Given: p || q, and r || s.

Linear pair theorem that is angle 1 is supplementary to angle 2 moves down to angle 2 equals angle 6. As for parallel lines cut by a transversal, corresponding angles are congruent. This moves down to blank box with question mark.

Prove: ∠1 and ∠14 are supplementary angles.

Two vertical parallel lines p and q runs through two horizontal parallel lines r and s to form 16 angles numbered from 1 to 16.

What is the next step in the proof? Choose the most logical approach.

Answer:

y=-2x+10

Step-by-step explanation:

i graphed it i graphed all of them

Answer:

y-2x-2

Step-by-step explanation:

The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.

We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. So, we can insert the given information into this formula to get [tex]y+6=-2(x-2)[/tex].

Next, we distribute the slope to the the parenthesis to get [tex]y+6=-2x+4[/tex]

Then, we subtract 6 from both sides to get [tex]y=-2x-2[/tex]

Since this equation is now in the form [tex]y=mx+b[/tex], the answer is [tex]y-2x-2[/tex]

Hope this helps! :)

Answer:

x = ±2

Step-by-step explanation:

Given :

y = 64 - 16x²

=========================================================

Add 16x² to each side (take y = 0) :

⇒ 0 + 16x² = 64 - 16x² + 16x²

⇒ 16x² = 64

=========================================================

Divide both sides by 16 :

⇒ 1/16 × 16x² = 1/16 × 64

⇒ x² = 4

=========================================================

Taking square root on both sides :

⇒ √(x²) = √4

⇒ x = ±2

Some examples of additions with integers with 5 terms or more are:

In mathematics, an integer is a whole number that is used to represent a value and is not a fraction.

Furthermore, we can make the addition of integers as they would increment based on the number they are being incremented with and this has been shown above.

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The cost of one pair of shoes is $8.

The cost of one shirt is $12.

2a + b = 32 equation 1

2a + 3b = 48 equation 2

Where:

Subtract  equation 1 from  equation 2

2b = 16

b = 16/2

b = $8

Substitute for b in equation 1

2a + 8 = 32

2a = 32 - 8

2a = 24

a = 24 / 2

a = $12

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Answer:

-1 and -4

Step-by-step explanation:

-1 + -4 = -5

-1 times -4 = 4

give brainiest please!

hope this helps ;)

Answer:

x = 5 only

≡ On a graph, the point touches (5, 0), making x equal to 0.

≡ In other words, you must replace y with 0 to solve for x. There is no y term in this problem, so you must determine y by separating the coefficients into groups and determining each part.

A triangle is a three-edged polygon with three vertices. The length of the sides of the triangle is 5, 5, and 5√2.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since the two angles are equal, therefore, the length of the two legs of the isosceles right triangle will be equal and will be less than the hypothenuse.

Hence, the length of the sides of the triangle is 5, 5, and 5√2.

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You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).

[tex]m=\frac{15-7}{4-0}=\boxed{2}[/tex]

Therefore, since the slopes of lines AB and CD are equal, they are parallel

Answer:

The way is in the steps.

Step-by-step explanation:

y = sin(x) has a period of 2π and amplitude of 1.

a) y = a * sin b(x - c) - d

y = 7/2 * sin 2/3(x - π/4) - 2

b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.

The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.

c) Period = 2π/b

Period = 2π/2/3 = 3π

d) Horizontal Shift left/right is dependent on c.

c = π/4 , so Horizontal Shift to the Right by π/4

Vertical Shift up/down is dependent on d.

d = -2 , so Vertical down shift by 2.

Answer:

hre is your tense chart

Step-by-step explanation:

mark me brainliest

Answer:

25

Step-by-step explanation:

50/2=25

are there any answer choices?????

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formulas

d1 = 20 + 50*t                       This is dump truck #1

d2 = 70*t                               This is dump truck #2

d1 = d2                                  This is given in the problem

Solution

if d1 = d2 then you get 20+50t = 70t as your working equation.

20 + 50t = 70t                        Subtract 50t from both sides

20 +50t-50t = 70t-50t           Combine

20 = 20t                                  Divide both sides by 20

20/20 = 20t/20                      

1 = t

Answer

after 1 hour Dump Truck 2 will catch dump truck 1

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

Answer:

0.0178 is the answer

Answer:

1kg= 1000 g

3 kg=3000 g

so,

3000×11/5=6600 g=6kg 600 g

Answer:

6.6kg

Step-by-step explanation:

11/5 of 3kg mathematically means

11/5 × 3

= 33/5= 6.6kg

Answer:

y = 3x + 7

Step-by-step explanation:

apply the rule

[tex]y-y_{0} =m(x-x_{0} )[/tex]

where

[tex]x_{0}, y_{0}[/tex]

they are taken from the point  (-2, 1), and "m" is the slope (3)

Then

[tex]y-1=3(x--2)[/tex]

[tex]y-1=3(x+2)[/tex]

[tex]y=3x+6+1[/tex]

[tex]y=3x+7[/tex]

Hope this helps

[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]

[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]

As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.

The statement that can never be true is the data set contains a value of 3.

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

minimum number = 8

maximum number = 22

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Answer:

A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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Answer:

Step-by-step explanation:

2500( 7 years )

????? (15 years )

15*2500=37 500

The cost of a tea cup and a cup of coffee in the shop is £0.90 and £1.50 respectively.

let

x + 2y = 3.90

3x + y = 4.20

Multiply (1) by 3 to eliminate x

3x + 6y = 11.70

3x + y = 4.20

5y = 7.50

y = 7.50/5

y = 1.50

Substitute y = 1.50 into (1)

x + 2y = 3.90

x + 2(1.50) = 3.90

x + 3 = 3.90

x = 3.90 - 3

x = 0.90

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When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.

Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R

Answer:

x = -45

Step-by-step explanation:

(3/5)x - 15 = (6/5)x + 12

(6/5)x - (3/5)x = -15 - 12

(3/5)x = -27

0.6x = -27

x = (-27)/0.6

x = -45

Answer:

Imaginary Roots

Step-by-step explanation:

The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is

x = [-b ± √(b^2 - 4ac)]/ 2a

Given:

3x2 - 4x + 5 = 0'

Here a = 3, b = -4 and c = 5

Substituting:

x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)

Further Simplification:
x = [4 ± √(16 - 60)]/6                 ----> Discriminant: b^2 - 4ac = -44 < 0.

x = [4 ± √-44]/ 6

Now, we get:

x = [4 ± 2√-11]/ 6

x = [2 ± i √11]/ 3

Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.

Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

                    - FOIL EXPLANATION -

It stands for "First, Outer, Inner, Last"

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

Hopefully this helps you! ~

The similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

It is defined as a three-dimensional space enclosed by an object or thing.

Part 1:

Volume of larger solid = (512) cubic cm

Volume of small solid = 2197 cubic cm

Ratio of the volumes = 512/2197

Taking cube root:

Similarity ratio = 8/13

Part 2:

Similarity ratio by taking the cube root of each volume = 8/13

Taking the square of the above ratio:

= 64/169

Part 3:

64/169  = 960/SA(larger)

SA(larger) = 2535 square cm

Thus, the similarity ratio by taking the cube root of each volume is 8/13,  ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.

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