Answers
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:
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
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°
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:
PLLLLLZZZZZ HHHELLP MEEEEEE
Answers
Answer:
from what i remember it should be b≤24
Step-by-step explanation:
2a + b = 20
show your work
Answers
Answer:
I posted it above!!!
Step-by-step explanation:
hoped I helped:)
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.
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:
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
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:
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
Find the length of the missing hypotenuse of the right triangle.
15m is left side , 8m is on bottom
Answers
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
289 = c²
√289 = √ c²
17 = c
How to find the answer to x+8=-52
Answers
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 :)
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
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.
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:
What is the area of the parallelogram?
Answers
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
This may be wrong
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)
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:
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.
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:
........................
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.
Rewrite the number in standard notation.1 times 10^8 power
Answers
Answer: 1*10^8 is 100000000 or 10 followed by 8 zeros
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
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.
1 (2/9) divide 1 (5/6)
Answers
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.
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:
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
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
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