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2 years ago

Can you conclude that this parallelogram is a rectangle? Explain.

Mathematics

2 answers:

Angelina_Jolie [31]2 years ago

8 0

Answer:

Yes, the diagonals are congruent

Step-by-step explanation:

A triangle is a special kind of a parallelogram that has congruent sides. The sides are congruent as they have the same lengths and and angles of bisection.

In other words, the vertically opposite angles will be equal as well.

Since the angles corresponding to the sides of the vertically opposite angles are equal, it means that the sides are also congruent.

Doing a measurement with a protractor proves that the angles formed by the perpendicular lines will be right angles.

maxonik [38]2 years ago

5 0

I think it yes the diagonals are congruent but I can’t really tell

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Expand and Simplify: (3x + 5) (x - 2) -Please Help! Due in for 4:30pm! Xx

Jobisdone [24]

Answer:

I know this is really late but if anyone else needs help I hope this will help those people.

Step-by-step explanation: so expand (3x+5) (X-2) first apply FOIL method: (a+b) (c+d)= ac + ad +bc + bd..... a= 3x, b=5, c=x, d= -2. our end product would be 3xx+3x(-2) + 5x + 5(-2).

Then apply minus-plus rules: +(-a)= (-a)...... we would end up with 3xx-3 times 2x + 5x - 5times 2.

next simplify until we end up with 3x^2 - x- 10

Not 100% sure if this is what your looking for but this is my best educated guess from the question asked.

3 0

2 years ago

In a triangle, measure of one angle is 60º. The measure of one of the remaining two angles is twice the other. Find the measure

inna [77]

As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120

let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40

so the smallest angel of the triangle is 40 degree

7 0

2 years ago

1. Which one of the following statements is true of perpendicular lines?

Dovator [93]

Only D is correct, it intersects at 90 degrees so it cant be obtuse or acute and never intersecting would be parallel lines

7 0

2 years ago

Read 2 more answers

Solve for x.

White raven [17]

Step-by-step explanation:

$25(x - 910) = - 234 \\ 25x - 22750 = - 234 \\ 25x = 22516 \\ x = \frac{22516}{25} \\ x = 900 \frac{16}{25}$

4 0

2 years ago

A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.

Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

C = 4.32n + 20

Equation for revenue:

Revenue = Number of balls made × price of each ball

R = 8.32n

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue = total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0

3 years ago