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2 years ago

In parallelogram ABCD, ACBO. Is ABCD a rectangle? No O Yes O Cannot be determined

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

8 0

Answer: Yes
Because ABCD is a parallelogram, its opposite sides are equal. (matching angles of congruent triangles). DCB = 90o . Hence ABCD is rectangle, because it is a parallelogram with one right angle.

belka [17]2 years ago

3 0

Answer: B. YesStep-by-step explanation:We have been given that in parallelogram ABCD, D is a right angle. We are asked to determine whether the given parallelogram is rectangle or not.Let us recall parallelogram properties.Opposite angles of parallelogram are equal.Consecutive angles of parallelogram are supplementary.Since D is a right angle, so its opposite angle will be right angle as well and consecutive angles of angle D will be right angles as well.Therefore, the parallelogram ABCD is a rectangle and option B is the correct choice.

Step-by-step explanation:

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If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!

mezya [45]

Answer:

$34^{\circ}$

Step-by-step explanation:

The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.

By definition, an angle bisector divides an angle into two equal smaller angles.

Therefore:

$\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP$

What we're given:

$\angle KJN=\angle LJN=30^{\circ}$
$\angle KLM=\angle JLM=26^{\circ}$

The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:

$\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}$

Substituting given values:

$30+30+26+26+\angle JKP+\angle LKP=180$

Since $\angle JKP=\angle LKP$ ,

$30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}$

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2 years ago

How will adding the value 100 affect the mean and median of the data set 1, 5, 7, 7, 9, 10? A. The mean increases and the median

Ronch [10]

The correct answer her would be A.

6 0

2 years ago

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What is the solution to this system of equations?

Vika [28.1K]

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

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2 years ago

At Gulfport Electronics, Randy earns a monthly salary of $1500 plus a 5% commission of x, his total monthly sales. If his March

Marta_Voda [28]

Answer:

His March Earnings is $20000

Step-by-step explanation:

Given

Required

Determine the monthly sales

Represent the monthly sales with x

The march earnings can be determined using:

Substitute values of March Earnings and Salary

Solve for 0.05x

Solve for x

Hence:

His March Earnings is $20000

6 0

3 years ago

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The circumference (C) C of a swimming pool is 56 feet. Which formula can you use to find the diameter (d) d if you know that C=π

LiRa [457]

Since you are solving for diameter, and the equation is given to you, just isolate the variable for diameter (d).

(C)/π = (πd)/π

d = C/π is your formula you will use.

Plug in 56 for C

d = 56/π

d = ~17.825

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3 years ago

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