Ask question

Ask question

All categories

3 years ago

10

H is the interior of <JAK. <JAH=3x-8 degrees and <KAH= x+2 degrees. What is the measure of all angles?

1 answer:

mart [117]3 years ago

6 0

In this problem, we could use the Angle Addition Postulate property. This property states that all interior angles within should sum of to the total angle. It is specifically stated that point H is interior of angle ∠JAK. Looking at the diagram attached in the picture, line segment AH is drawn in the middle. Therefore, the Angle Addition Postulate tells us that the sum of interior angles JAH and angle HAK, is equal to the total angle JAK.

∠JAK = ∠JAH + ∠HAK
∠JAK = (3x - 8) + (x+2)

But there is a missing information. Without knowing the total angle JAK, we can't solve for x. Consequently, we can't solve for the interior angles. So, let's just assume that ∠JAK = 45°. This is just for sample purposes.

45° = (3x - 8) + (x+2)
45 = 4x - 6
4x = 45+6
4x = 51
x = 12.75°

Therefore, the interior angles are equal to
∠JAH = 3(12.75) - 8 = 30.25°
∠HAK = 12.75 + 2 = 14.75°

You might be interested in

10. Two lighthouses are located on a north-south line.

Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

$\mathbf{\angle A = 180^o - 120^o\ 43'}$

Convert to degrees

$\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}$

$\mathbf{\angle A = 180^o - (120^o +0.717^o)}$

$\mathbf{\angle A = 180^o - (120.717^o)}$

$\mathbf{\angle A = 59.283^o}$

$\mathbf{\angle B = 39^o43'}$

Convert to degrees

$\mathbf{\angle B = 39^o + \frac{43}{60}^o}$

$\mathbf{\angle B = 39^o + 0.717^o}$

$\mathbf{\angle B = 39.717^o}$

So, the measure of angle S is:

$\mathbf{\angle S = 180 - \angle A - \angle B}$ ---- Sum of angles in a triangle

$\mathbf{\angle S = 180 - 59.283 - 39.717}$

$\mathbf{\angle S = 81}$

The required distance is distance AB

This is calculated using the following sine formula:

$\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }$

Where:

$\mathbf{AS = 3742}$

So, we have:

$\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}$

Make AB the subject

$\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}$

$\mathbf{AB= 5783.96}$

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0

1 year ago

Philip's family traveled 3/10 of the distance to his grandmother's house on saturday. They traveled 4/7 of the remaining distanc

Nataly [62]

Okay do 4*10 and 7*10 (you get 40/70) and then do 3*7 and 10*7 (so now you've got 21/70) then add 21/70+40/70 and that's the total distance

6 0

3 years ago

Read 2 more answers

Please help I’ll give Brainly

Charra [1.4K]

Answer:

The last choice

Step-by-step explanation:

5^2 + 12^2 = 13^2

25 + 144 = 169

7 0

2 years ago

Read 2 more answers

What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5

Andrew [12]

N=#

-6(n)
I think this is the answer

8 0

2 years ago

Read 2 more answers

7/9 - 2/8 × 4/9 A.5/9 B.48/72 C.20.9 D.2/3

zysi [14]

Answer:

2/3

Step-by-step explanation:

7/9 - 2/8 x 4/9

Reduce the fraction.

7/9 - 1/4 x 4/9

Reduce the numbers:

7/9 - 1/9

Subtract the fractions.:

6/9 > 2/3

8 0

2 years ago