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otez555 [7]
2 years ago
12

Please help?! I don't understand!

Mathematics
1 answer:
strojnjashka [21]2 years ago
6 0
<span>(Problem Number Five Answer: Simplify exponent so you get -3)
(Problem Number Seven Answer: 
</span>
Step 1: Simplify brackets

4 x^{2}  y^{3} *7xy

Step 2: <span>Gather like terms
</span>  4 * 7 x^{2} x y^{3} y

Step 3: Use Product Rule x^{a}  x^{b= x^{a+b} }<span>

</span>4* 7 x^{2+1}  y^{3+1}
<span>
Step 4: </span>Simplify 2+1 to 3

4*7 x^{3} y^{3+1}

Step 5: Simplify 3 + 1 to 4
4*7 x^{3}  y^{4}

Step 6: <span>Simplify

</span>28 x^{3}  y^{4}
<span>
Done! :)
(Problem Number 9 answer: Simplify the exponent so you get -5 )

</span>
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Find f(2) if f(x)=2x+1
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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
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