Answers
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the
1.
2. is common to both the triangles.
3. Two angles are common, so the third angle is also equal to .
All the three angles in the are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = units
Side AD = AE + ED
So, AD =
Using the ratio:
So, AE = 43.2 units
Related Questions
Find the area of the compound shape below.pls help
Answers
Answer:
22cm²
Step-by-step explanation:
For the area of triangle,
base = 2 + 2 + 2 = 6cm
height = 4cm
Area = 1/2 x base x height
= 1/2 x 6 x 4
= 12cm²
For area of the rectangle,
length = 5cm
breadth = 2cm
Area = length x breadth
= 5 x 2
= 10cm²
Area of compound shape = 12 + 10 = 22 cm²
Determine the value of e.
Question options:
A)
16
B)
32
C)
18
D)
8
Answers
9514 1404 393
Answer:
A) 16
Step-by-step explanation:
The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...
e/8 = 8/4
e = 8(8/4) = 8(2) = 16
The value of e is 16.
Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale factor of 0.5.
Answers
Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
so 1 equals one to q 1
Plsss help I have a couple min left plssss
Answers
Answer:
here is the answer
Step-by-step explanation:
the first one the slope is 2
the second one the slope is -3
the slope is always the one with the x and the second one without the x is the y axis
Malcolm sells magazine subscriptions. He earns $15 a week plus $3 for each subscription he sells. How many subscriptions must he sell to earn $90 in one week?
Answers
Number of subscriptions he must sell to earn $90 in one week is
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Fixed amount he earns per week = $15
Additional amount added depending on the number of subscription sold = $3
Let x be the number of subscription sold.
Amount earned in a week = 15 + 3x
If amount earned is $90,
15 + 3x = 90
3x = 75
x = 75 / 3 = 25
Hence the number of subscriptions is 25.
Learn more about Equations here:
https://brainly.com/question/30304855
#SPJ3
Help me with this!! I will mark Brainliest!!!
Answers
Answer:ggggggggg
Step-by-step explanation:
The map shows rail connections between major American cities.
What is the best conclusion that can be drawn from this map?
Most U.S. railroad traffic starts in Houston.
Atlanta is the railroad hub of the South.
Charlotte’s central location makes it a Southern city of the future.
Railroad traffic between Georgia and Florida is in decline.
Answers
Answer:
I need to know this, too.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
You can conclude this for the picture
A student claims that the expression “9 times the sum of a number and 13" is translated to the algebraic expression 9n + 13. Is the student correct? If not, what is the correct expression?
Answers
Answer:
No, the student is not correct. The correct expression is 9(n+13).
Step-by-step explanation:
"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.
Answer:
Sample Response: The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.
What is the decimal equivalent of 13/4?
Answers
Answer:
3.25
hope this helped!!
Answer:
3.25
Step-by-step explanation:
13 / 4 is an improper fraction . when you divide 13 by 4 you get 3.25
Evaluate 2x-y if x=-3 and y= -7
Answers
Answer:
1
Step-by-step explanation:
Substitute x with -3 and y with -7
2(-3)-(-7)
Multiply
-6-(-7)
Signs are both negative, turn into positive sign
-6+7
Add
1
Answer:
1
Step-by-step explanation:
x = - 3 and y = - 7
2x-y =?
Now
2*(-3)-(-7)
-6 +7. (sign of negative when multiplied it turns into positive)
1. Answer
plsssss help me its due in 5 minss i beg.
Answers
Answer:
15.13
Step-by-step explanation:
To find diameter, divide circumference by pi or 3.14
I'm going to change the fraction to a decimal, so 47.5
47.5/3.14 = 15.1273885
Round to nearest hundredth gives you 15.13
the the quotient of the opposite of a number and negative ten
Answers
Answer:
The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.
:))
Answer: x/10
Step-by-step explanation:
the quotient of the opposite of a number and negative ten
Well
The opposite of a number is -x
And negative ten is written as -10
now we need the quotient of -x and -10
If you were asked the quotient of 10 and 2 it would be 10÷2 or 5
So the quotient of -x and -10 would be [tex]\frac{-x}{-10} = \frac{x}{10}[/tex]
. Jacob and Sadie each got ahead on their skills practices. Jacob completed twelve fewer problems than twice the number Sadie completed. They completed a total of 127 problems. Which system of equations models this situation if Jacob completed j problems & Sadie completed s problems? A) j + s = 127
Answers
Answer:
2s-12=j
S+J=127
Step-by-step explanation:
ok so firstly you are going to have 2 problems. Jacob has 12 fewer than 2x Sadie's so it will look like this, 2s-12=j
. 2x Sadie's minus 12 will give you Jacobs. and then it tells you that together they have 127 completed so S+J=127
hope this helps!!
Here please help me.
Answers
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?
Answers
Answer:
3 gallons
Step-by-step explanation:
Each wall 12 x 20 = 240 feet squared
4 walls = 4 x 240 = 960 squared feet
960 divided into 320 = 3
1 gallon --------320
1 gallon------------320
1 gallon-----------320
3 gallons----------960
Please help me with this cuz I don't know what to do
Answers
Answer:
x = 3
Step-by-step explanation:
1. Amir, who is two-thirds of his sister, Manisha's
age, is 10 years of age. Find Manisha's age.
Answers
Answer:
Manisha age = 15 years
Step-by-step explanation:
Let
Manisha age = x
Amir = 2/3 of Manisha age
Amir = 10 years
Amir:
2/3 of x = 10
2/3 * x = 10
2/3x = 10
x = 10 ÷ 2/3
= 10 × 3/2
= (10*3)/2
= 30/2
= 15
x = 15 years
Therefore,
Manisha age = 15 years
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 14$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answers
Answer:
14000
Step-by-step explanation:
40 * 14 = 560
560 ÷ 0.04 = 14000
hope this helps!
The circumference of a circular garden is 91.06 feet. What is the radius of the garden? Use 3.14 for pi and do not round your answer
Answers
Answer:
radius = 14.5 feet
Step-by-step explanation:
91.06 / 3.14 = diameter = 29
radius = 29/2 = 14.5 feet
PLEASE HELP!!! Find the length of the midsegment to the nearest tenth.
Answers
Answer:
Midsegment is 35.
Step-by-step explanation:
TL; DR:
The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.
Look at the photo attached below.
Here is the statement/reason:
1. ED ║ AB (Midsegments are parallel to the base)
Note: Then, CA and CB are transversals
2. Then, m∠CED = m∠EAB (corresponding angles)
3. m∠CDE = m∠DBA (corresponding angles)
4. ΔCED is similar to ΔCAB (angle angle)
5. CA = CE + EA
6. CA = 39 + 39 = 78 (Substitution, algebra)
7. ED/AB = CE/CA (similar triangles)
Note: You can also use CD and CB
8. (6x+5) / (3x+55) = 39 / 78 (substitution)
9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)
10. 12x + 10 = 3x + 55, x = 5 (algebra)
11. ED = 6x + 5 (given)
12. ED = 6*5 + 5 = 35 (substitution, algebra)
An explanation of the algebra:
(6x+5) is twice as small as (3x + 55). So, we can write this equation:
2(6x+5) = 3x + 55
12x + 10 = 3x + 55
Subtract 3x from both sides.
9x + 10 = 55
Subtract 10 from both sides.
9x = 45
x = 5.
Now, put that into ED.
6x + 5 = 6 * 5 + 5 = 35
I hope this helps! Feel free to ask any questions!
area of a radius of 19.5
**Answer correctly n ill post another question with extra points**
Answers
Answer:
The area of a circle with radius 19.5 is 1195
Answer:
1194.59
Step-by-step explanation:
A=πr2=π·19.52≈1194.59061
Lenny made 50 sandwiches in 12 minutes for a catering job recently. How many sandwiches could he make in an hour if he worked at the same rate?
Answers
Answer: in an hour and working at the same rate, Lenny will make 250 sandwiches
Step-by-step explanation:
Number of sandwiches made in 12 minutes =50
Number of sandwiches made in 1 hour = ??
1 Hour = 60 mins
Therefore, Number of sandwiches made in 60 mins = (60 x 50) /12
=5 x 50 = 250 sandwiches
An architect's scale drawing of a new school is 8.4 inches long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Answers
Answer:
33.6f eet
Step-by-step explanation:
if
2=8 then
8.4x8= 67.2/2= 33.6 feet
answer for combining A and B
Answers
Plz mark brainliest
solve 15−10= ____ (3−2)
Answers
Answer:
5
Step-by-step explanation:
5=1 x y
y=5
Ika nilai rata-rata 20 orang murid adalah 7,5. Kemudian, seorang murid menyusul ulangan dan mendapatkan nilai 8. Berapa nilai rata-rata sekarang?
Answers
Answer:
Average grade now = 7.524
Step-by-step explanation:
Given - If the average score of the 20 students is 7.5. Then a student follows the test and gets a grade of 8.
To find - What is your average grade now?
Proof -
Given that,
Average score of 20 students = 7.5
So,
Total value of students = 20 × 7.5 = 150
Now,
Given that, One person added ang his grade is 8
So,
So Total value of 21 students = 150 + 8 = 158
Now,
Average score of 21 students = [tex]\frac{158}{21}[/tex] = 7.5238
∴ we get
Average grade now = 7.524
Tina planted a tree that was 6 feet tall and grew 3 feet every year her neighbor planted a tree from a seed but it grew 6 feet every year when will the 2 trees be the same height
Answers
Tina planted a tree. It started at 6 feet and every year it grows another three feet. The expression representing this is 6 + 3x, where x represents years.
Tinas neighbor also planted a tree where each year (which we called x) it grows 6 feet. The expression to represent this is 6x.
If you want to know when they’ll be the same height, then you need to set the expressions equal to each other.
6 + 3x = 6x
To solve, first get the variable to one side
6 = 3x
Divide each side by 3
x = 2
The trees wi be the same height the 2nd year.
0 ft tall at start grows 6ft per year
x years when trees be the same heights
6ft+3ft•x= 0ft+6ft•x
3ft•x-6ft•x=0ft-6ft
-3ft•x= -6ft
X= -6ft/-3ft
X=2 yrs
In 2 years the trees will be at the same height.
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long, how tall is the flagpole?
Answers
Answer:
11'12
Step-by-step explanation:
so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)
Solve and show work.
1. x^2 + 3x - 4 = 0
2. 2x^2 - 4x - 3 = 0
3. x(x - 2) = 4
4. 9x^2 + 12x + 4 = 0
5. x^2 + 2x = 1
Answers
Answer:
1. x^2 + 3x - 4 =0
x^2 + 3x = 4
x + 3x = √4
4x = 2
x =2/4
x = 1/4
2. 2x^2 - 4x - 3 = 0
2x^2 - 4x = 3
2x^2 - x = 3/4
2x - x = √3/4
x = √3/4
3.x(x-2) = 4
x^2 - 2x = 4
x - 2x = √4
- x = 2
x = -2
find the slope and y-intercepts of the line below & write the equation of the line.
Answers
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.