Luke had $9. He had to spend 3/4 of it for a birthday gift. How much cash money did
he spend?

The measure of each exterior angles of rectangle is 90°

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

Answer:

small = 22 ; medium = 45

Step-by-step explanation:

3s + 5m = 291

s + 5m = 247

s = -5m + 247

3(-5m + 247) + 5m = 291

-15m + 741 + 5m = 291

- 10m = 291 - 741

- 10m = - 450

m = -450/ -10

m = 45

s = -5(45) + 247

s = -225 + 247

s = 22

Based on the information, it should be noted that the value of tan(A-B) is 234/583.

Given:

tanA = 60/11

sinB = 45/53

A and B are in Quadrant I

We can use the following identity to find tan(A-B):

tan(A-B) = (tanA - tanB)/(1 + tanA*tanB)

Substituting the given values, we get:

tan(A-B) = (60/11 - 45/53)/(1 + (60/11)*(45/53))

= (15/53)/(295/583)

= 234/583

Therefore, the value of tan(A-B) is 234/583.

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After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

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Answer:

-5ab + 5a - 3

Step-by-step explanation:

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

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Answer:

thiếu giữ liệu không thể trả lời được

Step-by-step explanation:

The perimeter of figure is,

P = 24.50 feet

And, the area of the figure is,

A = 45.68 feet²

Since, we know that;

The perimeter of a circle is equal to the circumference

C = 2πr

where,

C is the circumference of the circle

r is the radius of the circle

we have, r = 4 feet

substitute in above equation,

C = 2 × 3.14 × 4

C = 25.12 feet

In the figure

the triangle ABC is a right triangle,

Applying the Pythagoras Theorem find the length side CB

CB² = AB² + AC²

we have, AB = AC = 4 feet

CB² = 4² + 4²

CB² = √32

CB = 5.67 feet

The perimeter of the figure is equal to 3/4 of the circumference plus the length side CB

so we get;

P = 3/4 (25.12) + 5.66

P = 24.50 feet

Now, we know that,

the area of a circle is equal to

A = πr²

where, r is the radius of the circle

we have, r = 4 feet

substitute

A= 3.14 × 4²

A = 50.24 feet²

the area of the triangle ABC is equal to,

A = 1/2 bh

Here, b = √32 ft

h = √32/2 ft

Hence, WE get;

A = 1/2 x √32 x √32/2

A = 8 feet²

Since, the area of the figure is equal to 3/4 of the area of the circle plus the area of the triangle ABC,

A = 3/4 (50.24) + 8

A = 45.68 feet²

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9514 1404 393

Answer:

  $93.70

Step-by-step explanation:

The multiplier each year would be (1 -7%) = 0.93. After 20 years, the price would be multiplied by this value 20 times:

  cost = $400 × 0.93^20 ≈ $93.70

After 20 years of 7% deflation, the cost would be $93.70.

Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

Which equation represents a line which is perpendicular to the line y=-1/7x-3

Step-by-step explanation:

Step-by-step explanation:

To be perpendicular m1(m2)=-1

-1m/7=-1

m=7

So the perpendicular line will have 7 as the linear coefficient

y=7x+b

(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.

Absolute advantage theory

Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.

On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.

Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.

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Answer:

N + 9

Step-by-step explanation:

Answer:

7 weeks, £35, and £21.

Step-by-step explanation:

Every week, Suzie saves £5 and gets £3 from her Mum. Altogether, Suzie gets £8 every week. All we need to do is divide 56 by 8, which gives us 7. Suzie will take 7 weeks to collect enough money. To find out how much she has saved and been given by her mum individually, we need only times these values by 7. 5x7=35, and 3x7=21.

Step-by-step explanation:

Horizontal it is 4

Vertical it is 2

Use of Pythagoras theorem to find AB

AB= root of 4^2 + 2^2

= 4.47

The points= (3,2) and (7,5)

Distance =

\( \sqrt{ ({x}^{2} - x {}^{1} ) {}^{2} + ({ y}^{2} - y {}^{1} ) {}^{2} } \)

=

\( \sqrt({4} - 9) {}^{2} + (5 - 7) {}^{2} \)

=

\( \sqrt{25 + 4} \)

=

\( \sqrt{29} \)

\(5.39\)

5.39 is the answer

Given aData:

The ball is of spherical shape.

The radius is, r = 10 in.

We have, the expression for calculating the volume of a sphere is,

Substituting for r, we get,

Answer:

6

Step-by-step explanation:

8⅓% of 72

Change 8⅓% to an improper fraction, to get.

25/3% × 72

= (25/3)÷(100)×72

= (25/3)×(1/100)× 72

= (25/300) × 72

= 1800/300

= 6

The value of \(8\frac{1}{3}\)% of 72 is 600.

Given that, \(8\frac{1}{3}\)% of 72.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, \(8\frac{1}{3}\)% of 72

25/3 × 72

= 25 × 24

= 600

Therefore, the value of \(8\frac{1}{3}\)% of 72 is 600.

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Answer:

46/5 or 9 1/5

Step-by-step explanation:

I did this question already

Answer:

C

Step-by-step explanation:

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Point N is the image of M .

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given : P is a point on the perpendicular bisector, l, of MN.

To prove : PM = PN

A Reflection is a transformation in which the figure is the mirror image of the other. Every point is a mirror reflection of itself .

By the definition of reflection, point P is the image of itself ,point N is the image of M .

The line l acts as a Line of symmetry  or axis of reflection.

Reflections preserve length so PM = PN.

Thus , point N is the image of M .

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