PLEASE ITS DUE IN 5 MINUTES I WILL MARK BRAINLIEST!

Step-by-step explanation:

To prove that two lines are perpendicular, when all we have are those two lines, we can use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

Our diagonals intersect at point O, so we'd need to show the two linear angles formed at that intersection point are equal, and we can do that with triangle congruency.

A rhombus is a parallelogram, so we will use what we already know about parallelograms - that the diagonals bisect each other.

It is then easy to show that the triangles  ΔAOD and  ΔAOB are congruent using the Side-Side-Side postulate, and from that that ∠AOD ≅ ∠AOB.

And now, since ∠AOD and ∠AOB are a linear pair, we use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

PROOF

(1) ABCD is a rhombus //Given

(2) AB=AD                     //definition of rhombus

(3) AO=AO                    //Common side, reflexive property of equality

(4) BO=OD // A rhombus is a parallelogram, a parallelogram's diagonals bisect each other

(5) △AOD≅△AOB   //Side-Side-Side postulate.    

(6) ∠AOD ≅ ∠AOB     //Corresponding angles in congruent triangles (CPCTC)

(7) AC⊥DB     //Linear Pair Perpendicular Theorem

The converse of this is also true: if a parallelogram's diagonals are perpendicular, it is a rhombus.

Answer:

36/40 - A, 32/40 - B, 28/40 - C, and 24/40 - D

Step-by-step explanation:

Answer:

18 is ur answer

Answer:

Step-by-step explanation:

12 (x + 2) - 4x = 4 (2x + 11) - 20

12 + 24 - 4x = 8x + 44 - 20

36 - 4x = 8x + 24

36 - 24 = 8x - 4x

12 = 4x

----   ----

 4     4

3 = x

-x = -3

x = 3

Answer:

Q5 ) A 80 UNITS²

pls give me brainliest

Answer:

(5.x)+(5.2)

Step-by-step explanation:

Hope it helps you......

Answer:

nah

Step-by-step explanation:

Answer:

8, 12, 16, 20

Step-by-step explanation:

those are the domains

is this the answer you're looking for? I'm sorry I'm confused

Answer:

Step-by-step explanation:

Step-by-step explanation:

6 = 3(-1) +9 yes this is true

5(-1) +6 = 1 Yes this is true

so yes it's a solution because it works in both equations.

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

100 gallon tbh rn because the spider ddint take much

Answer:

k = 5

Step-by-step explanation:

4k^2 = 100

4k^2/4 = 100/4

k^2 = 25

k=5

Answer:

C

Step-by-step explanation:

Answer:

exponential;increase

Step-by-step explanation:

answer is C

Answer:

there would be 40,960 tree frogs i think

Step-by-step explanation:

Answer:

640 tree frogs

Step-by-step explanation:

If 1 month = 4 weeks

3 months = 12 weeks (3x4)

After 2 weeks the frogs double to 20

After 4 weeks the frogs double to 40

6 weeks, it doubles to 80

8 weeks, it's 160

10 weeks it's 320

12 weeks, it's 640

Answer:

y = x / -4

Step-by-step explanation:

Hope that helps!

2nd one

hope it helps you

The net of the pyramid is given by figure B

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

A net is a two-dimensional representation of a three-dimensional shape that, when folded along the edges, forms the shape of the solid.

In the case of a pyramid, the net consists of a polygonal base and triangular faces that meet at a common vertex.

The number of triangular faces depends on the type of pyramid (triangular, square, pentagonal, etc.).

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

#SPJ2

Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

Step-by-step explanation:

[tex] \sin(45) = \frac{x}{5} \\ \frac{1}{ \sqrt{2} } = \frac{x}{5} \\ x = \frac{5}{ \sqrt{2} } = 3.535[/tex]

[tex] \sin(45) = \frac{y}{5} \\ y = \frac{5}{ \sqrt{2} } = 3.535[/tex]

Answer:

[tex]\frac{5\sqrt{2} }{2 }[/tex]

Step-by-step explanation:

x=y

45-45-90 equation is x-x- x square root of 2

Answer:

155

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer:

split then d the trinangle with the base and the height and do the rectangle as length times width

Step-by-step explanation:

Answer: 1152

Step-by-step explanation:

Answer:

One solution.

A system of linear equations has one solution when the graphs intersect at a point.

I hope it's helpful!

Answer:

a) $300 in interest

b) $1800 account total

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 1500(.04)(5)

I = 300

A = P + I

1800 = 1500 + 300

Answer:

125/6= 20.8 gallons

you have to find the angles inside the triangle first so

- 180-109 = 71° (angles on a straight line add up to 180°)

- 55° (vertically opposite angles)

71+55= 126

180-126= 54

x=54°