All categories

3 years ago

If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angles....what is measurement of angle B?

Mathematics

2 answers:

atroni [7]3 years ago

7 0

<h3>Supplementary Angles:</h3>

Angles which adds up to 180°.

<h3>Given:</h3>

A = 2x + 8

B = 2x + 8

The measurement of B.

<h3>Solution:</h3>

A + B = 180°

or, 2x + 8 + 2x + 8 = 180°

or, 4x + 16 = 180°

or, 4x = 180 - 16 = 164°

or, x = 164/4 = 41°

<h2>Answer:</h2>

B = 2x + 8 = 2(41) + 8 = 82 + 8 = 90°

<u>B</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>°</u>

Digiron [165]3 years ago

7 0

Answer:

The measurement of angle B is 90°

Step-by-step explanation:

Solve for x.

Since angle A and angle B are supplementary, they both add up to 180°.

So,

(2x + 8) + (2x + 8) = 180°

2x + 8 + 2x + 8 = 180°

4x + 16 = 180°

4x = 180° - 16

4x = 164°

x = 164 ÷ 4

x = 41

Now substitute the x value to angle B.

∠B = 2x + 8

∠B = 2(41) + 8

∠B = 82 + 8

∠B = 90°

You might be interested in

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

3 years ago

4 Which of the following is a composite number between 80 ard 100?

Firlakuza [10]

Answer: 90

90 is a composite number because:

4 x 15 = 90

10 x 9 = 90

A composite number has more than two factors.

Hope this helps!

8 0

3 years ago

Solve the equation 14=7(2x-4) using two different methods. Show your work. Which method do you prefer? Explain. need help thanks

Jet001 [13]

Answer:

x=3

Step-by-step explanation:

14=7(2x-4)

14/7=2x-4

2=2x-4

2x=2+4

2x=6

x=6/2

x=3

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

14=7(2x-4)

14=14x-28

14x=14+28

14x=42

x=42/14

x=3

5 0

3 years ago

Read 2 more answers

If you spend $4.79. in how many ways can you receive<br> change from a five-dollar bill?

ladessa [460]

Answer:

9 ways

Step-by-step explanation:

Here are the combinations:

Start with dimes (10), change with dimes (10) would be (10, 10, 1), (10, 5,5,1), (10, 5, 6), (10, 11)

With nickels (5), change would be (5,5,5,5,1), (5,5,5,6), (5,5,11), (5,16)

With pennies (1) it would be (21)

8 0

3 years ago

What is the coefficient of x^2 in the expansion of (x+2)^3

goldenfox [79]

(x+2)^3=x^3+2^3+3*x^2*2+3x*2^2=x^3+8+6x^2+12x

The coeficient of the x^2 is 6.

3 0

3 years ago

If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angles....what is measurement of angle B?​

If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angles....what is measurement of angle B?