which of the following is equivalent to the expression below when x >0?

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Given

Parallelogram PQRS with perpendicular diagonals

Required

Which of the option is true

(a) PQRS can be a rectangle

A rectangle do not have perpendicular diagonals.

Hence, (a) is false

If (a) is false, then (d) is also false

(b) PQRS can a rhombus

The diagonals of a rhombus are not perpendicular.

So (b) is true

No need to check for (c), since only option is true

Answer:

B- Parallelogram PQRS is also a rhombus.

Step-by-step explanation:

Hope this helps

Answer:

The answer is D.

Step-by-step explanation:

It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.

Answer:

B

Step-by-step explanation:

B is an equation, not an expression

It can be deduced that the addition of -3 and 4 will be 1.

It can be deduced that the addition of -3 and 4 will be;

= -3 + 4

= 1

When the winning score in golf is the lowest number, the lowest number is -1.

The value of the expression -273 - (-576) will be:

= -273 - (-576)

= -273 + 576

= 303

Also, -56/4 = -14. The value of the expression (2 - 19) + (-12) will be:

= (2 - 19) + (-12)

= -17 - 12

= -29

The value of -2x = 22 will be:

-2x = 22

Divide both side by -2

-2x/-2 = 22/-2

x = -11

The value of 5 + 3x = -22 will be;

5 + 3x = -22

5x = - 22 - 5

3x = -27

x = -27/3 = -9

5(x + 3) = 35

5x + 15 = 35

5x = 35 - 15

5x = 20.

5x/5 = 20/5

x = 4

The median is the number in the middle when arranged in ascending or descending order. Therefore, the median will be 7.1

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Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

Answer:  $ 126.65

Step-by-step explanation:

149/100)*15 =

(149*15)/100 =

2235/100 = 22.35

15% of $149 is 22.35

so ,

   real price-15% of real price= sale preice

  $149-$22.35=$126.65

Answer:

$ 126.65

Step-by-step explanation:

$ 149 multiply 15 % which is 0.15

Which is $ 22.35

Take $ 149 - $22.35 = $126.65

Answer:

$1.50

Step-by-step explanation:

The computation is shown below:

Given that

The cost of each cupcakes be 0.50 cents

And, the cost of doughnuts be $25

So for two doughnuts the cost would be 2.50

And, for two cupcakes, the cost would be 0.50 × 2 = 1

So, the more amount would be

= 2.50 - 1

= $1.50

Hence, the same would be considered and relevant too

The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.

Two or more expressions with an Equal sign is called as Equation.

Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.

We need to find those two numbers.

Let x and y are the two numbers.

Sum of two numbers is 17

x+y=17..(1)

Difference of two numbers is 3

x-y=3..(2)

From equation 1,

x=17-y

Now substitute this in equation 2.

17-y-y=3

17-2y=3

17-3=2y

14=2y

Divide both sides by 2

y=7

Now add y value in equation 1

x+7=17

Subtract 7 from both sides

x=10

Hence, the two numbers are 7 and 10.

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Answer:

The answer is 338 yw please give brainliest id really appreciate it :) ty

Step-by-step explanation:

8 3/4 + 9 5/9 Add 8 and 9

17 + 3*9/4*9 + 5*4/9*4 Find common denominator

17 + 27/36 + 20/36 Add

17 + 47/36 Convert into mixed fraction

17 + 1 11/36 Simplify mixed fraction

18 11/36. Answer

If you need the decimal form, it is 18.31. But other than that, the answer is 18 11/36.

Answer:

A = $15,696.72

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r/n)^(nt).  Here the number of compounding periods is nt, or (12 per year)(5 years) = 60.

Our formula becomes A = $11,499(1 + 0.062/12)^60, which works out to:

A = $11,499(1 + 0.0052)^60, or

A = $15,696.72

The monthly payment is $15,696.72/60, or $261.61.

Answer: don't know the answer but I hope this helps.

Step-by-step explanation:

Answer:

isosceles triangle

Step-by-step explanation:

the first one is isosceles triangle

Answer:

1.2 cups

Step-by-step explanation:

Divide the total cups (2.4) by the amount of pies (2)

2.4/2 = 1.2 cups of sugar per pie

Hopefully this helps - let me know if you have any questions!

Answer:

-3

Step-by-step explanation:

Slope going down.

From point (-2,3) to (-1,0): Down 3, Over 1 (-3/1)

Answer:

6.4 mins

Step-by-step explanation:

Answer:

⇒ 5/2 min

Step-by-step explanation:

Hong sing total song = 4

Every song takes time = 5/8min

4 song total takes

time = 4×5/8= 20/8

5/2 min

hope it helps..

have a great day!!

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

The first line

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

its not bounded

Step-by-step explanation:

if a sequence is bounded both above and bounded below then we say its bounded. we can only conclude that 3.115 is either upper bound or the lower bound.

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

Answer:

Its A, B, and D.

Step-by-step explanation:

The Tet Offensive considered a turning point in the Vietnam War because:

Troops from the United States and South Vietnam targeted North Vietnamese and Viet Cong hideouts in Cambodia and Laos.

Although being a military defeat, the Tet Offensive was a stunning propaganda win for communists. In fact, it is frequently regarded for changing the tide of the war in their favour.

As Viet Cong rebels invaded rural areas previously held by the South Vietnamese government, the South Vietnamese began to lose authority.

Despite tremendous deaths, North Vietnam secured a strategic triumph with the Tet Offensive, which represented a watershed moment in the Vietnam War and the start of the protracted, agonising American withdrawal from the region.

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Answer:

2.32

Step-by-step explanation:

Given the data:

3, 8, 1, 4, 7

The mean absolute deviation (MAD) :

Σ|x - m| / n

Mean, m = Σx / n

Σx = 23

n = 5

Mean, m = 23 / 5 = 4.6

|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|

(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5

= 2.32

Answer:

L x W x H

Step-by-step explanation:

if my calculations are correct the length is 2 the width is 3 and the height is 3

Therefore the answer is (2 x 3) = 6 x3

So the answer is 18.

Hope it helps, if it is incorrect than i am extremely sorry, wish you the best of luck and have a great day/midday/evening. BYYEEEEEEE