Mathematics High School

## Answers

**Answer 1**

**Answer:**

**Step-by-step explanation:**

7) PQ // RS, RQ is transversal

**x = 38 ** {Alternate interior angles are congruent}

In ΔPQR ,

x + y + ∠P = 180 {Angle sum property of triangle}

38 + 90 + y = 180

128 + y = 180

y = 180 - 128

**y = 52**

9) Construct XY // AB

XY // AB & AC is transversal

**∠1 = ∠4 ---------(I) {alternate interior angles are equal}**

XY // AB & BC is transversal

**∠3 = ∠5 ---------(II) {alternate interior angles are equal}**

∠1 + ∠2 + ∠3 = 180 {straight line angles}

**∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }**

**Sum of three angles of triangle is 180.Hence proved.**

## Related Questions

A civil servant had a salary of Rs 9600. Tax up to Rs 85000 per year would be exempted. If he paid Rs 4530 as a tax, how much percent of tax was imposed?

### Answers

**Answer:**

4%

**Step-by-step explanation:**

Yearly salary = 9600 * 12 = Rs. 115200

Tax = Rs . 4530

[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]

= 3.93 = 4%

subtract 7 from the sum of 9 and 8

### Answers

**E****x****p****r****e****s****s****i****o****n**** ****g****i****v****e****n****:****-**

**Substaract**** ****7**** ****f****r****o****m**** ****s****u****m**** ****o****f**** ****9**** ****a****n****d**** ****8**** **

**C****o****n****v****e****r****t**** ****i****t**** ****t****o**** ****alg****ebraic**** ****t****e****r****m**

[tex]\\ \sf\longmapsto (9+8)-7[/tex]

First solve the bracket

[tex]\\ \sf\longmapsto 17-7[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

anyone help me please

### Answers

assuming you are solving for x...

Find the area to the left of z = 0.25

A. 0.6012 B. 0.5987 C. 0.4013 D. 0.3988

### Answers

Answer:A?

Step-by-step explanation:

what is the correct answer for this question ?

### Answers

**Answer:**

[tex]b)\ 61m[/tex]

**Step-by-step explanation:**

The given triangle is a right triangle. This means that one can use right-angle trigonometry to solve the triangle. The right angle trigonometric ratios are a set of ratios that relate the sides and angles of a triangle. These ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind, the names (opposite) and (adjacent) change depending on the angle of reference. However, the side (hypotenuse) refers to the side opposite the right angle, this side doesn't change depending on the reference angle.

In this problem, one is given the measure of an angle, and the measure of the hypotenuse, the problem asks one to solve for the side opposite the given angle measure. It would make the most logical sense to use the ratio of sine (sin) to do this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(56)=\frac{h}{73}[/tex]

Inverse operations,

[tex]sin(56)=\frac{h}{73}[/tex]

[tex]73(sin(56))=h[/tex]

[tex]60.519\approx h[/tex]

Calculate how much you could reduce the harmful emissions if your family used public transportation to go to school and work, used energy-efficient lightbulbs in your house, switched to a vegetarian or vegan diet, etc. If you reduce your CO2 emissions by 1/3, how much CO2 will be produced? How much CO2 would you save? How do you think these steps can neutralize carbon footprint emissions?

### Answers

**Answer:**

Large amount of reduction occurs.

**Step-by-step explanation:**

Large amount of reduction occurs in the harmful emissions if the family used public transportation for school and work, used energy-efficient lightbulbs in your house, switched to a vegetarian or vegan diet, etc because these activities produces large amount of carbondioxide gas. 36.44 billion metric tons of carbondioxide gas is produced per year due to human activities so due to reduction in emission about 12 billion metric tons of carbondioxide is produced which is 1/3 of the total emission. these steps can neutralize carbon footprint emissions because only the nature emitted carbondioxide gas in the atmosphere which create balance on the earth.

first answer gets marked brainliest!!!

### Answers

**Answer:**

A

**Step-by-step explanation:**

plz give brainliest

HELP

Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?

60

O 5x + 3y = 18

O 5x - 3y = 30

O 5x - y = 30

O 5x + y = 18

### Answers

**Answer:**

Hello the answer is 5x - y = 30!

**Step-by-step explanation:**

m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3

y = mx + b

O = (5/3)(6) + b

O = (30/3) + b

O = 10 + b

-10 = b

3y = 5x - 30

3y + 30 = 5x

5x - 3y = 30

A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What is the rectangle's length?

### Answers

**Answer:**

8 units

**Step-by-step explanation:**

Area of a rectangle = *Width* multiplied by Length

Substitute in all the known numbers into this formula to get

72 = *(9)* × [tex](2x+4)[/tex]** **

Solve the equation for x, to find out the length

[tex]9(2x+4)=72[/tex]

[tex]2x+4=72/9[/tex]

[tex]2x+4=8[/tex]

[tex]2x=8-4[/tex]

[tex]2x=4[/tex]

[tex]x=4/2[/tex]

[tex]x=2[/tex]

Length of the rectangle = [tex](2x+4)[/tex]

[tex]2(2)+4[/tex]

[tex]4+4=8[/tex]

Help me out plz it’s 14

### Answers

Answer: 15

Explained: Number 7 is 15 if that’s why you was asking help for

**Answer:**

The answer is 216

**Step-by-step explanation:**

can you just fill in the chart

question on the image.

### Answers

For the missing Y, replace x in the given equations and solve for y.

y = 2(-1) -1 = -2-1 = -3

y = 2(2)-1 = 4-1 = 3

The missing y values are -3 and 3

Use the graph, the equations, or a table of values to support a logical argument that the linear functions

are inverses.

(please help)

### Answers

**Step-by-step explanation:**

one line has the slope of -3 (-3/1 meaning that when x increases by 1 unit, y decreases by 3 units).

and this line has the offset of y=-5 for x=0

so, the line equation is

y = -3x - 5

inverse means that we exchange x and y and then solve for y again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

when we look at the second line, we see its slope is -1/3 (when x increases by 3 units, y decreases by 1 unit).

and while we cannot read the offset on the y-axis precisely, we can use a clearly readable point to prove or disprove the equation above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

correct.

so, the equation we got for the inverse function fits exactly with the second line in the graph.

therefore, yes, they are both inverse functions to each other.

The **two **given **graphs **are **inverse **functions of each **other**.

What is a graph?

A **graph **is the representation of the **data **on the vertical and **horizontal **coordinates so we can **see **the trend of the **data**.

One **line **has the slope of** -3 (-3/1** meaning that when **x **increases by **1 **unit,** y** decreases by **3** units).and this **line **has the offset of** y=-5 **for **x=0**

The **line **equation is

y = -3x - 5

**Inverse **means that we exchange **x and y** and then solve for **y** again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

When we look at the **second **line, we see its **slope **is **-1/3 (**when x increases by** 3 units**, y decreases by** 1 unit).**and while we cannot read the offset on the** y-axis **precisely, we can use a **clearly **readable point to **prove **or disprove the **equation **above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

The **equation **we got for the **inverse **function fits exactly with the **second **line in the **graph**.

Therefore the **two **given **graphs **are **inverse **functions of each **other**.

To know more about **graphs **follow

https://brainly.com/question/25020119

#SPJ2

Independent Practice

Which of the following is a recursive formula for a geometric sequence that has first term 7 and common ratio −3negative 3?

A.

an=−3 · 7n−1a subscript n baseline equals negative 3 times left parenthesis 7 right parenthesis superscript n minus 1 baseline

B.

an=7 · (−3)n−1a subscript n baseline equals 7 times left parenthesis negative 3 right parenthesis superscript n minus 1 baseline

C.

a1=−3an=7 · an−1a subscript 1 baseline equals negative 3 line break a subscript n baseline equals 7 times a subscript n minus 1 baseline

D.

a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline

### Answers

**Answer:**

D.

a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline

**Step-by-step explanation:**

Which function forms a geometric sequence when x=1,2,3

F(x)=2-6x

### Answers

**Step-by-step explanation:**

F( 1 ) = 2 - 6( 1 ) = - 4

F( 2 ) = 2 - 6( 2 ) = - 10

F ( 3 ) = 2 - 6( 3 ) = -16

If 2+2 is 4 and 5+5 is 10 what the hell is this

### Answers

Is there supposed to be more to the question or?

Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!

### Answers

**Answer:**

$0.25

**Step-by-step explanation:**

Let's represent the comics by assigning it the letter C.

20C = $5.00

C = $5.00/20

= $0.25

We can confirm this by using the example where he uses 30 comics.

30C = $7.50

C = $7.50/30

= $0.25.

Therefore each comic costs $0.25

A political party sends a mail survey to 1500 randomly selected registered voters in a community. The survey asks respondents to give an opinion about the job performance of the current President. Of the 1500 surveys sent out, 480 are returned, and of these, only 120 say they're satisfied with the President's job performance. The sample is the:

### Answers

**Answer:**

B

**Step-by-step explanation:**

The sample is

A) the voters in his district.

B) the 1500 randomly selected voters receiving the questionnaire.

C) the 120 voters surveyed that are satisfied with the president's job performance.

D) the 480 surveys returned.

USE THE COORDINATES(2,-5)(0,3) OF THE LABELED POINT TO FIND THE POINT-SLOPE EQUATION OF THE LINE

A. Y-2=-4(X+5)

B. Y+5=4(X-2)

C. Y+5=-4(X-2)

D. Y-2=1/4(X-5)

### Answers

**Answer: B**

**Step-by-step explanation: Y+5=4(X-2) in slope-intercept form is Y=-4X+3**

Help lol please lol no really lol

### Answers

**Answer:**

B or the cone with base radius of 1 in and vertical height of 1 in

**Answer:**

B

**Step-by-step explanation:**

It's the only one that refers to a non 3D object. It is also not a cylinder and it has a 1 inch base not 2 inch. Hope this helped. Brainliest Pls?

If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?

A) 6/ m+1

B) 6/ m-1

C) 6/ m+n

D) 6/ m-n

### Answers

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The **value** of** n** is **n= 6/( m+1).**

What is expression?

An **expression **is a set of terms **combined **using the **operations **+, – , x or , /.

**Given**:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

**n= 6/( m+1)**

Learn more about **expression **here:

https://brainly.com/question/14083225

**#SPJ2**

What is the slope of the line described by the equation below Y equals 3X +5￼

### Answers

Answer:

3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b where m = slope and b = y-intercept

In this case, we are trying to find out the slope of the line described by a equation

The slope will be the very first number after the y =

Slope = 3

A basketball player average to 12.5 points per game there are 24 games in a season at the rate how many points with the players scored in an entire game

### Answers

**Answer:**

Wait did you mean how many points will it be after an entire SEASON?

F={(-1, 2), (3, 2), (4,2), (0, 2)} Is Fa function and why/why not?

### Answers

**Answer:**

yes it is a function A

**Step-by-step explanation:**

what is -10/19÷-5/7 but not converted into a decimal please!

### Answers

**Answer:**

14/19

**Step-by-step explanation:**

**Dividing fractions is the same as multiplying by the reciprocal:**

-10/19 ÷ -5/7

-10/19 x -7/5

**Multiply the numerators by each other, as well as the denominators:**

70/95

**Simplify by dividing both the numerator and denominator by 5:**

= 14/19

So, the answer is **14/19**

The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes

### Answers

**Answer:**

B

**Step-by-step explanation:**

r=3 in

h=8 in

Volume of funnel

[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]

Answer:

5.02 is right

Step-by-step explanation:

i hope this helps

Ilhan needs to write in function notation and evaluate this equation at the given value of the

independent variable. What answer should she get? 6x + y = 3; x=3

### Answers

**Answer:**

it should be the second one I hope this help

Yousuf had 117 marbles and Andrew had 23 marbles. Yousuf then gave some of his marbles to Andrew so that Yousuf ended with thrice as many marbles as Andrew. How many marbles did Yousuf give to Andrew?

### Answers

**Answer:**

12

**Step-by-step explanation:**

117+23=140

140/4 = 35

35-23 = 12

The latest online craze is a new game,khan on seven. You get 100 points for playing the game. In addition,you get 50 points for each seven-letter word you make with the ten letter you receive.sal wants to break the record,and he needs 18,000 or more points to do so

### Answers

**Answer:**

how do I get started here

Calcular x en: los datos q faltan

### Answers

Answer:

x = 13

Step-by-step explanation:

No se exactamente como decir esto porque yo ayudo la majoria de los usuario en ingles pero hay que usar un método para describir a x

Un método que se llama Pythagorean theorem

Pythagorean theorem: a^2 + b^2 = c^2 donde a^2 = 5 b^2 = 12 y c^2 = x

Entonces…

5^2 + 12^2 = c^2

Nota: podemos ver que esto esta bien porque el sum de los dos lados suma el mas largo.

Ahora

25 + 144 = c^2

c^2 = 169

Pero eso no puede ser la respuesta porque no tiene sentido a que x sea un lado que mide 169 entonces tenemos que usar sqrt rt

sqrt rt de 169 = 13

x = 13

PLEASE HELP I WILL BE PICKING BRAINLIEST

Given the following equation where A = Area of a rectangle and w = width of the rectangle, what value of 'w' would maximize the area?

A = LW

P = 2L+2W

P = 100

w should be 625 units

w should be 25 units

w should be 0 units

w should be 50 units

### Answers

**Answer:**

25

**Step-by-step explanation:**