In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

Answer:

Option 3

Step-by-step explanation:

Given:

AB ≅ CD

Point P lies on AB and point Q lies on CD.

∠APO = ∠DQO = 90°

By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.

Therefore, OP and OQ will be congruent.

Option (3) will be the answer.

Answer:

2m + 6 < 20

Step-by-step explanation:

A flat $6 plus $2 per mile is represented as 2m + 6, with m as the number of miles you can go.

This 2m + 6 must be LESS THAN Michael's $20. Therefore, this gives us:

2m + 6 < 20

2m: $2 per mile

6: the initial cost

20: how much money Michael has

Answer:

D.

Step-by-step explanation:

The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign

For example: y + 3 = 2

To apply the subtraction property, subtract 3 from each side. Thus:

y + 3 = 2 - 3

From the given equation solved, the subtraction property was not applied in any of the steps shown.

Answer:D.)The addition property of equality was not applied to solve this equation

Answer:

add an attachm3nt to make iy clear

Answer:

35/12

Step-by-step explanation:

Opposite / adjacent

Answer:

52%

7 more

Step-by-step explanation:

There are 5*5 = 25 boxes in the grid

13 are shaded

13/25 = 13/25 *4/4 = 52/100 = 52% are shaded

We want 80% shaded

80/100

Divide top and bottom by 4

20/25

We need 20 shaded and have 13 shaded

20-13 = 7

We need to shaded 7 more

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,

(Diagonal)² = (Length)² + (Width)²

240² = Length² + 150²

Length = √(240²-150²)

Length = 187.35 yards

Hence, the length of the rectangular track is 187.35 yards.

Learn more about Pythagoras' Theorem:

https://brainly.com/question/14461977

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Answer:

The answer is correct

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

-2x = -32

x = 16

Answer:

200

Step-by-step explanation:

Given:

The function is:

[tex]f(x)=\sqrt{x-3}[/tex]

To find:

The inequality that is used to find the domain of the given function.

Solution:

We have,

[tex]f(x)=\sqrt{x-3}[/tex]

We know that the radical functions are defined for only positive values of radicand.

It means the given function is defined if the value of (x-3) is greater than or equal to 0.

[tex]x-3\geq 0[/tex]

Adding 3 on both sides, we get

[tex]x-3+3\geq 0+3[/tex]

[tex]x\geq 3[/tex]

The inequality [tex]x-3\geq 0[/tex] is used to find the domain of the given function and the domain of the given function is [tex]x\geq 3[/tex].

Therefore, the correct option is B.

Answer:

The appropriate answer is "0.0124".

Step-by-step explanation:

Given:

Test statistics,

z = 2.5

By using the z-table,

p value for one tailed test will be:

= 0.0062

For two-tailed test,

⇒ [tex]p \ value = 2\times 0.0062[/tex]

                 [tex]=0.0124[/tex]

Answer:

the answer for ratio 16 to 14 = 1:3

Step-by-step explanation:

16:48

8:24

4:12

1:3

Answer:

[tex]y=\frac{5}{2} \:x[/tex]

Step-by-step explanation:

A line with the highest absolute value of slope has the steepest graph

from the option, the highest is 5/2 so, y = 5/2 x is your answer.

OAmalOHopeO

Answer:

Y=5/2x

Step-by-step explanation:

The steepest graph is the one with the largest slope (m) this is because slope is rise over run so the larger the slope the steeper the graph. Hope this helps.

Answer:

3.2 km/h

Step-by-step explanation:

1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

In this situation, one is asked to find the difference between two people's average speed. One is given the following information:

Lena: 24 miles          1.5 hours

Ras:   36km               1 hour 15 minutes

First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{38.4}{1.5}\\\\=25.6[/tex]

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

[tex]1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours[/tex]

Now find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{36}{\frac{75}{60}}\\\\=28.8[/tex]

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

= 28.8 - 25.6

= 3.2

Answer:

Ellipse

[tex]✔ \: \: : { \sf{ {x}^{2} + {y}^{2} = 1 }}[/tex]

Step-by-step explanation:

[tex]{ \sf{circle : \: {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0}} \\ { \sf{parabola : \: {y}^{2} = 4ax }} \\ { \sf{hyperbola : \: {x}^{2} - {y}^{2} = 1 }}[/tex]

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

Answer:

1 3/20

Step-by-step explanation:

23/20

Rewrite

20/20 + 3/20

1 3/20

Answer:

36

Step-by-step explanation:

9×4=36 so money spent will be 36 dollars

Answer:

3, 1, –1, –3, ... arithmetic

4, 3, –3, –4, … neither

2, -1, ½,-¼ ... geometric

Step-by-step explanation:

3, 1, –1, –3, ...

We are subtracting 2 from the previous term

This is an arithmetic sequence

4, 3, –3, –4, …

There is no number that we can add to each term to get the next

There is no number that we can multiply to each term to get the next

neither

2, -1, ½,-¼ ...

We can multiply by -1/2 to get the next term

This  is a geometric sequence

Answer:

They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16  so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

Answer:

[tex]K' = 83^o[/tex]

Step-by-step explanation:

Given

[tex]K = 83^o[/tex]

Reflection: [tex]y= 2[/tex]

Required

K'

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

[tex]K' = K[/tex]

[tex]K' = 83^o[/tex]

Answer:

51

Step-by-step explanation:

1. Approach

One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.

One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).

2. Find the area of (ABC)

The formula to find the area of a triangle is the following:

[tex]A=\frac{b*h}{2}[/tex]

Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]

3. Find the area of (ACDE)

The formula to find the area of a rectangle is as follows:

[tex]A=b*h[/tex]

The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:

[tex]A=7*6\\\\A=42[/tex]

4. Find the area of the total figure

To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:

[tex]9+42= 51[/tex]

Step-by-step explanation:

Algunos aspectos importantes que debes incluir en tu informe son los siguientes:

Para saber cual es el sistema de riego mas adecuado debemos hacer un análisis primero de las necesidades y requerimientos del cultivo o vegetación ,asi como saber con exactitud cuales son las dimensiones del terreno y las condiciones del clima del lugar.

Lo anterior nos ayudara a elegir  un sistema de riego adecuado que nos permita suplir las necesidades de nuestro cultivo y a la vez reducir costos .

De los métodos de riego que existen ,los sistemas  automatizados e informatizados surgen como una gran alternativa para controlar el uso del agua a la vez que permite disminuir costos por el gran ahorro que representa, así mismo este tipo de riego permite una mejor distribución del recurso hídrico por toda el área.

Por lo general estos sistemas de riego están centralizados en un único punto de control lo que facilita su mantenimiento así como la prevención de futuras anomalías que se pudieran presentar.

Answer:

hi?

Step-by-step explanation:

Answer:

Me need my points :D                    

Step-by-step explanation: