Ask question

Ask question

All categories

3 years ago

13

Find the measure of angle K.

1 answer:

BabaBlast [244]3 years ago

7 0

Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°.

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.

You might be interested in

Taxi fare in Tampa cost a base fee of $4 plus an additional $0.85 for each mile traveled how much would a person pay to taxi far

barxatty [35]

Taxi fare in Tampa costs a base fee of $4 plus an additional $0.85 for each mile traveled. 17 miles * . 85 = 14.45 + 4.00 = 18.45 would a person pay to take a taxi from work to home if the distance is 17 miles. This answer has been confirmed as correct and helpful.

4 0

3 years ago

Sam makes some bread rolls. He gives 2/5 of the bread to his neighbor and 4/9 of the remainder to his cousin. He has 15 tools le

Cerrena [4.2K]

Answer:

Sam initially made 45 bread rolls

Step-by-step explanation:

Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =

2x/5 bread rolls to his neighbor.

The remainder would be x - 2x/5 =3x/5

He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45

=4x/15

He has 15 bread rolls left

Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor

x = 15 + 4x/15 + 2x/5

Taking LCM of 15 and cross multiplying

15x= 225+4x + 6x

15x = 225 +10x

15x-10x = 225

5x = 225

x = 225/5 =45

Sam initially made 45 bread rolls

4 0

3 years ago

PLEASE HELP FAST!!!

Leni [432]

Answer:

Hello,

I just think that it is A

Why you may ask?

Because it has a Zero and that is an undefined number than

Step-by-step explanation:

Please I want brainest

6 0

2 years ago

120 books increased by 55%

Novay_Z [31]

<span> To find 55% of 120 books, multiply 120 x .55
Then add that answer to the original 120.</span>

120 + 55% = 186

6 0

3 years ago

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

2 years ago