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
Nezavi [6.7K]
3 years ago
10

∠LMN and ∠PQR are complementary angles. Find m∠LMN if m∠LMN = (4x-2) and m∠PQR= (9X+1)

Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

<h2>m∠LMN = 26°</h2>

Step-by-step explanation:

Since ∠LMN and ∠PQR are complementary it means that the sum of their angles is 90°

To find m∠LMN , add both m∠LMN and m∠PQR and equate it to 90 to find x then substitute the value of x into the expression for m∠LMN

That's

m∠LMN + m∠PQR = 90

4x - 2 + 9x + 1 = 90

13x - 1 = 90

13x = 90 + 1

13x = 91

Divide both sides by 13

x = 7

From the question

m∠LMN = (4x-2)

m∠LMN = 4(7) - 2 = 28 - 2

We have the final answer as

<h3>m∠LMN = 26°</h3>

Hope this helps you

You might be interested in
Which statement represents the biconditional statement of the conditional statements?
riadik2000 [5.3K]

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

3 0
3 years ago
The prism has a surface area of 1312 mm2.
777dan777 [17]
So each dimention is 32 by 8 by 10
so the surface area=2 times(8 times 10)+(2 times (32 times 10))+(2 times (8 times 32))=2 times 80+2 times 320+2 times 256=1312

if halved
just divide each by 2
(2 times 4 times 5)+(2 times 16 times 5)+(2 times 4 times 16)=(2 times 20)+(2 times 80)+(2 times 64)=40+160+128=328
the new surface area is 328 mm^2
4 0
3 years ago
(PLSSSS HELP, MY FATE IS IN YOUR HANDS) Determine which three out of the six points shown below are a solution to the equation x
alexandr402 [8]

Answer:

The required points are -

(-2,8), (7,5), (1,7)

4 0
3 years ago
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s
ozzi

Answer:

10.9\ \text{m/s}^2

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

\mu = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2

La aceleración del bloque es 10.9\ \text{m/s}^2.

8 0
3 years ago
Can I get help with this ​
LUCKY_DIMON [66]

Answer:

i cant awnser it when ist sideways

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • How much larger is 400 than 40?
    14·2 answers
  • You have 2 quarts of orange juice and 1 pint of cranberry juice to make a fruit punch.then you use 1 quart more of ginger ale th
    12·1 answer
  • After having a pool built in their backyard, the Harrisons have contracted to have a fence installed around the pool. They want
    7·1 answer
  • Which pairs make the equation x-9y=12 true
    9·1 answer
  • Find measure &lt; BPD <br> A. 9 degrees<br> B. 146 degrees <br> C. 155 degrees <br> D. 14 degrees
    15·2 answers
  • How do I solve this problem?
    6·1 answer
  • Q4. An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculat
    14·1 answer
  • How many siginifcant figures are in the number 27.3004 6, 3, 5, 4
    5·2 answers
  • Simplify 3(6g+2) -5g
    5·1 answer
  • 1
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!