All categories

3 years ago

Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

8 0

Answer: 28.8°

Step-by-step explanation:

∠A = 5(∠B) + 7.2°

∠B = ∠B

Since they are on a straight line, they form a linear pair (sum = 180°)

∠A + ∠B = 180°

Use Substitution:

5(∠B) + 7.2° + ∠B = 180°

Add like terms:

6(∠B) + 7.2° = 180°

Subtract 7.2° from both sides:

6(∠B) = 172.8°

Divide both sides by 6:

∠B = 28.8°

Anvisha [2.4K]3 years ago

6 0

Answer

The answer is 28.8

You might be interested in

Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

8 cm What is the area of the circle

Arturiano [62]

Πr2.. is the equation..

6 0

2 years ago

What is the solution to the equation 2^(x+4) -12- 20? O x=0 O x=1 O x=2 O x=9

masya89 [10]

The answers is 2x+4−12−20

6 0

3 years ago

Read 2 more answers

What is the product of -2x^3+x-5 and x^3-3x-4 ?

murzikaleks [220]

To find the product of -2x^3+x-5 and x^3-3x-4, we need to multiply each term in the first polynomial by the second polynomial. (So, x^3 - 3x - 4) times ....
-2x^3 = -2x^6 + 6x^4 + 8x^3
x = x^4 - 3x^2 - 4x
-5 = -5x^3 + 15x + 20
If we add all these together, we get (-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20)

6 0

3 years ago

Please help me !!!!!!!!

astraxan [27]

It's C the missing side is 9 units long so since cosine is adjacent divided by hypotenuse it would be 9/41

5 0

3 years ago

Read 2 more answers