Which expression represents the area of this figure in square feet?

Answer:

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Step-by-step explanation:

Answer:

→ [tex]90°[/tex]

Step-by-step explanation:

Given that

PQRS is a rhombus

The diagonals PR and QS intersects at O

We know that

In a rhombus the diagonals bisects at each other at 90°

So,

In ∆ POQ,

∠ POQ + ∠OPQ + ∠OQP = 180°

➜ 90° + ∠OPQ + ∠OQP = 180°

➜ ∠OPQ + ∠OQP = 180° -90°

➜ ∠OPQ + ∠OQP = 90°

Therefore, the measure of ∠OPQ + ∠OQP is 90°.

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Similar Questions

In a rhombus ABCD, m∠A = 31°. Point O is a point of intersection of diagonals. Find the measures of the angles of triangle ΔBOC.

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Answer:

Use the Import Data tool. Use the Export Data tool. Enter data manually into the QuickBooks Online forms and check registers. Use the Attachments tool

Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.

Given that y || z:

∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:

∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)

m∠LAM = 180° (def. of straight line angle)

Thus, using the angles addition theorem, we have:

∠1 + ∠2 + ∠3 = m∠LAM

∠1 + ∠2 + ∠3 = 180° (eqn. 2).

Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.

∠5 + ∠2 + ∠6 = 180° (substitution).

Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about triangle sum theorem on:

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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.

We have, y || z.

So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6  (Alternate Interior Angle)

Using Linear Pair

∠1 + ∠2 + ∠3 = m ∠LAM

∠1 + ∠2 + ∠3 = 180°

Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation

∠5 + ∠2 + ∠6 = 180° .

Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°

Learn more about Angle Sum Property here:

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Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.

Answer:

8

Step-by-step explanation:

Ik it is cus ik my number lines

PLS MARK ME BRAINLIEST

Answer:

I think it's 8 I'm not sure

Answer: 3

Step-by-step explanation: toppings are 50 cents so 50 * 3 = $1.50

There are 52 weeks in a year.

Using 50 for the number of weeks in a year is a(n) round.

Rounding is a process which we  approximate the known  number by just scaling it up or down.

In rounding the numbers less than 5 are scaled to one number less than the  given integer and numbers such as 5 or above than 5 are scaled a number greater than the given number .

For example if there were 55 or more than  weeks in a year we can say there are approximately 60 weeks in a year.

But there are 52 weeks so we round it to 50 weeks as 2 is less than 5.

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Answer:

answer is the number 5

Step-by-step explanation:

First you square root 9 which is 3. Then u  3-1=  2.   then u times 2 by 6 which equals = 12. Then minus 7 from this number.    12-7=5            ur number is 5.

[tex]\\ \sf\longmapsto (4x+2)(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x(x-3)+2(x-3)[/tex]

[tex]\\ \sf\longmapsto 4x^2-12x+2x-6[/tex]

[tex]\\ \sf\longmapsto 4x^2-10x-6[/tex]

Answer:

Step-by-step explanation:

(4x + 2)(x - 3) =4x *(x -3) + 2*(x -3)

                    = 4x*x - 3*4x + x*2 - 3*2

                    = 4x² - 12x + 2x - 6   {Combine like terms}

                    = 4x² - 10x - 6

Now

Volume=

Option B

what is this how so i do this

Answer:

sorry I don't know the answer

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

Answer:

Letter b

Step-by-step explanation:

because it is

Answer:

111

Step-by-step explanation:

U calculate the 47°&22°and u cut 69° then u put 180-69=111°

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

Answer:

[tex]y = - \frac{4}{3} x + 3[/tex]

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

8x +6y= 18

Move everything that is not a y term to the right side of the equation:

6y= -8x +18

Divide both sides by 6 so that the coefficient of y is 1:

[tex]y = - \frac{8}{6} x + \frac{18}{6} [/tex]

[tex]y = - \frac{4}{3} x + 3[/tex]

y is 5% more than 110:

y = 110 x 1.05 = 115.50

x = 5% less than y:

x = 0.95(115.50)

x = 109.725

Answer:

64 by 16 feet

Answer:

  1 2/3 hours

Step-by-step explanation:

At constant speed, the time is proportional to the distance.

  time/distance = 2.5 h/150 mi = x /100

  x = 100(2.5/150) h = 5/3 h = 1 2/3 h

It will take the train 1 2/3 hours to travel 100 miles.

Answer:

36

Step-by-step explanation:

60x3 = 180

48x3=144

subtract those 2wo numbers ( 180 and 144 ) and you'll get 36

Answer:

the reciprocal of 1 6/7 is 7/15, so 7/15 and 7/13 have a difference of two in their denominators.

Step-by-step explanation:

hope I helped you! :D

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

(hope this helps can I pls have brainlist (crown))

Step-by-step explanation:

Morgan could work 6 hours lifeguarding and 3 hours walking dogs.

the total number of hours worked in both jobs,

x+y

x+y, must be less than or equal to 11

solve inequalities for y

x+y≤11

y≤11−x

Morgan makes $19 per hour lifeguarding, so in x hours she will make

19x dollars. Morgan makes $6 per hour walking dogs, so in

y hours she will make 6y dollars. The total amount earned 19x+6y

19x+6y must be greater than or equal to

$120

solve inequalities for y

19x+6y≥120

6y≥120−19x

y≥20-19/6x

Harry is  x years old now.

Harry was x-3 years old three years ago.

Three years ago, Jenny was 2(x-3)=2x-6  years old.

Now, Jenny is 2x-6+3 years old.

In three years time, Jenny will be 2x-6+3+3=2x  years old.

In three years time, Ahmed will be 5(2x)= 10x  years old.

Hope this helped you-have a good day bro cya)