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Aleks [24]
3 years ago
5

A negative number is 42 less than it’s square.

Mathematics
1 answer:
marissa [1.9K]3 years ago
4 0

Answer:

Let x = the number

A negative number is 42 less than its square ⇒

x = x2 - 42

x2 - x - 42 = 0

(x - 7)(x + 6) = 0

x = 7 or -6

But since it is given that x is negative, the final answer is x = -6.

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Write the subtraction expression as an equivalent addition expression and then evaluate it.
Harrizon [31]

Answer:

<h3>2</h3>

Step-by-step explanation:

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-3(-5)

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6 0
3 years ago
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
Need help please. Thanks in advance
S_A_V [24]
3x+4=10
Subtract 4 from both sides
3x=6
Divide both sides by 3
X=2

Sides = 10,10,5


Problem 5. 4x+1=29
Subtract 1 from both sides
4x=28
X=7
7 0
3 years ago
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