The diagram shows two parallel lines cut by a transversal.


If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?

Enter the correct answer in the box.

Hi there!  

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I believe your answer is:  

He identified the incorrect x-value.

See explanation below.

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Here’s why:  

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[tex]\text{General Point-Slope Form is:}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\(x_1,y_1) -\text{A point that is given.}\\\\m -\text{Slope}[/tex]

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[tex]y-2 = \frac{2}{3} (x-x_1)\rightarrow y-2 = \frac{2}{3} (x-(-3))\rightarrow y-2=\frac{2}{3} (x+3)[/tex]

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The point in the equation should be: (-3, 2).

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Hope this helps you. I apologize if it’s incorrect.  

The correct points of the line will be (-3,2).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the point (3,2) is on the line y-2 = 2/3(x+ 3). Satisfy the equation with the given point and check.

y-2 = 2/3(x+ 3)

2-2 = (2/3)(3 + 3)

0 = 4

To make left hand side and right hand side equal the value of x coordinate should be -3.

y-2 = 2/3(x+ 3)

2-2 = (2/3)(3 + 3)

0 = 0

Therefore, the correct points of the line will be (-3,2).

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Answer: 14 cm

Step-by-step explanation:

Answer:

R=14 cm

total area= πr²

=22/7*196=616 cm²

r2= 3.5 cm

area of the small circles= 2*πr²=2*12.25*22/7=77 cm²

length of rectangle=3

breadth=1

area =lb=3 cm²

area of the small circles+area of rectangle=77+3=80 cm²

remaining area=616-80=536 cm²

The factors of the given trinomial are (3x-2)(x+5).

Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.

Given is a trinomial 3x²+13x-10, we need to factorize it,

So,

= 3x²+13x-10

To factorize a trinomial, we do find the product of the product of a and c (ax²+bx-c) and find its two factors so that we can add or subtract so that we can find the middle term (b) of the trinomial,

Here,

a = 3, c = 10

a × c = 30

Now,

15 and 2 are the factors of the 30, also 15 - 12 = 13 which is the middle term of the trinomial,

Therefore,

3x²+13x-10 = 3x²+15x-2x-10

= 3x(x+5)-2(x+5)

= (3x-2)(x+5)

Hence, the factors of the given trinomial are (3x-2)(x+5).

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Answer:

a. 20

b. 30

c. 75

b. 600 / 2000 * 100% (Change it to same unit)

3 / 10 * 100%

30%

You can slove every question by this method.

and dont forget to give me the brainest.

Answer:

128 degrees

Step-by-step explanation:

38+90=128

no

Step-by-step explanation:

-2 - -3 doesn't equal -5

Answer:

no

Step-by-step explanation:

-2 - -3 = 1 not 5

if you're going to divide 36 into 9 then you'll have the answer

hope it helps

Answer:

The answer is f(x)=2

Step-by-step explanation:

When the input is given it means that the x is substituted by that number.

so 3x3-7.

3x3-7

9-7=2.

The f of x is equivalent to 2.

I hope this helps :D

Answer:

The water level in the glass decreases.

Step-by-step explanation:

Looking at these choices, you should think of the cycles and phases of matter. Water decreasing from a cup would most likely mean that it evaporated, which is a phase change. It is going from a liquid to a gas, which is water vapor.

Hope this helped! (:

Answer:

Step-by-step explanation:

[tex]y =\dfrac{-3}{4}x -6[/tex]

Multiply the entire equation by 4,

[tex]4*y=\dfrac{-3}{4}x*4 - 6*4\\[/tex]

4y = -3x - 24

Add 3x to both sides

3x + 4y = -24

Add 24 to both sides

3x + 4y + 24 = 0

Answer:

The answer is A

Step-by-step explanation:

X represents the numbers of cones which is 50

Answer:

47.1

Step-by-step explanation:

c=pie d

c=3.14×15

47.1

Answer:

Step-by-step explanation:

So, as you know u got a the diameter.

-Given:

d = 15.

circle (Pi) = 3,14159265359 (But we use always 3.14)

Find: we need to find circumference.

C=Pi * d = 3,14 * 15 = 47,1m.

I hope this answers your question, sir.

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

It’s -4

Step-by-step explanation:

Your equation is y=-4x -3

Answer:

m2 will be 88

m3 will be 92

m1 will also be 92

Step-by-step explanation:

Opposite angles are equal and 3 and 4 are add upto 180

Answer:

13

Step-by-step explanation:

23-10=13 you have 13 miles more to drive.

Answer:

t:  -1.80244705, 0.100001, 1.75234772

2

Rearrange terms

3

Subtract

6

6

6

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

Answer:

B. Slightly more than $5

Step-by-step explanation:

y = 2x + 3

Firstly we check variables to make sure we understand.

y = dollars

x = pounds

On the scale, it says 1.126 lb. Which means 1.126 pounds.

And so, x = 1.126

y = 2x + 3

y = 2(1.126) + 3

y = 2.252 + 3

y = 2.252

The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.

The modal represent the division is 6 ÷ 6/9 = 9.

One of the most fundamental operations in arithmetic is division, in which a larger number is divided into smaller groups with the same number of items. Dividing a large group into smaller groups so that each group has the same number of items is called division. In math, it is an operation that equalizes sharing and grouping.

Given the number line in figure,

shows the number is divided in 9 equal parts

1/9, 2/9, 3/9, ..........9/9

and from 0 to 6/9 parts are marked,

there are 6 parts in 0 to 6/9

the division model for equation is

6 ÷ 6/9

and division is 6 ÷ 6/9 = 9

Hence the division sentence is represented by the model is 6 ÷ 6/9 = 9.

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The question is incomplete, complete question is attested in image

Answer:

I'm not sure, but I'll try

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (9)^2 - ( √ 65 )^2

(Side)^2 = (81) - (65)

(Side)^2 = 16

Take root of answer

Side = √16

Side = 4

Answer = 4

_________

[tex] \: [/tex]

a² = c² - b²

a² = 9² - (√65)²

a² = 81 - 65

a² = 16

a = √16

a = 4

Answer:

When x= 4, then f(x)= 13.

When x= g(x), then f(x)=g

When x= -3, then f(x)= -1

When x= -15(x), then f(x)= -15

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Answer:

Approximately 13.41

Step-by-step explanation:

First do square root of each, which is finding what number multiplies by its self to get the number.

For example: The square root of 80 is approximately 8.94, and the square root of 20 is approximately 4.47.

So: 8.94 + 4.47 = 13.41 (Add normally, but remember to put the decimal in the right place).

Hope this helped :)

Answer: It will take him 1.3

Step-by-step explanation:

1 2/3 divided by 5 is 0.333

0.333 times 4 is 1.3

Answer:

4 students to deliver magazines and 6 students to deliver newspaper

Step-by-step explanation:

The minimum number of students needed is 6.

Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150

So, number of students = 850/150 = 5.66

≈ 6

Now, 60 × 6 =360

So, number of students = 1440/360 = 4

Therefore, the minimum number of students needed is 6.

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-7.763 will be the total to the answer.

Answer:

$9

Step-by-step explanation:

A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?

40% = 0.4

15 * 0.4 = $6 (Discount)

15 - 6 = $9 (Sale Price)

Therefore the Answer is: $9

Answer:

10

8+40÷20=8+2=10

,.,.......

Answer:

angle QPR and angle RPQ

Step-by-step explanation:

hope this helps!