Mathematics High School

Geometry please help-
Find PQ

Geometry Please Help-Find PQ

Answers

Answer 1

Answer:

PQ = 29

Step-by-step explanation:

Lengths of the two tangents from a external point to the circle is equal

14x - 13 = 8x + 5  {add 13 to both sides}

    14x = 8x + 5 + 13

   14x  = 8x + 18

14x - 8x = 18

      6x =  18

       x = 18/6

x = 3

PQ = 14*3 - 13

      = 42 - 13

     =  29

Answer 2

Answer:

PQ = 29

Step-by-step explanation:

As we know that,

[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.

[tex]\dashrightarrow\bf{14x - 13 = 8x + 5 \: .... \: (Adding \: 13 \: to \: both \: the \: sides)} \\ \\ \dashrightarrow\bf{14x = 8x + 5 + 13} \\ \\ \dashrightarrow\bf{14x = 8x + 18} \\ \\ \dashrightarrow\bf{14 - 8x = 18} \\ \\ \dashrightarrow\bf{6x = 18} \\ \\ \dashrightarrow\bf{\frac{\cancel{18}}{\cancel{6}}} \\ \\ \dashrightarrow\boxed{ \bf \red{x = 3}} \: \bigstar[/tex]

We've been asked to find out PQ;

[tex]:\implies\tt{PQ = 14x - 13} \\ \\ :\implies\tt{PQ = 14 \times (3) - 13} \\ \\ :\implies\tt{PQ = 42 - 13} \\ \\ \implies\boxed{ \tt\blue{PQ = 29}} \: \bigstar[/tex]

Thus,

The length of PQ is 29.

Related Questions

Chau and Yoko each opened a savings account today. Chau opened his account with a starting amount of $460, and he is going to put in $60 per month. Yoko opened her account with a starting amount of $530, and she is going to put in $50 per month.
Let x be the number of months after today.

(a) For each account, write an expression for the amount of money in the account after x months.

Amount of money in Chau's account (In dollars) =

Amount of money in Yoko's account (in dollars) =

(b) Write an equation to show when the two accounts would have the same amount of money.

Answers

Answer:

A1-60x+460

A2-50x+530

B-60x7+460

50x7+530

Step-by-step explanation:

A1 and A2-since x is equivalent to number of months we multiply the number of months then add it to the original cost to get how much total you get in the account.

B-you add 50 to 530 and 60 to 460 until they equal the same amount in this case its 7 times.

Jeremiah invested
$
800
$800 in an account that pays 3% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Jeremiah would have in the account 14 years after his initial investment. Round to the nearest tenth (if necessary).

Answers

Answer: 1210.1

Step-by-step explanation:

2a + b = 20
show your work

Answers

Answer:

I posted it above!!!

Step-by-step explanation:

hoped I helped:)

Rewrite the number in standard notation.1 times 10^8 power

Answers

Answer: 1*10^8 is 100000000 or 10 followed by 8 zeros

10•10•10•10•10•10•10•10

Angles a and b are ertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Answers

Answer:

Angle a = 17°

Angle b = 17°

Step-by-step explanation:

Angles a and b are vertical angles the measure of angle a is 8x+1 and angle b is 21-2x find each angle measure

Vertical angles are angles that are equal to each other

Step 1

We find x

a = b

Hence,

8x+1 = 21-2x

Collect like terms

8x + 2x = 21 - 1

10x = 20

x = 20/10

x = 2

Step 2

We find each angle

Angle a

8x+1

x = 2

Angle a = 8(2) + 1

= 17°

Angle b

21-2x

x = 2

21 - (2 × 2)

= 21 - 4

= 17°

Therefore:

Angle a = 17°

Angle b = 17°

1/4 + 3 = ??
What’s the answer??

Answers

Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

250 is 1.5cm. How thick is 400 pages

Answers

Answer: 2.4 cm

Step-by-step explanation:

1.5 divided by 250 gives that each page is .006cm. 400 times .006 is 2.4cm

Annie has two equal-sized pies. She served 5/8
of the first one and 1.3 of the second one. What fraction shows the total amount of pie left?

Answers

9514 1404 393

Answer:

 25/24

Step-by-step explanation:

Annie has 1 - 5/8 = 3/8 of the first pie left.

Annie has 1 - 1/3 = 2/3 of the second pie left.

The total fraction of pie left is ...

  3/8 + 2/3 = (3·3 +8·2)/(8·3) = 25/24 . . . of a pie left

Answer:

25/4

Step-by-step explanation:

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

does anyone know this :C

Answers

1.) 6 cups

2.) 4 pints

3.) 12 pints

4.) 2 gallons

5.) 40 cups

6.) 64 ounces

7.) 20 quarts

8.) 5000 mL

9.) 9 liters

10.) 6 cups

11.) 7 pints

12.) 6 quarts

13.) 17,000 mL

14.) 22 liters

15.) 2 gallons

Answer:

1.) 6 cups

2.) 4 pints

3.) 12 pints

4.) 2 gallons

5.) 40 cups

6.) 64 ounces

7.) 20 quarts

8.) 5000 mL

9.) 9 liters

10.) 6 cups

11.) 7 pints

12.) 6 quarts

13.) 17,000 mL

14.) 22 liters

15.) 2 gallons

Step-by-step explanation:

You are at a restaurant. You are ordering a drink. You can choose small or large. Then you can choose between sprite, diet coke, coke, and dr pepper. How many choices or combinations do you have in total? How did you get that answer? What if now you had to choose lid or no lid? And straw or no straw? How many in total?

Answers

Answer:

so in all it's 4.

Step-by-step explanation:

1: for the drink size.

1: for the kind of drink you want.

1: for the lid or no lid.

1: for the straw or no straw

if the measures of the angles of a triangle are in the ratio 1: 2: 3 find the number of degrees in the smallest angle

Answers

Answer:

Smallest angle = 30

Step-by-step explanation:

Ratio = 1 : 2 : 3

Angles are  x ,2x , 3x

Sum of all angles of triangle = 180

x +2x +3x = 180

           6x = 180

            x = 180/6

           x = 30

how are below 0, -10 and -20 related?

It's an emergency! PLEASE HELP​

Answers

Answer:

-10 is subtracted from each one starting from 0

hope it helps

Find the measure of CP

Answers

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

[tex]\angle PAB\cong \angle PCB[/tex]            (Given right angles)

[tex]\angle ABP\cong \angle CBP[/tex]            (Given)

[tex]BP=BP[/tex]            (Common side)

Now,

[tex]\Delta ABP\cong \Delta CBP[/tex]        (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

[tex]AP=CP[/tex]

[tex]8=CP[/tex]

Therefore, the measure of CP is 8 units.

Find the length of the missing hypotenuse of the right triangle.
15m is left side , 8m is on bottom

Answers

hypotenuse is 17m

a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √ c²
17 = c

1. What is the product of 1/2x - 1/4 and 5x^2+6
show your work

Answers

Answer:

Step-by-step explanation:

First you would make the equation

(1/2x - 1/4)(5x^2 + 6)

afterwards you would multiply like normal binomials\

5/2x^3 + 3x - 5/4x^2 - 6/4

Then simplify

5/2x^3 - 5/4x^2 + 3x - 3/2

Remember to put them in order from the most roots to the least.

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

m=-1/2

Step-by-step explanation:

(x1,y1)=(9,4)

(x2,y2)=(3,7)

m= y2−y1  / x2−x1

= 7−4  / 3−9

= 3  / −6

m= -1/2

Brainliest

Answer:

(6,5.5)

Step-by-step explanation:

(9+3)/2,4+7/2

(12/2),(11/2)

(6,5.5)

help with this ASAP please

Answers

Answer:

A'(3, 0)

B'(6, -1)

C'(2, -3)

Laura goes to a Mexican restaurant for lunch. She is planning to order either a chicken or beef dish. If there are 8 choices for chicken and 12 choices for beef, how many options does Laura have to choose from?

A) 4

B) 8

C) 12

D) 20​

Answers

Answer:

D

Step-by-step explanation:

just add 8 and 12

How to find the answer to x+8=-52

Answers

subtract 8 from both sides. so you get x= -60

x + 8 = -52

   -8      -8       subtract 8 on both sides, 8's will cancel out on the left side.

_________    solve for -52 - 8, which is 60.

x = -60, final answer

If you have any further questions, please reach out to me :)

A square box has a volume of 12,167. What is the length?
A. 1.5
B. 179.5
C. 47.1
D. 23
Pleaseee help i will mark you brainliest.

Answers

D

This may be wrong

Is 9 a solution of the inequality 20 − f < 11?

Answers

Answer:

no

Step-by-step explanation:

f = 9

20 - 9 = 11

11 < 11 is incorrect

I need help with this question

Answers

Answer:

28 Almonds = 20 Peanuts

14 almonds = 10 peanuts

3.5 almonds = 2.5 peanuts

350 almonds = 250 peanuts

56 almonds = 40 peanuts

Step-by-step explanation:

What is the area of the parallelogram?

Answers

The area is aprox 24.6

PLLLLLZZZZZ HHHELLP MEEEEEE

Answers

The answer will be 24 cuz the inequality sign means equal or less than. And 1/4x24=6 meaning it’s equal

Answer:

from what i remember it should be b≤24

Step-by-step explanation:

Suppose a car gas tank holds 21 gallons of gas. On a trip it uses 2/3 of a tank of gas on a trip. Then it uses 1/3 of what is left in the tank. How many gallons of gas are left in the tank? If u can could u show the work?

Answers

9514 1404 393

Answer:

  2/9 tank

Step-by-step explanation:

After the first trip, 1 -2/3 = 1/3 of the tank remains.

After the second trip, 1 -1/3 = 2/3 of that remains.

After both trips, (1/3 tank)(2/3) = 2/9 tank remains.

6. A hot air balloons each descend 100 feet per minute for 5 minutes. Find the total change in altitude for the hot air balloon.​

Answers

Brainly is forcing me to answer this question, don’t report me

Answer: 500 feet in 5 minutes

Step-by-step explanation:

Multiply 100 times 5 to find out how much feet the hot air balloon descends per minute.

if anna sliced a pizza into 18 pieces and there's 5 people how much do they he all get

Answers

Answer:

3.6 slices

Step-by-step explanation:

Answer:

18 divided by 5 is 3.6 so each person will get 3.6 of the pizza.

1 (2/9) divide 1 (5/6)

Answers

3 1/8 this is now 20 characters long

The radius of a circle is (2x-3). What is a function for the area of the circle?

Answers

Answer

A = pi * r^2

= pi * (2x^-3)^2

= pi * 2^2 * (x^-3)^2

= pi * 4 * (x^-6)

= 4*pi * x^-6

Step-by-step explanation:

classify and degree 2x+7​

Answers

Answer:

Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Step-by-step explanation:

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