All categories

2 years ago

Given ΔMNO, find the measure of ∠LMN.

Mathematics

2 answers:

Viefleur [7K]2 years ago

7 0

Answer:

Option D.

Step-by-step explanation:

Given information: MN ≅ NO

Isosceles triangle property : If two sides of a triangle and congruent then the angles opposite those sides are congruent.

Using Isosceles triangle property we get

$\angle NMO\cong \angle NOM$

Segment LM forming a straight angle with segment MO.

$\angle LMN+\angle NMO=180$

$\angle NMO=180-\angle LMN$

Segment OP forming a straight angle with segment MO.

$\angle NOP+\angle NOM=180$

$\angle NOM=180-\angle NOP$

Since $\angle NMO\cong \angle NOM$ , so

$180-\angle LMN\cong 180-\angle NOP$

$\angle LMN\cong \angle NOP$

It is given that measure of angle NOP is 104 degree.

$m\angle LMN=104^{\circ}$

Therefore, the correct option is D.

Novay_Z [31]2 years ago

3 0

Answer:

104°

Step-by-step explanation:

If segments NO and NM are congruent, then angles NMO and NOM are congruent. So, their supplements, angles NML and NOP are congruent. That is ...

∠NML ≅ ∠NOP = 104°

∠NML = 104°

You might be interested in

A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a lin

GrogVix [38]

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

3 0

2 years ago

A bowl is the shape of a hemisphere and made out of thick clay. The diameter of the outside bowl is 44.6 cm. And the diameter of

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Ive already explained this somebody else asked if you find it you will have the answer

3 0

2 years ago

A sunglassez store bought $5000 worth of sunglasses. The store made $9000, making a profit $20 per pair of sunglasses. There wer

julia-pushkina [17]

200 because 5000/200 is 25 and add the profit to that to get 45. 9000/200 is 45. Sorry if that doesn't make sense :/

3 0

2 years ago

What is the volume of the pyramid?

s2008m [1.1K]

Answer:

$16\sqrt{3}$ $cm^{3}$

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. </em>

<em>What is the volume of the pyramid?</em>

My answer:

As we know, The volume of a pyramid = $\frac{1}{3}$ base area × its height

Given:

Side lenght of the base is; $4\sqrt{3} cm$

=> The area of the base is $12\sqrt{3}$ $cm^{2}$

In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: $tan(30) = \frac{BC}{AC}$

<=> BC = $4\sqrt{3}*tan(30)$

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = $\frac{1}{3}$ $12\sqrt{3}$ $cm^{2}$ * 4 cm

= $16\sqrt{3}$ $cm^{3}$

5 0

2 years ago

Read 2 more answers

A square rotated about its center by 360º maps onto itself at(1,2,3,4) different angles of rotation. You can reflect a square on

Sladkaya [172]

A square rotated about its center by 360º maps onto itself at 90°, 180°, 270° and 360° - 4 different angles of rotation.

You can reflect a square onto itself across two diagonals and two segments that connects the middlepoints of opposite sides - 4 different lines of reflection.

7 0

2 years ago