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zhuklara [117]
4 years ago
5

For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two

angles into which the bisector divides the acute angle
Mathematics
1 answer:
Hitman42 [59]4 years ago
7 0

Let the acute angle be 2x.

Its complement is 90 - 2x.

It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

90 < 3x

or, x > 30.

2x > 60

Therefore, the statement is true for all angles that are greater than 60 degrees.

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This is my last question. Please help me!
sesenic [268]

Okay so first you want to simplify the given equation  (7x+3y)(7x-3y)

in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2

Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2

Its as easy as pie!

3 0
3 years ago
P<br> __ =6<br><br> 5<br> What does P mean?
Yuri [45]
To find (P) you turn the fraction into an imoroper fraction 

5x6 =30  

30/5 =6 
p=30 
  
Ps this is easy if your memerized your muliplacation 

5 0
3 years ago
Sign in if y = 6, what is the value of 5y? <br> a. 1 <br> b. 11 <br> c. 30 <br> d. 56
Daniel [21]
Y = 6
5y = 5 x y
5y = 5 x 6
5y = 30.
It is C. 30.

Hope This Helps You!
Good Luck Studying :)
3 0
3 years ago
Factor the polynomial by grouping : x^3+5x^2-6x-30
andrew-mc [135]

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

4 0
3 years ago
What is the length of side AC of the triangle?
ryzh [129]

Answer:

AC = 25 units

Step-by-step explanation:

Given ∠ A = ∠ C then the triangle is isosceles and BC = AB , that is

7x - 1 = 5x + 5 ( subtract 5x from both sides )

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25 units

3 0
3 years ago
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