C.)8/100
D.)8.0%
E.)8.0%
F.)2/25
G.)4/5
Answers
Answer:
g
Step-by-step explanation:
8/100 is the same as 0.08 and 8,0% doesn't change and 2/25 is 8% as 1/25 is 4 so 2 would be 8 and it is g as 4/5 is 80%
PLEASE MAY I HAVE BRAINLIEST
help me please i dont understand
Answers
Usually we use sin, cosine and tan when we have an angle and we need to find one of the sides (look at the picture below)
But since now we have the sides and we need to find the angle, we need to use something called sin inverse or arcsin.
X=sin^-1 (6/14)
Note: sin^-1 is the same as saying sine inverse same as saying arcsin.
If we use this it will give us the required angle..
X=25.377 or X=25.4 degrees
Please do yourself a favour and compare it to the one below...finding the sides (because in the case we have the angle and not the sides we don’t use sine inverse)
a group of students organized a car wash to raise money for charity. The students charged 5$ for each car they washed. In 3 hours they washed 12 cars.At that rate, how many cars could they wash in 8 hours
Answers
Answer:
8hours=8/3×12=32cars
Step-by-step explanation:
Answer:
8hours=8/3×12=32cars
Step-by-step explanation:
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answers
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
A small ice cream shop sold 120 ice cream cones last weekend. It sold 42 vanilla cones, 53 chocolate cones, and 25 strawberry cones. What angle measure should be used for chocolate cones in a circle graph of the data?
Answers
Answer:
acute i think??
Step-by-step explanation:
Answer:43.3
Step-by-step explanation:
Solve the equation by completing the square.
2x^2+20x-63=3
Answers
Convert 625 to Scientific notation
Answers
Answer:
6.25 x 10^2
Step-by-step explain:
625 could be 6.25 and you move the decimal 2 times to the right.
If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21
Answers
2(-5) -4 = -14
-10 -4 = -14
-14 = -14
What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions
Answers
Answer:
one solution
Step-by-step explanation:
Given the equations
1/4x + 1 1/2y =5/8 ..... 1
3/4x - 1 1/2y =3 3/8 ..... 2
Get the value of x
Add both equations
1/4x + 3/4x = 5/8+3 3/8
4x/4 = 5/8+27/8
x = 32/8
x= 4
Substitute x = 4 into equation 1
From 1;
1/4x + 1 1/2y =5/8 .
1/4(4) + 3/2 y = 5/8
1 + 3/2 y = 5/8
3/2 y = 5/8 - 1
3/2 y = -3/8
Cross multiply
24y = -6
y = -6/24
y = -1/4
Hence the solution {x,y) is (4, -1/4)
The system has only one solution
can someone help me‼️
Answers
Answer:
55°
Step-by-step explanation:
180° - 125° = 55°
so angle 2 is 55 degrees
True or False? If a number is divisible by 10 then it must also be
divisible by 5 and 2.
Answers
Answer:
true
Step-by-step explanation:
because in order for something to be divisible by 5 it has to end in an 0 or a 5
and for something to be divisble by 2 it has to end in a even number
geometry help please :)
Answers
Answer:
Medium to Line AC
Altitude to Line AC
Bisector of Angle B
Perpendicular bisector of Line AC
Step-by-step explanation:
We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.
#teamtrees #WAP (Water And Plant)
What is 345 divied by 189 remander2
Answers
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
At what point does the row and column shaded in Problem 5 intersect?
Need the answer too 6
Answers
Answer:
C3
Step-by-step explanation:
intersect mean to cross. the row and column cross at c3
Your friend estimated that it would take 5 hours to finish an art project. It actually took him 16 hours to finish the project. The amount of time it took to finish the project was blank percent of the estimated time. What does it mean to have more than 100% of something?
Answers
Answer:
like if you have a bowl of popcorn, it is probably gonna be more than 100% full.
Step-by-step explanation:
for the blank, it is 320% i believe
Answer and explanation:
Estimated time to finish the project = 5 hours
Actual time taken to finish the project = 16 hours
Therefore the amount of time/actual time it took to finish the project = 16/5*100/1= 320% of estimated time to finish the project
When something is more than 100 percent of a thing then it is bigger than that thing. For instance, If it took your friend exactly 5 hours to finish the project, then it took him 100 percent of the estimated time. If it took him more than that time, then it is more than 100 percent of estimated time.
Hence, 100 percent of a thing then it is equal to that thing, if more, 120 percent, then it is more or bigger than that thing. If less than 100 percent then it is less than that thing.
Pls help. Due in 15 mins
Answers
Answer:
D. the number of dogs in the shelter compared to the number of cats in the shelter.
Help please I will mark u as brainliest
Answers
Answer:
The smallest angle is 80 and the largest angle is 180.
Step-by-step explanation:
Hope this helps! :D
Plz mark me as brainliest!
What is the solution for the system below?
у
4
-2
0
2
4
4
(2,0)
(0-2)
0 (1-1)
Answers
Answer:
the solution is (1,-1)
Step-by-step explanation:
the lines meet at (1,-1)
solve for x: 3(x+1)=-2(x-1)-4
Answers
Answer:
3x + 1 = f
Step-by-step explanation:
Answer:
x=(-1)
Step-by-step explanation:
3(x+1)=-2(x-1)-4
3x+3=-2x+2-4
3x+3=-2x-2
5x=-5
y varies directly with x. If x= 2 and y = 10 what is y if x = 4
Type your answer...
Answers
Answer:
y=20
Step-by-step explanation:
2x:10y So for every x you have 5y
4x:20y
Answer:
y=20
Step-by-step explanation:
Hope this helped have an amazing day!