Answers
Answer:
RP = 14
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(x+x+2) * (x+2) = (4+6)*4
Combine like terms
(2x+2)(x+2)=10*4
2(x+1)(x+2) = 40
Divide by 2
(x+1)(x+2) = 20
FOIL
x^2+2x+x+2 = 20
x^2 +3x+2 =20
Subtract 20
x^2 +3x-18 = 0
Factor
(x +9) (x-6) = 0
Using the zero product property
x+9=0 x-6 =0
x= -9 x=6
Since the length cannot be negative
x=6
RP = x+2+x = 6+2+6 = 14
Related Questions
PLEASE HELP. BEST ANSWER GETS BRAINLIEST. Find x in the following right triangle
Answers
Answer:
12 dm
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length of the right triangle:
[tex]a^2+b^2=c^2[/tex]
We are given the hypotenuse's length of 13 dm, and a leg length of 5 dm.
Let the missing leg be 'b':
[tex]5^2+b^2=13^2\\\left \{ {{5^2=25} \atop {13^2=169}} \right. \\25+b^2=169\\25-25+b^2=169-25 \leftarrow \text{Subtraction Property of Equality} \\b^2=144\\\sqrt{b^2}=\sqrt{144}\leftarrow\text {Square Root Property of Equality}\\ \boxed{b=12}[/tex]
The missing side length should be 12 dm.
Answer:
12 dm
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + x^2 = 13^2
25 + x^2 =169
Subtract 25 from each side
x^2 = 169-25
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = 12
ms kazenas has 4 pounds of cake mix which she discovers is only 25 of the cake mix she needs to make a whole cake how many more pounds of cake mix does ms kazenas need
Answers
Answer:
Step-by-step explanation:
entire cake = x
4 lbs of cake mix on hand = 25% of x
4 = 0.25x
x = 0.25/4
x = 16 lbs
She will need 16-4 = 12 lbs more
what is the equation of a line that passes through the point (0,8) and is parallel to a line with a slope of 4/5?
Answers
Answer: The answer is y = 4/5x + 8.
Step-by-step explanation:
There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.
Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.
With this information, you can conclude that the equation is y = 4/5x + 8.
The dimensions of the Surf City Community Pool are shown below.
How many cubic meters of water are needed to fill the entire pool?
A: 210
B: 525
C: 735
D: 1050
Answers
Answer:
C: 735
Step-by-step explanation:
We can split the pool into two 3D shapes.
The first rectangular prism on the left would equal 7 * 5 * 15 = 525 cubic meters
The second rectangular prism on the right would equal 7 * 2 * 15 =210 cubic meters.
In total, 525 + 210 = 735 cubic meters
Solve for x: −2x − 8 = −6x + 4 A) 1 B) 2 C) 3 D) 1 2
Answers
Answer:
C.
Step-by-step explanation:
4x = 12
x = 3
Line AB contains points A (-2, 3) and B (4, 5). Line AB has a slope that is
A.zero
B.undefined
C positive
D.negative
Answers
Which fraction is equivalent to 20%? - 1/20 - 2/20 - 4/20 - 5/20
Answers
Answer:
c
Step-by-step explanation:
[tex]\frac{20}{100} = \frac{1}{5} \\\frac{4}{20} = \frac{1}{5}[/tex]
Answer:
4/20
Step-by-step explanation:
4/20=1/5=20%
Write the slope intercept form through: (4, -4) and (4, -1)
Answers
Answer: X=4 ✌️
Step-by-step explanation:
Cards for Candy Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy. How many individual games had they played?
Answers
Answer:
6 games
Step-by-step explanation:
if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.
The number of individual games they played is 6 games.
How many games did they play?Given the cards for Candy two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy.
If one woman had three candies, it is obvious that she must have obtained them from the other woman. She had to give her candy to the other lady because she had only won three games, implying that she must have lost three more.
Therefore, the number of individual games they played is 6 games.
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Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?
Answers
Answer:
144
Step-by-step explanation:
Take the original price and multiply by the discount
180* 20%
180 *.20
36
Subtract this from the original price
180-36 =144
The sale price is 144
Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.
Answers
Answer:
Fatima's unit rate is 9.5 minutes per mile.
Step-by-step explanation:
To compute the one unit value of a variable divide the total values of n variables by n.
It is provided that it took Fatima 19 minutes to run 2 miles.
Then the unit rate at which Fatima runs is:
[tex]\text{Unit Rate}=\frac{19}{2}[/tex]
[tex]=9.5[/tex]
Thus, Fatima's unit rate is 9.5 minutes per mile.
Lower quartile of 6 8 10 12 14 15 15 20
Answers
Answer: The lower quartile is 6
Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.
HELP PLS !!
In the figure, AB || CD and
m<1 = 120°
What is m25?
Enter your answer in the box.
Answers
Answer:
i think 180 not positive
Step-by-step explanation:
If a stack of 45 coins fits snugly in the coin wrapper shown, how thick is 1 coin?
coin
wrapper
d=21.17 mm V=28,470 mm
Answers
Answer:
1.797 mm
Step-by-step explanation:
The key to solving this problem is finding the length of the coin wrapper, or "height" of the cylinder.
The volume of a cylinder equation is:
V = hπr^2
- We want to find h
- We are given diameter and we will want the radius so we divide
21.17/2 = 10.585
r = 10.585
So to find h we manipulate the equation by dividing both sides by pi and r^2
resulting in the following:
h = [tex]\frac{V}{\pi r^2}[/tex]
now substitute given values and we get
h = [tex]\frac{28470}{\pi10.585^{2} }[/tex] = 80.883
Now to find the thickness of a single coin we divide the length of the sleeve (h) by the number of coins in the sleeve (45).
Thickness = 80.883/45 = 1.797 mm
a triangle has two sides of lengths 8and 10 what value could the length of the third side be
Answers
A vendor charges $24 for a souvenir. What is the demand function
Answers
Answer:
depends on the tax, value, and some other factors (i think)
Step-by-step explanation:
When using a straight ladder, it is recommended that the base of the ladder by placed approximately 1/4 the length of the entire ladder away from the wall.
Answers
Answer:
What is the question?
Step-by-step explanation:
Answer:
we need to know the lenght of the ladder so we can calculate for u :)
Step-by-step explanation:
The hexagon has all sides the same length and opposite sides are parallel, but is not a rhombus. Why?!
Answers
Although the sides are equal, it isn't a rhombus because there is 6 sides and not 4.
Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has an expense of $2 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Joshua's total expenses for the driver, gas and truck maintenance were $625. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.
Answers
Let h= the number of hours the driver drove
Let m= the number of miles driven
25h+2m=625
m=50h
System of equations are 25x + 2y = 625 and y = 50x
Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.
Since, Joshua pay the driver $25 per hour of driving
So for x hours pay $ 25x
And also has an expense of $2 per mile driven for gas and maintenance
So for y miles pay $ 2y
Thus, for the driver drove an average of 50 miles per hour
Equation is, y = 50 x
And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.
So equation is, 25x + 2y = 625
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Help. Will give brainliest
Answers
Area B = 6*2 = 12
Area A > Area B
Area = length*width
Answer:
The rectangle (A) has the largest area.
Step-by-step explanation:
To work out the area of the rectangle you have to multiply the width with the height.
A: 3 squares tall, and 5 squares wide. We have to multiply 3 with 5 which equals 15.
B: 2 squares tall, and 6 squares wide. We have to multiply 2 with 6 which equals 12.
The highest answer or area is 15. Which is Rectangle A.
PLEASE HELP ASAP PLEASE PLEASE PLEASE
If you have one apple, and someone gives you three more apples, how many apples do you have? __4__ This is the same idea as adding variables. x+3x = ______. The exponent does not change when adding.
However, when you multiply, you _____________ the exponents. For example x · x · x · =___ Simplifying Negative Exponents : 2^-3 = 1 = 1/8
Write an example for each rule:
Answers
Answer:
First blank- 4x
Second blank- combine
Third blank- X
Hope this helps :3
(Write feedback if incorrect)
Find m ABC. Need help
Answers
Answer:
<ABC = 30°
Step-by-step explanation:
<ABC + <CBD = 90 [Complementary angles add up to 90°]
x+7+2x+14 = 90
3x + 21 = 90
3x = 90-21
3x = 69
Dividing both sides by 3
x = 23
Now
<ABC = 23+7
<ABC = 30°
Answer:
30 degrees
Step-by-step explanation:
Can somebody please explain number 15 and number 18 to me, I'm begging you I cannot do this to save my life I've been trying to do it for an hour now
Answers
NUMBER 15
To solve this problem we want to round to the nearest millionth. We cannot actually write out the entire number because it goes on forever, but we can expand long enough so we can round it the millions place.
One million has six zeroes. This means that a millionth is six decimal places over (0.000001 is one millionth). Same goes for other base ten numbers (100 has two zeroes, one hundredth is two decimal places over)
We see that there is a line over the 45 in our decimal. This means that after this 45 it is going to go 4545454545.... forever. We want to round to the nearest millionth. However, when you round, you need the next digit over. Let’s expand our to the ten millionth (seven digits.)
6.2145454............
Now, we look at our millionths place. The next place over is four. Therefore, we round down. Therefore, the answer is D) 6.214545
QUESTION 18
Solving questions like this is very simple. With proportions (two equal ratios of fractions) the product of the diagonal sides are equal. So, you just multiply the two numbers that are diagonal from each other and then divide it by the other number and you have your x. If you want, I can explain to you more why this works.
7(2/7)=2
2/2 1/4= 8/9
Therefore, the answer is 8/9.
I hope this has been helpful! If you need anymore help please ask! :D
Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius
Answers
Answer & Step-by-step explanation:
In order to solve this problem, it is important that we know the original form of this equation.
(x - x1)² + (y - y1)² = r²
The equation we are given is: (x - 1)² + (y + 20)² = 196
Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.
√196 = 14
So, the radius is 14.
Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.
100pts: A room has 5 statues. You want to break the statues, one by one. In many different orders can you break these 5 statues?
Answers
Answer:
120
Step-by-step explanation:
You break the first statue
There are 5 different ways since there are 5 statues.
Now there are 4 statues left
There are 4 different ways since there are 4 statues.
Now there are 3 statues left
There are 3 different ways since there are 3 statues.
Now there are 2 statues left
There are 2 different ways since there are 2 statues.
Now there is 1 statues left
There is 1 different ways since there is 1 statue.
5*4*3*2*1
Total ways
n!5!5(4)(3)(2)(1)120waysTransforma adjectivele:gustos,curat,luminoasa,inalta in substantive,apoi in verbe.Alcatuieste enunturi cu fiecare notiune care a rezultat.
Repede,va rog! :((
Answers
Answer:
To solve this problem, we need to transform the adjectives below to verbs.
Yummy : SavorClean : To cleanShiny : To shineWe can form the following sentences:
My siste savors the meal, and she thinks is yummy.I clean my apartment every single day, it's so clean.The sun shines all day, it's a shiny object.20. How many minutes would it take a train to travel
90 kilometers at a constant speed of 120 kilometers per
hour?
F. 30
G. 40
H. 45
J. 80
K. 90
Answers
Answer:
45
Step-by-step explanation:
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
It takes a train to travel 90 kilometers at a constant speed of 120 kilometers per hour is 45.
We have given that,
F. 30
G. 40
H. 45
J. 80
K. 90
What is the speed?Speed is measured as the ratio between distance and time and the SI unit of speed is m/s.
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
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NEED ANSWER FAST PLSSS
Answers
Answer:
1/2
Step-by-step explanation:
sind/D = sinf/F
sind/12 = sin90/15
sind = (12xsin90/15)
sind = 4/5
what is causation in a scatter plot
Answers
Answer:
A scatter plot displays data about two variables as a set of points in the x y x y x y -plane and is a useful tool for determining if there is a correlation between the variables. Causation means that one event causes another event to occur. Causation can only be determined from an appropriately designed experiment.
Step-by-step explanation:
Example: Correlation between Ice cream sales and sunglasses sold. ... Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.
Look at the photo to understand more
19. How many yellow-collared macaws would
have a combined mass of 1 kilogram?
20. Is the combined
mass of two red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? Explain.
21. Which macaw has a mass closest to 1 kilogram?
BEST ANSWER GETS BRAINLESST A FOLLOW AND A LIKE AND 5 STARS ON THERE ANSWER( you don't have to answer all)
Answers
Q20) 3kg as 225 x 2 = 500 plus 800 x 3 = 2400 and 500 + 2400 = 2900 which is closer to 3000g which is 3kg
Q21) the blue and gold macaw as 1kg = 1000g and 800g is closet to that
