from the above given figure, DE parallel to BC. if AD = 3cm, DB = 4cm and BC = 14cm, find DE
DE \\ BC
So ;
[tex] \frac{AD}{AB} = \frac{DE}{BC} [/tex]
AD = 3cm , BC = 14cm , DB = 4cm
AB = AD + DB
AB = 3 + 4 = 7 cm
[tex] \frac{AD}{AB} = \frac{DE}{BC} \\ \frac{3}{7} = \frac{DE}{14} \\ DE = \frac{14 \times 3}{7} = \frac{42}{7} = 6[/tex]
So ; DE= 6 cmI hope I helped you^_^
3(y - 5) + 2 = 5
answer choices:
a. 4
b. 7
c. -4
d. 6
Answer:
answer by your own
Step-by-step explanation:lol
Answer:
D.
Step-by-step explanation:
The first step is to subtract 2 on both sides, so
3(y - 5) + 2 - 2 = 5 - 2
3(y - 5) = 3
Next, multiply by or distribute the 3 on the left side.
3y - 15 = 3
Then, add 15 on both sides.
3y - 15 + 15 = 3 + 15
3y = 18
Finally, divide by 3 on both sides.
3y/3 = 18/3
y = 6
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
please anyone can give me it's urgent....
Step-by-step explanation:
From the figure it is clear that:
x+110°=180
x=180-110
x=70
For y:
the left exterior angle of line q is also70.
By the definition of alternate exterior angle:
y=70
Note:if you need to ask any question please let me know.
Find the area of parallelogram A.
Do not include units (square units) in your answer.
i can show u the rule but it must be equal a square unit
x =
10
6
5
help please
Answer:
10
Step-by-step explanation:
2+3=5
5+4=9
the blank in the circle must be more than 10
Please help: is the square root of -9 a whole number, integer, rational., or irrational?
Answer:
Step-by-step explanation:
None of the above.
It is a complex number. The sqrt(-9) is defined as 3i.
i is a definition brought into existence to represent the square root of -1. There is nothing at this level of math that you can point to and say this is the physical thing that is the square root (-1). It is just a math/physics definition.
What is the greatest
common factor (GCF)
of 40 and 42?
Elsa needs to drive a total of 205.6 miles. So far she has driven 67 miles. How many miles muse she drive?
Answer:
138.6 miles
Step-by-step explanation:
205.6 - 67 = 138.6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Give an example of an integer that is between –9 and -4.
Answer:
-8,-7,-6,-5
Step-by-step explanation:
-9<-8,-7,-6,-5<-4
please solve these questions it's important please
[tex] \frac{3 {a}^{2} - 9a}{ {a}^{2} - 9} = \frac{3a(a - 3)}{(a + 3)(a - 3)} = \frac{3a}{a + 3} [/tex]
c)[tex] \frac{ {y}^{2} - 3yz -4 {z}^{2} }{3 {y}^{2} - 12yz } = \frac{(y + z)(y - 4z)}{3y(y - 4z)} = \frac{y + z}{3y} [/tex]
d)[tex] \frac{ {d}^{2} + 4d + 4}{ {d}^{2} + 2d} = \frac{(d + 2)(d + 2)}{d(d + 2)} = \frac{d + 2}{d} [/tex]
e)[tex] \frac{5f - 15}{3 {f}^{2} - 13f + 12} = \frac{5(f - 3)}{(3f - 4)(f - 3)} = \frac{5}{3f - 4} [/tex]
I hope I helped you^_^
The angles of a quadrilateral are in the ratio 1:2:3:4. The smallest and the largest angle are
urgent pls answer asap
thank you
Step-by-step explanation:
Let the angles of quadrilateral be
X, 2x, 3x, 4x
Sum of all angles of quadrilateral = 360
X+2x+3x+4x = 360
10x = 360
X = 360/10 = 36
Ans: the four angles are
X = 36
2x = 2 X 36 = 72
3x = 3 X 36 = 108
4x 4 X 36 = 144
3 3/4÷3/4
pls I need this for my tuition in 5 min
Step-by-step explanation:
15/4÷3/4
15/4×4/3 (2 reciprocal of 3 upon 4)
5/1
or 4 1/1 Answer
4,4 will be cancelled 15 will be cancelled by 3
Please help :)
Please explain your answer also because I need to learn this!
A paratrooper and counter stronger winds than anticipated while parachuting from 1350 feet, causing him to drift at an 8° angle. How far from the drop zone will the paratrooper land?
Answer:
189 feet
Step-by-step explanation:
the distance from the drop zone the paratrooper will land = h × tan 8°
= 1350 × 0.14 = 189 feet
"You are growing like a weed!” D’rek's grandmother said to him when she saw him for the
first time in a year. If D’rek grew 8 inches over the last year, and an average dandelion (a
common weed) grows 0.1 inches in one day, is D’rek growing like a weed? Justify your
answer.
growth rate:
[tex]=\frac{8}{365}[/tex]Derek is not growing like a weed because the weed grows at 0.1 inch per day, while he grows at a rate of 0.022 inch per day.
The number of days in a year = 365
The question says that D'rek grew at the rate of 8 inches in the last year'
D'reks growth rate:
[tex]=\frac{8}{365}[/tex]
= 0.022 inch per day
From the calculation above, Derek is growing at the rate of 0.022 inch per day. But the question says that the weed grows at the rate of 0.1 inch per day
In conclusion, Derek is not growing like a weed, his growth rate differs from that of the weed.
Here is a similar question and solution https://brainly.com/question/1806491?referrer=searchResults
The chorus sang for 27 minutes. If each song lasted an average of 412 4 1 2 minutes, how many songs did the chorus sing?
Answer:
It would be 15 songs if each song was 412 seconds, not minutes.
Step-by-step explanation:
What is the length of the line?
Please explain in depth and I will give Brainliest
Answer:
Step-by-step explanation:
picture will show you all the explaination
PLEASE HELP! it's due today
Answer:
[tex]thank \: you[/tex]
Marketing company said 259 emails on Monday 431 emails on Tuesday and some emails on Wednesday if the company sent about like 1300 emails over three days about how many emails did the company send on Wednesday
Answer:
610
Step-by-step explanation:
Given:
259 emails on Monday431 emails on Tuesday? emails on WednesdayTotal emails = 1300Add:
259 + 431 = 690
Subtract:
1300 - 690 = 610
So, on Wednesday 610 emails were sent out.
Hope this helped.
which of the following functions is graphed below?
The correct answer is option (D).
To find from graph below which functions.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex] function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.
So, the answer is Option (D).
Learn more about co-ordinate geometry here:
https://brainly.com/question/24428694
#SPJ6
What is the constant of variation for y= 2/5x
Answer:
Step-by-step explanation:
This equation is of the form y = kx, where k is the constant of variation. In our case, this is 2/5. One thing that separates a direct variation from simply a line (although a direct variation does in fact represent a line when graphed), is that the graph of a direct variation will ALWAYS go through the origin. That means that it will never have the "+ k" at the end of its equation and its y-intercept is always 0.
and solve the two equations for x and y.)
midpoint (-4,-7), endpoint (5,- 10)
The other endpoint is
(Cype an ordered pair.
Answer:
the formula is x2+x1/2 , y2+y1/2 so plug it in and you will get (1,-17/12)
Step-by-step explanation:
Regular pyramid
B=
P=
H=
l=
LA=
SA=
V=
Answer:
B (Base surface area) = 16 [tex]m^{2}[/tex]
P (Perimeter of the base) = 16 m
H (Height) = 6 m
L (Not sure what L means. I assume it's the slant height??) = 6.32 m
LA (I assume lateral surface area) = [tex]50.59 m^{2}[/tex]
SA (I assume total surface area) = [tex]66.59 m^{2}[/tex]
V (volume) = [tex]32 m^{3}[/tex]
Step-by-step explanation:
Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.
Perimeter of base=4(4)=16m
Area of base=4²=16m²
Height=6m
Slant height=6.3m
Lateral surface area=4(1/2(4)(6.3))=8(6.3)=50.54m²
Total surface area=50.54+16=66.54m²
Volume=a²h/3=4²/(6)/3=16(2)=32m³
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5
Answer:
through: (-4, -5), slope = 0)
Step-by-step explanation:
gd afternoon
have a lovely day
graph the inequality v ≤ -4 graph it
Answer:
This simply means that you can move on the line all the way to -∞ from -4
Please view the image to see the graph
Step-by-step explanation:
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
[tex]\\ \rm\longmapsto x^2-y^2[/tex]
[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]
[tex]\\ \rm\longmapsto 9-4[/tex]
[tex]\\ \rm\longmapsto 5[/tex]
0 can be natural number true or false
Answer:
No Natural numbers start from 1
Step-by-step explanation:
true it can be a natural number
Read the word problem below.
Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?
Which strategy could help solve this word problem?
If x represents the number of pencils per box, solve the equation 4x + 8 = 196.
Divide 196 by the sum of 4 and 8 and find the quotient.
Divide 196 by 4 and check that the remainder is 8.
If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
Answer:
The last option 8x + 4 = 196
Step-by-step explanation:
8x + 4 = 196
8x = 192
x=192/8
x=24
The strategy that can help solve this word problem is : If x represents the number of pencils per box, solve the equation 8x + 4 = 196.
What is the strategy?A strategy is an approach that leads someone to the nearest of the solution of a problem.
How to solve the equation?Soni has 196 pencils.
Let, one box can accommodate x number of pencils.
Therefore 8 boxes can accommodate 8x number of pencils.
But she has 4 more pencils.
Hence, the required equation is 8x+4=196.
Learn more about the equation here :
https://brainly.ph/question/4246696
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Use your birthday month and day only, and find the sum and the product and the difference, and quotient.
month is 3 and day is 11
Answer:
sum 14, difference -8, product 33, quotient 3/11
Step-by-step explanation:
Sum: add
3 + 11 = 14
Difference: subtract
3 - 11 = -8
Product: multiply
3 * 11 = 33
and quotient: divide
3 / 11
(we can leave it like this as a fraction)
Write the polynomial in standard form.
LaTeX: 17+5abc\:-3d
Answer:
y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
ba de forttg