image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10

Answer:

x = 0

Step-by-step explanation:

5x=29x

Subtract 5x from each side

5x-5x=29x-5x

0 = 24x

Divide each side by 24

0/24 =24x/24

0 = x

Answer:

As you may know, the addition of all the interior angles of a triangle always adds up to 180°.

So if we know two angles of the triangle, A1, and A2, we can find the third angle as:

A1 + A2 + X = 180°

X = 180° - A1 - A2.

Se with only knowing two angles, we can find the third angle.

So aaa is a criteria equivalent to aa.

Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.

Answer:

1. Expected(Red) in Shipment A = 1,050

2. Expected(Red) in Shipment B = 1,500

3. Company A has highest ratio of red bulbs

Step-by-step explanation:

Given

Shipment A (Light Bulb Express):

Total Light Bulb = 10,080

Sample Size = 48

Red Bulbs = 5

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 5/48

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 5/48 * 10,080

Expected(Red) = 50400/48

Expected(Red) = 1,050

Hence, the expected number of red light bulbs in the entire shipment is 1,050

Given

Shipment B (Light Bulb R Us):

Total Light Bulb = 15,500

Sample Size = 62

Red Bulbs = 6

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 6/62

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 6/62 * 15,500

Expected(Red) = 93000/62

Expected(Red) = 1,500

Hence, the expected number of red light bulbs in the entire shipment is 1,050

The company with highest probability has the highest ratio;

For Company A (Light Bulb Express)

Probability = 5/48

Probability = 0.1042

For Company B (Light Bulb R Us)

Probability = 6/62

Probability = 0.0968

Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;

Answer:

9

Step-by-step explanation:

its perpendicular so you do the negative reciprical

Answer:

The correct answer is

A. 9

Step-by-step explanation:

Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.

Hope this helps!

- Quinn <3

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.

Answer:

380 days

Step-by-step explanation:

Problem in post:

The radius of the orbit of the planet is 59,000,000 km.

The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.

distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km

speed = 41,000 km/h

speed = distance/time

time * speed = distance

time = distance/speed

time = (370,707,933 km)/(41,000 km/h) = 9,042 hours

Now we convert hours into earth days.

1 earth day = 24 hours

9,042 hours * (1 day)/(24 hours) = 376.73 days

Answer: 380 days

Problem in comments:

Nina and Jo both ran an 8 km race.

Nina took 45 minutes to run the whole race.

Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.

If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?

Solution:

They met at 5 km. Let's find out how long it took Nina to run 5 km.

We can use a proportion.

(8 km)/(45 min) = (5 km)/(x)

x * 8 km = 45 min * 5 km

x = [(45 * 5)/8] min

x = 28.125 min

They met after Nina was running for 28.125 minutes.

Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.

speed = distance/time

speed = (5 km)/(24.125 min) * (60 min)/(1 hr)

speed = 12.43523 km/h

Answer: Jo's speed is 12.44 km/h

Answer:

Puppy' present weight = 2250 grams

Puppy last weight = 600 grams

Difference = 2250-600 = 1650

%age increase = (1650/600) x 100

= 275%

Answer:

yes

Step-by-step explanation:

y = –x

Substitute the point into the equation

6 = - (-6)

6 = 6

This is true so the point is a solution to the equation

Since both equal to 0

Do 8

thats because if you simplify you get 8

Answer:

8

Step-by-step explanation:

Let's start off by making both equal to each other, since they are both equal to 0

x²+5x+3=x²+bx+c

let's subtract x² from both sides

5x+3=bx+c

therefore

b=5 and c=3

5+3=8

Answer:

7

Step-by-step explanation:

Regular polygons have the same number of lines of symmetry as they do sides

Answer:

7 lines of symmetry

Step-by-step explanation:

If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.

Answer:

80°

Step-by-step explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

∠ABC= 2*4x= 8x= 80°

Answer:

x = - 2

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Evaluating the numerator

9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus

[tex]\frac{9^{4} }{9^{6} }[/tex]

= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]

and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]

Since bases on both sides are 9, then equate exponents

x = - 2

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

Answer:

The height of the kite above the ground is 102 .44 feet

Step-by-step explanation:

To find the height of the kite above the ground, we will follow the steps below:

let h represent the height of the kite above the ground

we will use trigonometric ratio to solve

SOH CAH TOA

sinФ = opposite/hypotenuse

cosФ=adjacent / hypotenuse

tanФ=opposite / adjacent

from the diagram below

opposite = h

hypotenuse = 130 feet

Ф = 52°

The best trig ratio to use is sin

sin Ф = opposite / hypotenuse

sin52° = h / 130

cross-multiply

h = 130 sin 52°

h=102.44°

The height of the kite above the ground is 102 .44 feet

Answer:

Step-by-step explanation:

Let

( x1 , y1 ) =( 14 , 22)

( x2 , y2) = ( - 5 , 22)

Now the slope of line is given by

Slope(m)

= ( y2 - y1) / ( x2 - x1)

= ( 22 - 22) / ( -5 - 14 )

= 0/-19

= 0

Hope this helps :)

Answer:

B)

Step-by-step explanation:

6x - 9

Here, 6x is a term and -9 is another term

Answer:

Domain = {-6 ≤ x ≤ 2, x ≠ 0}

Range = {1 < y ≤ 6}

Step-by-step explanation:

Answer:

Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A

Range: 1<y[tex]\leq 6[/tex]

Step-by-step explanation:

Answer:

120 ft at 0 seconds

Question 2: 12.5 seconds in the air

Step-by-step explanation:

h(x)= -16x^2+120

We want to find the vertex

The vertex is at

h = -b/2a = 0/-32 = 0

The maximum is at 0

h(0) = 0+120 = 120

it occurs at 0 seconds and a height of 120 ft

h(x)= -16x^2+200x

We want to find the zeros of the function

0= -16x^2+200x

Factor out  -8x

0 = -8x(2x -25)

Using the zero product property

-8x=0       2x-25 =0

x =0       2x =25

               x=25/2

The ball starts on the ground   at 0 seconds and lands at 12.5 seconds

Answer:

x=139

Step-by-step explanation:

since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)

Answer:

z = 139°

Step-by-step explanation:

LON is a straight angle (an angle with 180°). You can tell just by looking at it.

41° is a supplement (meaning it adds up to 180°) of z.

From there you can just do

180° - 41° = 139°

z° = 139°

hope this help brainliest is always cool

Answer:

60 miles; $30

Step-by-step explanation:

Given:

y = 0.25x + 15 ...........Eq1

y = 0.50x.............Eq2

Where, x = miles and y = Total cost of ranting

Find:

Total cost of ranting.

Computation:

From Eq1 and Eq2

0.25x + 15 = 0.50x

0.25x = 15

x = 15 / 0.25

x =  60 miles

From Eq 2

y = 0.50(60)

y = $30

Answer:

(-3,-6)

x-coordinate = -3

(I think)

Step-by-step explanation:

The pictures show my explanation.

Hope this makes sense! I hope this helps! Have a great day! :)

Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area

Hi!

So, the car travels for 3 hours at 50 miles an hour.

That makes 150 miles.

Then, 40 miles per hour for 7 hours.

That makes 280 miles.

Add it together to get 430 miles

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

Answer:

c-3.4<14

Step-by-step explanation:

We translate the words into an inequality. A number, C, minus 3.4 is less than 14.

c-3.4<14

900000g coz 9 tonnes is like 9000000g

Answer:

900000gm is lighter than 9 tonnes

Step-by-step explanation:

907185 = 1 ton

907185 x 9 = 8164665

You underline how many digits = 7 and see that 900000gm has only 6 digits.