Choose the best estimate for the length of a paperback book.

A.
4 in.


B.
8 in.


C.
14 in.


D.
18 in..

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

 outside the circle:

- They are equal in length

- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

- The two triangles LAO and LBO are congruent ⇒ SAS

- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

  angle between them in one triangle equal to the

  corresponding sides and angles in the second triangle,

  then the two triangles are congruent

∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

Answer:

Refer to step-by-step.

Step-by-step explanation:

12.  x = 28

BC = x

AB = 96

AC = 100

We use the Pythagorean theorem to find the value of x.

a² + b² = c²

x² + 96² = 100²

x² + 9216 = 10000

x² = 10000-9216

x² = 784

√x² = √784

x = 28

13. x = 64

a² + b² = c²

48² + x² = 80²

2304 + x² = 6400

x² = 6400 - 2304

x² = 4096

√x² = √4096

x = 64

14. YES and 25 = 25

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

So this means that AB is tangent to the circle.

15. NO and 45 ≠ 49

a² + b² = c²

3² + 6² = 7²

9 + 36 = 49

45 = 49

So this means the AB is not tangent to the circle.

16. x = 4.5 and P = 52

To find the value of x, we need to determine the value of our hypotenuse.

QU is congruent to QT, therefore, QT = 4

UR is congruent with SR, therefore, UR = 13

PS is congruent to AB, therefore:

2x = 9

Divide both sides by 2

x = 4.5

The perimeter of a triangle is:

P = a + b + c

a = 9 + 4 or 13

b = 2(4.5) + 13 or 22

c = 4 + 13 or 17

P = 13 + 22 + 17

P = 52

17. x = 13 and P = 72

TJ is congruent to UJ, therefore, TJ = 13

x = 13

The perimeter of a parallelogram is:

P = 2(a+b)

a = HR + RK

b = KU + UJ

a = 13 + 5 or 18

b = 5 + 13 or 18

P = 2(18 + 18)

P = 2(36)

P = 72

18. x = 8 and P = 80

We know that part of the whole of 26 is 18 because one side is congruent to 18.

to find the value of the other half, we simply subtract 18 from 26.

26 - 18 = 8

x is congruent to 8, therefore x = 8

The line segment 14 is congruent to the opposite segment of x, therefore making the value 14.

So then we have:

a = 8 + 14 or 22

b = 26

c = 18 + 14 or 32

P = a + b + c

P = 22 + 26 + 32

P = 80

19. x = 6 and P = 52

Now we have the case of x + 2 is congruent to 8.

x + 2 = 8

Combine like terms.

x = 8 - 2

x = 6

Now that we have the value of x, we can simply look for the value of the line segment attached to it.

4 is congruent to the line segment attached to x + 2, therefore the value is 4.

To find the perimeter we have to add all sides together.

P = (8+5)+(5+9)+(9+4)+(8+4)

P = 52

20. x = 5, y = 2, z =10, and P = 68

Let's take this one step at a time.

First we look for x.

2x + 2 = 3x - 3

Combine like terms.

2x - 3x = -3 - 2

-x = -5

Divide both sides by -1.

x = 5

Now let's get the value of y.

5y - 2 = 3y + 2

Combine like terms.

5y - 3y = 2 + 2

2y = 4

Divide both sides by 2.

y = 2

Now let's look for z.

34 - 2z = z + 4

Combine like terms.

-2z - z = 4 - 34

-3z = -30

Divide both sides by -3.

z = 10

Now that we have the values of x, y, and z. We can substitute them to find the values of our segments.

2x + 2

2(5) + 2 = 12

3x - 3

3(5)-3 = 12

5y - 2

5(2) - 2 = 8

3y + 2

3(2) + 2 = 8

z + 4

10 + 4 = 14

34 - 2z

34 - 2(10)

34 - 20 = 14

Now that we have our values let's look for our perimeter.

P = a + b + c

P = (12 + 8) + (12 + 14) + (14 + 8)

P = 20 + 26 + 22

P = 68

Answer:

166

Step-by-step explanation:

5/2=2.5

415/2.5

=166

Answer:

Option A. $1713.98

Step-by-step explanation:

You have to calculate your parents' monthly fixed expenses by the given expenses list.

Rent = $998.50

Groceries ( bi-weekly ) = $195.40 Monthly groceries = (195.40×2)

Charge card = $258.90

Cell phone = $65.78

Name brand Khakis for work (store brand optional ) = $34.95

Total expenses are 998.50 + (195.40×2) + 258.90 + 65.78

= $1713.98

Option A. $1713.98

Answer:

Consumer Math Exam Part 1 Answers:

1. Barter

2. Charge Card

3. Principal

4. Interest accrued

5. Exchange Rate

6. Debtor

7. Debit Card

8. High Interest Rate

9. Credit Score

10. Collateral

11. Cash

12. Lower your mortgage interest rate

13.brand name khakis

14. $1,213.13

15 9 oz

16. $111.59

17. $183.09

18. $2803.86

19. $52.12

20. $413.83

21. $62.43

22. 10 dozen

23. $25.46

24. $825.75

25. $24.05

26.$52.74

27. $5.25

28. $35.86

29.$16.27

30. $1580.16

31. $3.72

32. $1344.32

33. $18.50 hour

34. $1748.13

35. $510.01

36. the debt ration remains the same

Step-by-step explanation:

The difference between the square of 80 and the square of 20 is 6000.

The student's question appears to ask for the difference between the squares of two numbers, specifically square 20 and square 80.

To find this difference, each number must be squared and then the smaller result subtracted from the larger one.

Squaring a number means multiplying the number by itself, so square 20 (which is 20²) equals 400 and square 80 (which is 80²) equals 6400.

Next, we find the difference by subtracting the smaller square from the larger one:

6400 (square 80) - 400 (square 20) = 6000

This calculation reveals that the difference between the square of 80 and the square of 20 is 6000.

Answer:

x = -10

Step-by-step explanation:

You're looking for a number that gives -1000 when cubed. In other words, you're looking for the cubic root of -1000.

In fact, cubic root and cube are one the opposite of the other, meaning that

[tex] a^3=b \iff \sqrt[3]{b}=a[/tex]

So, you have

[tex]x^3=-1000 \iff x = \sqrt[3]{-1000} = -10[/tex]

Answer:

D

Step-by-step explanation:

5/5 -1/5=4/5

Step-by-step explanation:

Use the distributive formula to solve for x:

a(b + c) = ab + ac

-3(4x - 2) = 21 - 4(1 + 4x)

1. Use distributive property:

-12x + 6 = 21 - 4 - 16x

2. Simplify:

-12x + 6 = 17 - 16x

3. Add 16x to both sides

-12x + 16x + 6 = 17 - 16x + 16x

4. Simplify:

4x + 6 = 17

5. Subtract 6 from both sides

4x + 6 - 6 = 17 - 6

6. Simplify

4x = 11

7. Now, divide both sides by 4

4x/4 = 11/4

8. Simplify:

x = 11/4 <------ Answer

Hope this Helped!!

~Shane

Answer:

x = 2.75

Explanation:

Solve for x:

Use distributive property.

−3(4x − 2) = 21 − 4(1 + 4x)  

Combine like terms.

-12x + 6 = 21 - 4 - 16x

Add -12x on both sides.

-12x + 6 = 17 - 16x

+ 12x             + 12x

Subtract 17 on both sides.

6 = 17 - 4x

-17  -17

Divide -4 on each side to get x alone.

-11 = -4x

----   -----

-4      -4

And you get your solution to x.

2.75 = x

Check:

Substitute 2.75 to x.

−3(4(2.75) − 2) = 21 − 4(1 + 4(2.75))  

Multiply 2.75 by 4.

-3(11 - 2) = 21 - 4(1 + 11)

Distribute.

-33 + 6 = 21 - 4 - 44

Subtract 21 by 4.

-33 + 6 = 17 - 44

Subtract.

-27 = -27

Answer:

14

Step-by-step explanation:

Answer

Hope this helps!

Answer:

25 mph

Step-by-step explanation:

Weren't there several possible answer choices?

175 miles

--------------- = 25 mph

  7 hrs

180 - 11 = 169

So b = 169 degrees.

Answer:

not

Step-by-step explanation:

Negation is turning a positive statement into a negative one. The positive form of the sentence is: It is raining.

Adding the word 'not' makes it negative (not positive): It is NOT raining.

The negation of the given statement is It is raining.

In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.

Given statement

P : It is not raining.

~P : It is raining

Hence, The negation of the given statement is It is raining.

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C. Is the answer.. because A- can't be a whole number so x that out. integer can't have a decimal x that out. rational number are like square roots and so. so c is the best answer.

Answer: D

Step-by-step explanation:

Since it is a negative it can’t be a whole number. D is the right answer because 0 is a rational number.

Answer:

[tex]\large\boxed{-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=6\dfrac{1}{4}=6.25}[/tex]

Step-by-step explanation:

[tex]-5\dfrac{1}{2}+7\dfrac{3}{4}-(-4)=-5\dfrac{1}{2}+7\dfrac{3}{4}+4\\\\\bold{METHOD\ 1}\\\\\text{Convert to the decimal:}\\\\-5\dfrac{1}{2}=-5.5\\\\7\dfrac{3}{4}=7.75\\\\-5.5+7.75+4=6.25\\\\\bold{METHOD\ 2}\\\\\text{Find the common denominator.}\\\\LCD=4\\\\-5\dfrac{1}{2}=-5\dfrac{1\cdot2}{2\cdot2}=-5\dfrac{2}{4}\\\\-5\dfrac{1}{2}+7\dfrac{3}{4}+4=-5\dfrac{2}{4}+7\dfrac{3}{4}+4=(-5+7)+\left(-\dfrac{2}{4}+\dfrac{3}{4}\right)+4\\\\=2+\dfrac{1}{4}+4=6\dfrac{1}{4}[/tex]

the slope is 2

4/2= 2

Answer:

2 1/3 yards each

Step-by-step explanation:

8 yards / 3 equal pieces = 8/3 yards for each piece or 2 1/3.

Answer: 2 2/3 yards

Step-by-step explanation:

The ribbon is 8 yards long

it is cut in 3 equal pieces so

8 yards divided by 3 yards = 2 2/3 yards

You can solve this by setting up a proportion. 4/6 = x/9. Cross multiply to get 6x=36. Divide both sides by 6 to get x=6.

The length of the missing segment is 12 inches.

We know that the two triangles are similar, so the ratio of their corresponding side lengths is equal.

Let x be the length of the missing segment.

We then  have the following equation:

x/13 = 12/26

= 12/26 * 13

x = 12 inches

Therefore, the length of the missing segment is 12 inches.

In conclusion, An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.

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12 inches = 1 foot.

144 inches = 1 square foot.

To find 4 square feet, you need to multiply by 4.

144 * 4 = 576

576 inches = 4 square feet

You're correct, t represents seconds

Answer:

option C. [tex]KL=2*JL[/tex]

option D. [tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]

option F. [tex]JK=\sqrt{3}*JL[/tex]

Step-by-step explanation:

step 1

we know that

In the right triangle JKL

[tex]sin(30\°)=\frac{JL}{KL}[/tex]

[tex]sin(30\°)=\frac{1}{2}[/tex]

so

[tex]\frac{1}{2}=\frac{JL}{KL}[/tex]

[tex]KL=2*JL[/tex]

step 2

[tex]cos(30\°)=\frac{JK}{KL}[/tex]

[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]

so

[tex]\frac{\sqrt{3}}{2}=\frac{JK}{KL}[/tex]

[tex]JK=\frac{\sqrt{3}}{2}*KL[/tex]

step 3

[tex]tan(30\°)=\frac{JL}{JK}[/tex]

[tex]tan(30\°)=\frac{1}{\sqrt{3}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{JL}{JK}[/tex]

[tex]JK=\sqrt{3}*JL[/tex]

Answer:

the image of the dilation a reduction or an enlargement of the original figure

Step-by-step explanation:

The scale factor will be within the figure

Answer:

Reduction, 1/2

Step-by-step explanation:

We can already see that the prime figure is smaller, so we can justify that it is a reduction.

We can look at the points of the original figure and if we divide them by 2, we get the prime figure coordinates so we can conclude that the scale factor is 1/2.

There is no solution for the given equation |x+5|=−3.

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

The equation |x+5| = -3 has no solutions in the real number system because the absolute value of any real number is always non-negative, and can never be negative.

Therefore, there are no values of x that make the left-hand side of the equation equal to -3, and the equation has no solutions.

Graphically, this means that there is no point on the number line where the distance from that point to -5 is equal to -3.

The solution set for the equation |x+5| = -3 is the empty set .

Hence, for the given equation |x+5|=−3 has no solution.

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The answer is D. 35

You do 95-32=63 then, you do 63 x 5/9= 35.

Answer:

lol

Step-by-step explanation:

Answer:

a= 1/2p-b

Step-by-step explanation:

p=2a+b

divide by 2 on both sides

1/2 p = a+b

subtract b from both sides

1/2 p - b = a

flip equation (not needed, just personal preference)

a= 1/2p-b

(Sorry if I didn't understand well enough and got it wrong)

Answer:

51

Step-by-step explanation:

Process exponents and division before performing addition, that is

49 + 64 ÷ 32 ← perform division

= 49 + 2 ← finally addition

= 51

To find the area of circle

formula

[tex]a = \pi \: r {}^{2} \\ [/tex]

So,

Diameter is 26

to make radius

26÷2=13

Now we got the radius 13

Apply in the formula

[tex]a = \pi \: (13) {}^{2} \\ a =530.92 [/tex]

The answer is 530.92

if you wana Round it 530.93

Hope this Help:))

Answer:

to not over eat an get the right amount of servings

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

6.1 s  

Step-by-step explanation:

h = -16t² + 600

When the sack reaches the ground, h = 0.

   0 = -16t² + 600

16t² = 600

  t² = 600/16

  t² = 37.5

   t = 6.1 s

It will take 6.1 s for the sack to reach the ground.

It  takes  6.1 s for the sack to reach the ground.

We have given that the expression

h = -16t² + 600

at ground height is 0

Therefore,When the sack reaches the ground, h = 0.

[tex]0 = -16t^2 + 60016t^2 = 600 t^2 = 600/16 t^2 = 37.5 t = 6.1 s[/tex]

Therefore ,It will take 6.1 s for the sack to reach the ground.

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