Answers
Answer:
AB = 21
Step-by-step explanation:
Tales' theorem
[tex]\frac{12}{14} =\frac{18}{AB}[/tex]
[tex]AB=\frac{(14)(18)}{12}[/tex]
[tex]AB=21[/tex]
Hope this helps
(i)Given that:
AE || BD
AB = ? [Let AB be x]
BC = 3
ED = 12
DC = 4
We know that
By Basic Proportionality Theorem,
AB/BC = ED/DC
On substituting these values in the above formula
⇛ AB / 3 = 12 / 4
On applying cross multiplication then
⇛ x(4) = (12)3
⇛ 4x = 36
Shift the number 4 from LHS to RHS.
⇛ x = 36÷4
⇛ x = 36/4
Therefore, AB = 9
Answer: The value of AB for the given problem is 9.
Similarly,
(ii) Given that:
EB || DC
AE = 14
ED = 12
AB = ? [Let AB be X]
BC = 18
We know that
By Basic Proportionality Theorem,
AE / ED = AB / BC
On substituting these values in the above formula
⇛ 14 / 12 = x / 18
On applying cross multiplication then
⇛ 14(18) = (12)x
⇛ 252 = 12x
Shift the number 252 from LHS to RHS.
⇛ X = 256÷12
⇛ X = 21
Therefore, AB = 21
Answer: The value of AB for the given problem is 21
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".also read similar questions: In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is..
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Related Questions
Harriet and tom run and walk, respectively, a 12 mile course
they both want to finish the course together at the same time
tom sets off at 8:15
am and walks at a constant speed of 4 mph
Given that Harriet runs at a constant speed of 8 mph, at what time should she set off
Answers
Answer:
t = S / v time = distance / speed
For Tom t = 12 m / 4 mph = 3 hours to cover course
Tom will finish at 8:13 + 3 = 11:15
th = 12 m / 8mph = 1.5 hours to cover course
11:15 - 1.5 = 9:45 time Harriet should start to finish in 1.5 hours
© There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is
5/12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answers
Answer:
I think it's 35, because if there's 25 dark and you divide 25 by 5 you get 5, so 1/12 is equal to 5
Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______
Answers
Increase by 28
The Appalachian Trail is about 2,175 miles long.
If Katia averages 18 miles each day, how long will it take her to hike the length of the trail?
Answers
Answer:
121 days to hike the length of the trail.
Step-by-step explanation:
Divide 2175 miles by 18 miles/day. The unit 'miles' will cancel out, leaving with us the unit 'days.'
2175 miles
------------------- = 121 days
18 mi/day
Find all the missing angles.
Please help
Answers
2: 34
3: 95
4: 38
5: 47
6: 74
7: 59
Hope this helps!
Brainliest and a like is much appreciated!
Comment if you want a explanation!
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59
solve the equation. 2(3x-4)=3x+1
Answers
Answer:
x=3
Step-by-step explanation:
PLEASE HELP!!!!!! This is very important to me PLEASE HELP ASAP and if you help me god bless you
Answers
Answer:
try the 3rd one
Step-by-step explanation:
if it's not right then i'm sorry
Answer:
Below!
Step-by-step explanation:
The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.
Answers
What’s the slope intercept form?
At first I thought it was y=-4/3x+7 but it’s not. Pls help!
Answers
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line
m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line
217.8 as mixed number
Answers
Answer:
27 1/8
Step-by-step explanation:
217/8= 27.125 = 27
217 - (8 x 27) = 1
We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
27 1/8
Simplifying our fraction
In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.
1/1 = 1
8/1 = 8
When we put that together, we can see that our complete answer is:
27 1/8
Answer:
217 4/5
Step-by-step explanation:
PLZ HELLLP 50 POINTS, WILL GIVE BRAINLY PLZZZZZZZZZZ
Modified organisms may contaminate the natural, wild populations.
Which genetic technique is the statement describing an ethical issue of?
stem cell research
gene therapy
transgenic organisms
cloning
Answers
Answer:
Transgenic Organism
My reasoning:
A transgenic organism is an organism which has been modified with genetic material from another species. The biggest use of transgenic organisms is for agriculture growth, the development of genetically modified crops.
They also research with transgenic mice. Mice can be modified with human DNA for the purpose of testing medical treatments and seeing how they might behave in a human.
Researchers are concerned though that interbreeding between transgenic and wild organisms could have unforeseen consequences and could reign havoc on our ecosystem.
~That's All Folks~
-Siascon
transgenic organisms is the answer
1/3x² + x+5/3x² = 1/9
HAHAHAHA......
Answers
Answer:
[tex]\huge \bf༆ Answer ༄[/tex]
Step-by-step explanation:
Let's solve for x ~
[tex] \sf \dfrac{1}{3} {x}^{2} + x + \dfrac{5}{3} {x}^{2} = \dfrac{1}{9} [/tex][tex] \sf \dfrac{(1 + 5)}{3} {x}^{2} + x = \dfrac{1}{9} [/tex][tex] \sf \dfrac{6}{3} {x}^{2} + x - \dfrac{1}{9} = 0[/tex][tex] \sf2 {x}^{2} + x - \dfrac{1}{9} = 0[/tex]Multiply each term with 9 on both sides of the equation
[tex] \sf(2 {x}^{2} \times 9) + (x \times9 ) - ( \dfrac{1}{9} \times 9 ) = 0 \times 9[/tex][tex] \sf18 {x}^{2} + 9x - 1 = 0[/tex]Now, let's use Quadratic formula to find its roots ~
[tex] \sf \dfrac{ - {b}^{} \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
where,
b is Coefficient of x = 9 a is Coefficient of x² = 18 c is the constant term = -1Let's find the roots ~
[tex] \sf \dfrac{ - 9 \pm \sqrt{(9 {}^{2}) - (4 \times 18 \times - 1) } }{2 \times 18} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81- ( - 72) } }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{81 + 72} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm \sqrt{153} }{36} [/tex][tex] \sf \dfrac{ - 9 \pm 3\sqrt{17} }{36} [/tex][tex] \sf \dfrac{3( - 3 \pm \sqrt{17} )}{36}[/tex][tex] \sf \dfrac{ - 3 \pm \sqrt{17} }{12} [/tex]Therefore the value if x are ~
[tex] \sf \dfrac{ - 3 + \sqrt{17} }{12} \: \: and \: \: \sf \dfrac{ - 3 - \sqrt{17} }{12} [/tex]I hope it helps ~
Martin spent six dollars on four avocados how much money does he spend for two avocados
Answers
Answer:
$3
Step-by-step explanation:
cut the price in half because the amount of items was reduced by half
Answer:
three dollars
Step-by-step explanation:
$6 for 4
$x for 2
6=4
x=2
cross multiply
2×6=4×x
12=4x
Divide through by 4
x= 3
solve similar triangles (advanced)
Answers
Answer:
x = 3/2
Step-by-step explanation:
ΔACB ≈ ΔAED due to hypotenuse-leg theorem
therefore, BC/BA = DE/AD
4/6 = 5/(x+6)
cross-multiply to get:
4(x+6) = 6(5)
4x + 24 = 30
4x = 6
x = 6/4 or 3/2
check:
4/6 = 5/7.5; the cross-products are both equal to 30
HELPPP ASAPPPPPPPPPPP
Answers
I can't see it can you retake the picture please so I can try to help if I know it?
GUYS PLEASE HELP!!!
Answers
Answer:
C (5,4)
Step-by-step explanation:
(x,y)
fist number in the ordered pair is the X value
Second number in the ordered pair is the Y value
A (-3,0) means you go 3 spaces to the left in the negative direction and zero spaces in the Y axis
B(-2,1) means you go 2 spaces to the left on the x axis (negative) and 1 space up (positive) in the Y axis
C (5,4) means you go 5 spaces to the right on the x axis (positive) and 4 spaces up on the Y axis (positive)
After doing all of these we see that C does not end up on the line
Answer two questions
25 points
Answers
Answer:
1) -2x - 3
2) -2a - 2
Step-by-step explanation:
Problem 1
To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.
-10x + 8x + 1 - 4
-2x - 3
Problem 2
This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.
2(1 - a) - 4
2(1) - 2(a) - 4
2 - 2a - 4
Next, we can combine like terms.
-2a + 2 - 4
-2a - 2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]
[tex]\huge\text{Number 2}[/tex]
[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]please help i dont understand
Answers
Answer:
[tex] \frac{ {y}^{2} }{4 {x}^{5} } [/tex]
what is the value of 5/6 divded by 1/2 helpi am bad at math
Answers
Answer:
5/3 or 1 2/3
Step-by-step explanation:
when you multiply fractions, you must 'multiply by the reciprocal'
you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa
5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6
always reduced to lowest terms when you can . . .
10/6 equals 5/3
Answer:
1.6667 as a decimal
Step-by-step explanation:
Hope this helps! Have a great rest of your day!
313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?
Answers
1. The percentage of people surveyed in East Harlem is 58.5%
2. The percentage of people surveyed in Upper East Side is 41.5%
From the question given above, the following data were obtained:
People surveyed in East Harlem = 183People surveyed in Upper East Side = 130Total people surveyed = 3131. Determination of the percentage of people surveyed in East Harlem.
People surveyed in East Harlem = 183Total people surveyed = 313Percentage of East Harlem =?Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100
Percentage of East Harlem = (183/313) × 100
Percentage of East Harlem = 58.5%
2. Determination of the percentage of people surveyed in Upper East Side.
Percentage of East Harlem = 58.5%Total percentage = 100%Percentage of Upper East Side =?Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)
Percentage of Upper East Side = 100 – 58.5
Percentage of Upper East Side = 41.5%
Learn more about percentage:
https://brainly.com/question/14899205
Help Plz
Rewrite in simplest terms: 4(3d+7f)-5f-3(9f+3d)4(3d+7f)−5f−3(9f+3d)
Answers
Answer:
its easy
Look at the pictures.
Please mark brainlest
If you cant see the result is 24f+24d
help me please brainlist if right
Answers
Step-by-step explanation:
1B.) Zero power rule
C.) 1
2B.) Product of powers rule
C.) y^(7+11) = y^18
3B.) Quotient of powers rule
C.) b^(18-5) =b^13
4B.) Power of a power rule
C.) 3^(2×2) =3^4= 81
5B.) None
C.) 729
two more and that it 30 + 30 × 30 + 20 ÷ 20
Answers
Let's see
30+30×30+20/2030+30^2+131+900931Done!
please help with my work
Answers
Answer:
F
Step-by-step explanation:
Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.
who wants to help i really dont wanna do this question
Answers
Answer:
71
Step-by-step explanation:
(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)
(50) + (21) = 71
expand and simplify 2(8x + 4y - 10)
[tex]2(8x + \\4y - 10)[/tex]
Answers
Solve for x.
3x - 3
4x - 6
X =
= [?]
Answers
Answer:
x=27
Step-by-step explanation:
Same side exterior angles are supplementary when the lines are parallel
3x-3 + 4x-6 = 180
7x -9 =180
Add 9 to each side
7x-9+9 = 180+9
7x = 189
Divide each side by 7
7x/7 = 189/7
x =27
additive inverse of −9x+3
Answers
Answer:
(3x−4) −(x−5)
Step-by-step explanation:
Answer:
The additive inverse of −9x + 3 is 9x - 3Step-by-step explanation:
All we need to do is multiply −9x + 3 by -1.=> -1(−9x + 3)=> 9x - 3Therefore, the additive inverse of −9x+3 is 9x - 3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
seriously need helpp
Answers
Step by step:
35
-
28
=
7
Given h(x)=-3x-4h(x)=−3x−4, find h(0)
Answers
Answer:
h(0) = -4
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
h(x) = -3x -4
h(0) = -3·0 -4 = 0 -4
h(0) = -4
_____
Additional comment
In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.