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1 year ago

What has to be true for the triangles to be congruent?

Mathematics

1 answer:

natita [175]1 year ago

5 0

Answer:

Step-by-step explanation:

Argument

I think the answer is A = N or D. It that is true, then M = C because all three angles are equal which gives similarity. But there is a side involved. OM = CB. Therefore the two triangles are congruent by ASA

Answer

ASA

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A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to

Misha Larkins [42]

Answer:

The equation to determine the length is $4w+2w=48$ .

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = $48\ ft$

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

$l=2w$ ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

$2(l+w)=48$ ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

$2(2w+w)=48$

Applying Distributive property we get;

$2\times2w+2\times w=48\\\\4w+2w=48$

Hence, The equation to determine the length is $4w+2w=48$ .

On Solving the above equation we get;

$4w+2w=48\\\\6w=48$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft$

Now Substituting the value of 'w' in equation 1 we get;

$l=2w=2\times8=16\ ft$

Hence The Length of the exercise mat is 16 feet.

3 0

3 years ago

What is the variable equal to? 6x = 24 x = 5 x = 4 x = 144 x = 3

olganol [36]

Answer:

x=4

Step-by-step explanation:

Divide both sides by 6.

3 0

3 years ago

Read 2 more answers

A hoop, a uniform solid cylinder, a spherical shell, and a uniform solid sphere are released from rest at the top of an incline.

Serjik [45]

Answer:

Step-by-step explanation:

Given

Hoop, Uniform Solid Cylinder, Spherical shell and a uniform Solid sphere released from Rest from same height

Suppose they have same mass and radius

time Period is given by

$t=\sqrt{\frac{2h}{a}}$ ,where h=height of release

a=acceleration

$a=\frac{g\sin \theta }{1+\frac{I}{mr^2}}$

Where I=moment of inertia

a for hoop

$a=\frac{g\sin \theta }{1+\frac{mr^2}{mr^2}}$

$a=\frac{g\sin \theta }{2}$

a for Uniform solid cylinder

$a=\frac{g\sin \theta }{1+\frac{mr^2}{2mr^2}}$

$a=\frac{2g\sin \theta }{3}$

a for spherical shell

$a=\frac{g\sin \theta }{1+\frac{2mr^2}{3mr^2}}$

$a=\frac{3g\sin \theta }{5}$

a for Uniform Solid

$a=\frac{g\sin \theta }{1+\frac{2mr^2}{5mr^2}}$

$a=\frac{5g\sin \theta }{7}$

time taken will be inversely proportional to the square root of acceleration

$t_1=k\sqrt{2}=1.414k$

$t_2=k\sqrt{\frac{3}{2}}=1.224k$

$t_3=k\sqrt{\frac{5}{3}}=1.2909k$

$t_4=k\sqrt{\frac{7}{5}}=1.183k$

thus first one to reach is Solid Sphere

second is Uniform solid cylinder

third is Spherical Shell

Fourth is hoop

3 0

3 years ago

What is the GCF of 24a^3 b and 36ab^2? 2ab 4a^3b 12ab 72a^3b^2

Oksi-84 [34.3K]

12ab will be the right answer.

Since 24a^3 = 12ab(2a^2)

And 36ab^2 = 12ab(3b)

6 0

3 years ago

Read 2 more answers

The world's smallest plane has a length of 12 feet and the world's longest plane has a length of 302 feet. Write an absolute val

iren [92.7K]

An absolute value equation which could represent the length of a plane is : 12 feets ≥ x ≤ 302 feets

Smallest length of a plane = 12 feets

Longest length of a plane = 302 feets

This means that the minimum length of a plane cannot be below 12 feets and the maximum length of a plane cannot be above 302 feets

Using x as the length of a plane :

To represent as an absolute value ; we use inequality :

Minimum length ≥ x ≤ maximum length

12 feets ≥ x ≤ 302 feets .

Learn more : brainly.com/question/18109354

8 0

2 years ago