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vazorg [7]
3 years ago
13

A and B are complementary angles. If m_A = (6x + 29) and m

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
6 0

Answer:

m∠A=77°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of 90°. Since m∠A = 6x+29 and m∠B = x+5, we can write the following equation to solve for x:

6x+29+x+5=90

Solving for x, we get:

6x+29+x+5=90

7x+34=90 (Simplify LHS)

7x+34-34=90-34 (Subtract 34 from both sides of the equation to isolate x)

7x=56 (Simplify)

\frac{7x}{7}=\frac{56}{7} (Divide both sides of the equation by 7 to get rid of x's coefficient)

x=8

Therefore, m∠A=6x+29=6(8)+29=48+29=77°. Hope this helps!

almond37 [142]3 years ago
6 0

Answer:

The measurement of angle A is: 77°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles.

Given angles are:

m∠A = 6x+29

m∠B = x+5

With respect to the definition, the sum of both angles will be 90°

Writing this mathematically we get

A+B = 90\\6x+29+x+5 = 90\\7x+34=90\\7x = 90-34\\7x = 56\\\frac{7x}{7} = \frac{56}{7}\\x = 8

Putting the value of x in the expression for angle A

A = 6x+ 29 = 6(8)+29 =48+29\\A = 77

Hence,

The measurement of angle A is: 77°

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2 years ago
What is the value of 5a + 7b <br> if a = 4 and b = 3?? <br> a : 41<br> b : 12<br> c : 43 <br> d : 35
MAXImum [283]
<h3>Answer:</h3><h3>41</h3><h3>Step-by-step explanation:</h3><h3>multiplication and addition</h3><h3>5x4=20</h3><h3>7x3=21</h3><h3>20+21=41</h3>
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Is is square root of 1.6875 a rational number
mamaluj [8]

<em><u>Question:</u></em>

Is square root of 1.6875 a rational number ?

<em><u>Answer:</u></em>

Square root of 1.6875 a rational number is not a rational number

<em><u>Solution:</u></em>

Given that we have to find square root of 1.6875 and determine if it is rational number or not

Let us first find square root of 1.6875

\sqrt{1.6875} = 1.29903810568

Let us understand about rational number

A rational number is a number that can be expressed as a fraction (ratio) in the form \frac{p}{q} where p and q are integers and q is not zero.

When a rational number fraction is divided to form a decimal value,  it becomes a terminating or repeating decimal.

So the number 1.29903810568 is not a rational number

<em><u>In other words we can say,</u></em>

Only the square roots of square numbers are rational. Here 1.6875 is not a perfect square. So it is not rational number

4 0
3 years ago
A local school has was evaluated the the Education Department and received the
Angelina_Jolie [31]

Answer: 79

Step-by-step explanation:

Given the following :

Graduation Rates:

Grade:82

Weight: 50%

Passing Rates:

Grade: 75

Weight: 30%

Enrollment Numbers:

Grade: 60

Weight: 10%

Career readiness:

Grade: 95

Weight: 10%

Overall score : Σ(grade × weight)

(82 × 50%) + (75 × 30%) + (60 × 10%) + (95 × 10%)

= (41 + 22.5 + 6 + 9.5)

= 79

Hence, overall score is 79

5 0
2 years ago
When building a house, the number of days required to build varies inversely with with the number of workers. One house was buil
Helga [31]

Let d represent number of days and n represent number of workers.

We have been given that when building a house, the number of days required to build varies inversely with with the number of workers.

We know that the equation y=\frac{k}{x} represents the relation where y is inversely proportional to x and k is the constant of proportionality.  

So our required equation would be d=\frac{k}{n}

Upon substituting our given values, we will get:

19=\frac{k}{35}

k=19\cdot 35

k=665

Since constant of proportionality is 665, so our equation would be d=\frac{665}{n}.

To find the number of days it will take to build a similar house with 5 workers, we will substitute n=5 in our equation as:

d=\frac{665}{5}

d=133

Therefore, it will take 133 days for 5 workers to build a similar house.

5 0
3 years ago
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