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vredina [299]
3 years ago
12

Describe the process of writing the equation of a line

Mathematics
1 answer:
lara [203]3 years ago
7 0
If you are writing in slope-intercept form:

You first find the slope.

Put the slope in the equation.

Substitute any point into the equation and find the y-intercept. 
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In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║ AB. Find the measures of the angles of ΔABC, if m∠ADE: m∠ADB = 2
drek231 [11]

Answer:   ∠A=48°,∠B=48°,∠C=84°.


Step by-step explanation:

Given:  AD and BE are the angle bisectors  of ∠A and ∠B

i.e ∠6=∠7    ( ∵ Angles formed after  AD bisected ∠A)

∠4=∠5       ( ∵ Angles formed after  BE bisected ∠B)

Also,  DE║AB

⇒ ∠2=∠7   (∵ Alternate interior angles)

   ∠3=∠6   (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x     ..(1)

To Find:  ∠A,∠B,∠C.

Solution:  ∠2=∠7 (∵ Given)    ...(2)

∠2=∠4  (∵ angles on the same segment)    ...(3)

∠4=∠5 =∠B/2 (∵ Given)    ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

⇒15x = 180°

⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, <u>∠B=∠A=48°</u>

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

<u><em>⇒∠C=84°</em></u>

6 0
3 years ago
Write a mixed number that is equivalent to 16\3
Veseljchak [2.6K]
A mixed number that is equivalent to 16/3 is 

5 1/3
3 0
3 years ago
Read 2 more answers
Jessica is baking a cake. The recipe says that she has to mix 96 grams of sugar into the flour. Jessica knows that 1 cup of this
d1i1m1o1n [39]
She added 64 grams which is 34 grams less than Wat was needed
3 0
3 years ago
Read 2 more answers
PLEASE HELP ME HELP MEMOASJDEFIWJDAISFHRIHBSKJDS
pav-90 [236]

Step-by-step explanation:

Ciete Advoule jenxer Tull. Uvlar Shiel Tiete dum ballerre

6 0
3 years ago
Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate
Ipatiy [6.2K]

Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

f(x) = 1500(0.97)ˣ

4 0
2 years ago
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