Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.


Statements

Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD

Answer:

angle dfe = 28°(by vertical opposite angle)

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

Answer:

B. negative infinity < x < positive infinity

Step-by-step explanation:

When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for all exponential functions, including this one.

lmk if im incorrect about anything, hope this helps :)

Answer:

x=9

Step-by-step explanation:

So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9

Hope this helps

Question

Find the value of x in 2x – 13 = 5 .

ANSWER

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Hence, this information ( x = 9 )

                                                                                                                                -Hope this helped.

Answer:

C, D, C, A, B

Step-by-step explanation:

Answer:

the anwer is C

Step-by-step explanation:

I hope its help

Answer:

(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]

Step-by-step explanation:

From the first equation:

[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]

From the second equation,

[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

Given

[tex]0<b\le 90[/tex]

[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]

Required

Find b

To solve this, we make use of the following trigonometry rule:

If [tex]\cos(\alpha) = \sin(\beta)[/tex]

Then: [tex]\alpha + \beta = 90[/tex]

So:

[tex]11b + 2 = 12b - 4[/tex]

Collect like terms

[tex]11b - 12b = - 4 - 2[/tex]

[tex]-b = - 6[/tex]

Multiply both sides by -1

[tex]b = 6[/tex]

Factor using the perfect square rule.

( 5 x  −  1 ) ^2

Answer:

Step-by-step explanation:

In this question we have to find the share of each person

First we have to find the sum of all the ratios,

[tex]2 + 3 + 5 \\ = 10[/tex]

Then we have to represent their share as a fraction and then multiply it by the total value,

The share of first person:-

[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]

So the first person share is $90,000

The share of second person:-

[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]

So the second person share is $135,000

The share of third person:-

[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]

So the third person share is $225,000

(This is your answer hope it helps :))

Answer:x>-3

Step-by-step explanation:

Step-by-step explanation:

la respuesta es -12 pero le puedes sacar la mitad osea -6

Step-by-step explanation:

2∠BDA = ∠BCA

2 (3x - 15)° = (2x + 32)°

6x - 30 = 2x + 32

6x - 2x = 32 + 30

4x = 62

x = 62/4

x = 15.5

Answer:

5 5/8

Step-by-step explanation:

This is in the simplest form

Answer:

The area would be 80

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Answer:

length is 5

width is 4

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation

Answer:

1. Clear parentheses on both sides of the inequality and collect like terms.

2. Add or subtract terms so the variable is on one side and the constant is on the other side of the inequality sign.

3. Multiply and divide by whatever constants are attached to the variable.

Step-by-step explanation:

Hope this helps    :)

Answer:

5 triangles.

Step-by-step explanation:

Answer:

5 or 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can find the longest side I.e. Hypotenuse using pythogorean theorem.

[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

This is your answer hope it helps :)

Answer:

17?

Step-by-step explanation:

a squared + b squared = c squared (hypothenuse longest side)

square them, then add them and square root them.

Answer: $36 is discounted from the regular price

Step-by-step explanation:

First, we need to take our given numbers

Originally $90

On sale for %40

Let's now use this equation

90(n)

n will equal 0.40 due to it being %40 off

90(0.40)

$36

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

Answer:

The mode is the number that shows up the most in the set.

Step-by-step explanation:

1 4 6 3 7 1 1 4 9 1

mode is 1

The mode represents the most frequent number that is, the number that occurs the highest number of times in a set of numbers.

Given that,

Define the term 'Mode'.

Since, The mode, in a set of numbers, represents the value that appears most frequently.

It is a measure of central tendency, providing insights into the most common or popular value within the data set.

For example, let's consider the set of numbers: 3, 5, 5, 1, 2, 4, 5, 3, 5, 6.

In this set, the mode is 5 because it appears more frequently than any other number.

So, The mode, in a set of numbers, represents the value that appears most frequently.

To learn more about the mode visit:

https://brainly.com/question/29288774

#SPJ6

Answer:

Total coins Liam at the start = 9

Total money Liam in the start = €4.5

Total money Liam in the start = 450 cent

Step-by-step explanation:

We know that

1€ = 100 cent

⇒1 cent = 0.01 €

⇒50 cent = 0.5€

Now,

Total money spent = €2.75

Total money left = € 1.75

So, Total money in the initial = Total money spent + Total money left

                                               = €2.75 + €1.75 = €4.5

⇒Total money in the initial = €4.5

Now,

1€ = 100 cent

⇒€4.5 = 450 cent

Now,

As Liam has a stock of 50 cent coins

So, total coins Liam left with = 450/50 = 9 coins

Answer:

2i-15

......................

Answer:3.5

Step-by-step explanation: quick maths