1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ira [324]
3 years ago
8

In ΔLMN, \overline{LN}

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

\bold{\angle NLM = 10^\circ}

Step-by-step explanation:

Given a ΔLMN.

Line LN is extended to point O.

such that:

\text{m}\angle MNO = (5x-13)^{\circ}

\text{m}\angle NLM = (x-4)^{\circ} and

\text{m}\angle LMN = (2x+19)^{\circ}

To find:

\text{m}\angle NLM=?

Solution:

Kindly refer to the attached image for the given triangle and dimensions of angles.

Let us recall the external angle property of a triangle:

The external angle of a triangle is equal to the sum of two opposite internal angles.

i.e.

\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14

Putting the value of x in \angle NLM.

\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}

You might be interested in
A triangle has sides with lengths of 6 inches, 6 inches, and 10 inches. Is it a right triangle?
sdas [7]

Answer:

No

Step-by-step explanation:

Because 6, 6 and 10 are not Pythagorean triplets.

Hence, it is not a right triangle.

{10}^{?}  = 100...(1) \\  {6}^{2} +  {6}^{2}   = 36 + 36 = 72..(2) \\ from \: (1) \: and \: (2) \\  {10}^{2}  \neq {6}^{2}  +  {6}^{2}

3 0
3 years ago
Look at the Schoology problem provided below.
lys-0071 [83]

Answer:

k = 4 units

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

k² + 7.5² = 8.5²

k² + 56.25 = 72.25 ( subtract 56.25 from both sides )

k² = 16 ( take the square root of both sides )

k = \sqrt{16} = 4

6 0
3 years ago
Read 2 more answers
Express your answer as a polynomial in standard form.
olganol [36]

Answer:

Step-by-step explanation:

= 9 - 7x

3 times 2 -7 x + 3

6 - 7 x + 3

3 0
3 years ago
6. Dawn lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did dawn pa
jekas [21]

7.25 u need to add 2.25+5=7.25

8 0
3 years ago
2.
victus00 [196]

Answer:

With a vertex (h, k) at (0, 3) and given that  a = -3, then the equation of this parabola in vertex form is as follows:

    y = a(x - h)2 + k

    y = -3(x - 0)2 + 3

    y = -3x2 + 3

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Write the standard form of the equation of the hyperbola 4x2 − 9y2 − 16x − 36y − 56 = 0.
    10·1 answer
  • Find an equation of the line that has intercepts (1,0) and (0,4).
    15·1 answer
  • Is the ordered pair (1, 2) a solution to this system
    13·1 answer
  • For every dollar Billy makes he has to pay .15 cents to his dad for rent. If he makes $827 dollars,how much money does Bi;;y hav
    7·1 answer
  • A fast food restaurant was selling 3 boxes of 8 chicken nuggets for $25.90. A competing restaurant was sellling 3 boxes of 3 chi
    14·2 answers
  • Explain how can detemine whether or not the ratios 4/2 and 8/6 form a proportion?
    10·1 answer
  • A convex hexagon has interior angle measures of 150 degrees, 3x, 2x, 4x + 24, and 3x + 50.
    15·1 answer
  • Walmart pays $2.50 for a 30 pack of individual chips. They markup the chips by 319%? How much is the 30 pack of chips at Walmart
    14·2 answers
  • Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.
    9·1 answer
  • Please help now, I will give Brainliest!!! :D
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!