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2 years ago

Find the measure of the numbered angles in the rhombus. The diagram is not drawn to scale.

Mathematics

2 answers:

Serjik [45]2 years ago

7 0

Answer:

C. $m\angle 1=90^{\circ}$ , $m\angle 2=14^{\circ}$ , and $m\angle 3=76^{\circ}$

Step-by-step explanation:

We have been given a rhombus. We are asked to find the angles of our given rhombus.

We know that rhombus is a parallelogram, whose all sides are equal.

Since rhombus is parallelogram, so alternate interior angles will be equal. Therefore, measure of angle 2 is 14 degrees.

The diagonals of rhombus are perpendicular bisector of each other, therefore, measure of angle 1 is 90 degrees.

Since diagonals of rhombus are perpendicular bisector of each other, so they divide rhombus into four congruent triangles.

We can find measure of angle 3 using angle sum property.

$m\angle 3+90^{\circ}+14^{\circ}=180^{\circ}$

$m\angle 3+104^{\circ}=180^{\circ}$

$m\angle 3+104^{\circ}-104^{\circ}=180^{\circ}-104^{\circ}$

$m\angle 3=76^{\circ}$

Therefore, measure of angle 3 is 76 degrees and option C is the correct choice.

blsea [12.9K]2 years ago

3 0

C. m < 1 = 90, m < 2 = 14, and m < 3 = 76 is the measure of the numbered angles in the rhombus. The diagram is not drawn to scale.

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F(x)=x2 what is g(x)?

Oksi-84 [34.3K]

g(x) = (1/4)x^2 . correct option C) .

Step-by-step explanation:

Here we have , $f(x)=x^2$ and we need to find g(x) from the graph . Let's find out:

We have , $f(x)=x^2$ . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !

A . g(x) = (1/4x)^2

Putting (2,1) in equation g(x) = (x/4)^2 , we get :

⇒ $g(2)= (\frac{2}{4} )^2$

⇒ $1\neq \frac{1}{4}$

Hence , wrong equation !

B . g(x) = 4x^2

Putting (2,1) in equation g(x) = 4x^2 , we get :

⇒ $g(2)=4(2)^2$

⇒ $1\neq 64$

Hence , wrong equation !

C . g(x) = (1/4)x^2

Putting (2,1) in equation g(x) = (1/4)x^2 , we get :

⇒ $g(2)= (\frac{1}{4} )2^2$

⇒ $1= 1$

Hence , right equation !

D . g(x) = (1/2)x^2

Putting (2,1) in equation g(x) = (1/2)x^2 , we get :

⇒ $g(2)= (\frac{1}{2} )2^2$

⇒ $1\neq 2$

Hence , wrong equation !

Therefore , g(x) = (1/4)x^2 . correct option C) .

8 0

3 years ago

Write p(x) = 21 + 24x + 6x2 in vertex form.

Helen [10]

To do this, complete the square:

p(x) = 21 + 24x + 6x2 => p(x) = 6x2 + 24x + 21

Rewrite the first 2 terms as

6(x^2 + 4x)

then you have p(x) = 6(x2 + 4x ) + 21

Now complete the square of x^2 + 4x:

p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21

p(x) = 6(x+2)^2 - 3 this is in vertex form now.

We can read off the coordinates of the vertex from this: (-2, -3)

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3 years ago

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Artyom0805 [142]

Answer:

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Step-by-step explanation:

60pg/34hr ---> 30pg/17hr

30pg/17hr ---> (30/17)pg / 1 hr

30/17 = 1 13/17 pages

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vlabodo [156]

Answer:

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Step-by-step explanation:

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myrzilka [38]

Answer:

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