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Fiesta28 [93]
3 years ago
14

the measure of angle p is Angles P and Q are complementary. the measure of angle Q is (6x+1), and 29 degrees. what is the value

of x?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

<u>Complementary angles mean 90 degree angle.</u>

Angle P + Angle Q = 90°

Angle P ---> 29°

Angle Q --> 6x + 1

<u>Find x</u>

Angle P + Angle Q = 90°

29 + 6x + 1 = 90°

30 + 6x = 90

6x = 90-30

6x = 60

x = 60/6

x = 10

Therefore, the value of x = 10.

Angle Q = 6x + 10 --> 6(10) + 1 --> 61°

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Answer:

8x^2-10x-3

Step-by-step explanation:

(2x-3)(4x+1)

2x(4x+1)-3(4x+1)

8x^2+2x-12x-3

8x^2-10x-3

3 0
3 years ago
Simply the problem.
Marat540 [252]

Answer:

C

Step-by-step explanation:

\sqrt{3}\cdot\sqrt{21}= \\\\\sqrt{3\cdot 21}= \\\\\sqrt{63}= \\\\3\sqrt{7}

Therefore, the correct answer is choice C. Hope this helps!

6 0
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The simplest form is 11/24.
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A swimming pool is open for 7 1/2 hours during a day. The pool keeps one lifeguard on duty at a time and each life guards shift
xz_007 [3.2K]

Answer:

5 shifts

Step-by-step explanation:

7 1/2= 7.5

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6 0
3 years ago
Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And  The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0
3 years ago
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