All categories

3 years ago

Two angles are complementary. The first angle is 2x degrees. The second angle is (x+30) degrees. Determine the larger angle

Mathematics

1 answer:

Molodets [167]3 years ago

7 0

larger angle = 50°

complementary angles sum to 90° , hence

2x + x + 30 = 90

3x + 30 = 90 ( subtract 30 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

thus 2x = 2 × 20 = 40° and x + 30 = 20 + 30 = 50°

the larger angle is x + 30 = 50°

You might be interested in

Find the value of X. Help please lol.

Readme [11.4K]

Answer:

Find similar sides that are close to 58°

Step-by-step explanation:

Triangle all degrees should ad's up to 180°

5 0

3 years ago

Does anyone know the answer ? :(

weeeeeb [17]

Answer:

If it a khan you can go take a hint and try to find it

5 0

3 years ago

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the lo

Brilliant_brown [7]

Answer:

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular) = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

$( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)$

Now,as k is the length of the side, so it cannot be negative.

⇒ k = 6.24 cm

Hence, the length of the longer leg is 6.24 cm.

6 0

3 years ago

Which equation shows that the Pythagorean identity is true for 0 = 180°?

Romashka-Z-Leto [24]

Option C is correct.

3 0

3 years ago

Read 2 more answers

The sum of -3 and 12 increased by 5

aev [14]

-3+12+5=
-3+14=
17-3=14

The answer is 14.

First combine 12 and 5 to get 17. Then take the sign of the bigger number which is positive. Then subtract the bigger number from the smaller number to get 14z

4 0

3 years ago

Read 2 more answers