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Makovka662 [10]
2 years ago
14

The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l

engths of the diagonals.
Which are equivalent equations? Select two correct answers.
Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.

<h3>What is a Rhombus ?</h3>

Rhombus is a quadrilateral with all the sides equal to each other.

It is given that d₁ and d₂ are the lengths of the diagonals.

and Area = a

a = (1/2) d₁ * d₂

  • 2a = d₁ * d₂

       d₁ * d₂ = 2a

       It can be written as

        d₁= 2a/d₂

a = (1/2) d₁ * d₂

  • d₁ * d₂ = 2a

        d₂= 2a/d₁

Therefore Option 2 and 5 are the correct answer.

The options of this question are:

1.  d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2A/d₁

To know more about Rhombus

brainly.com/question/27870968

#SPJ1

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What are the remaining angle measures if the figure is to be a parallelogram?
Kobotan [32]

Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

  • ∠A = ∠C

The angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

<u>Determining the measure of angles of a parallelogram:</u>

As

∠A = 79°

We know

  • ∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

  • ∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

7 0
2 years ago
At the beginning of the semester students reported that they spend an average of 5 hours per day watching television, decreasing
Katyanochek1 [597]

Answer:

(a) X(t)=X(0)+\Delta X*t=5-0.5*t

(b) X(t)=X(0)+\Delta X*t=1+0.5*t

(c) At 4 weeks, when both will be seeing an average of 3 hours of TV.

Step-by-step explanation:

a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=5-0.5*t

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=1+0.5*t

c) The seew which they will be watching the same amount of hours will be the 4th week.

X(t)=5-0.5*t=1+0.5*t\\\\5-1=(0.5+0.5)*t\\\\t=4\, weeks

The amount of hours will be

x(4)=1+0.5*4=1+2=3\,hours

7 0
3 years ago
What is 32,879 rounded to the nearest thousand
nalin [4]
32,879 rounded to the nearest thousand is 33,000. It's because 32,879 is closer to 33,000 than to 32,000.

<span>I hope it will help you with rounding in the future :)</span>
4 0
3 years ago
Read 2 more answers
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rusak2 [61]
Provided options are not clear.

But we know that 36 = 6² = (2·3)² = 2²·3²
7 0
3 years ago
2.8 m<br> 3 m<br> What is the area of this triangle
vlada-n [284]
I think the answer is 7.6m
4 0
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