All categories

3 years ago

In the diagram, −→− bisects ∠ .

Mathematics

1 answer:

11111nata11111 [884]3 years ago

4 0

Answer:

x = 9 and ∠ JKM = 59°.

Step-by-step explanation:

See the attached diagram with this question.

∠ JKL is bisected by line KM.

Therefore, angle JKM = angle MKL

Now, ∠ JKM is given to be ( x² - 22 ) and ∠ LKM = ( 6x + 5 ).

So, x² - 22 = 6x + 5

⇒ x² - 6x -27 = 0

⇒ ( x - 9 ) ( x + 3 ) = 0

Therefore, x = 9 or - 3.

∠ JKM = x² - 22 = 59° for x = 9 and ∠ JKM = x² - 22 = - 13° for x = - 3

Since angle JKM can not be negative, so, x = 9 and ∠ JKM = 59°. (Answer)

You might be interested in

Gina is comparing the membership fees for two museums. The art museum charges a one-time fee of $7.25 plus $3.50 per month. - Th

raketka [301]

Answer:

here two links for your answer. https://quizlet.com/325167814/financial-math-flash-cards/ https://quizlet.com/475135130/financial-math-e2020-flash-cards $2.5

Step-by-step explanation:

The art museum charges a one-time fee of $8.25 plus $2.25 per month.

So, the cost function for membership for x months in the art museum f(x) = 8.25 + 2.25x .............. (1)

Again, the science museum charges a one-time fee of $10.75 plus $3.5 per month.

Hence, the cost function for membership for x months in the science museum g(x) = 10.75 + 3.5x ........... (2)

So, from both the equations it is clear that for only joining the monthly charges are zero.

So, f(0) = 8.25 and g(0) = 10.75.

Therefore, Barrett will save by joining the art museum instead of the science museum by $(10.75 - 8.25) = $2.5. (Answer)

Step-by-step explanation:

8 0

3 years ago

The sum of 5 consecutive integers is 110 What is the fourth number in this sequence?

umka21 [38]

The sum of 5 consecutive integers is 110.

Hope it helps :)

7 0

3 years ago

Help plz fast with this question

Ivahew [28]

90-7 =83 degrees

height = 3 miles

divide 3 by the cos of 83 degrees

3/cos(83) = 24.6165

rounded to nearest mile = 25 miles

6 0

3 years ago

Find the length of AB. Leave

vovikov84 [41]

Answer:

AB = 3π

Step-by-step explanation:

See attachment for correct format of question.

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

$Length = \frac{\theta}{360} * 2\pi r$

Substitute 20 for θ and 27 for r

$Length = \frac{20}{360} * 2\pi *27$

$Length = \frac{20 * 2\pi * 27}{360}$

$Length = \frac{1080 \pi}{360}$

$Length = 3\pi$

Hence, the length of arc AB is terms of π is 3π

3 0

3 years ago

What is the solution of the equation 3/4x +5 = -9? 16 3 Done

Licemer1 [7]

X=-56/3

multiply everything by 4 to cancel the fraction which will give you
3x+20=-36

then combine like terms to get
3x=-56

then divide to get x by itself to get

x=-56/3

since this is a weird decimal, leave it as an improper fraction

5 0

3 years ago