Jesse read 98 pages of a book in one week. What was his unit rate of
pages read per day?

Answer:

acc to ques ...total area=160=area of parallelogram + area of triangle

b×h +1/2×b×h=160

14×10+5x=160.....(let base of triangle =b=x)

5x=20

x=4......

The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles

The measures of the angles in the figures are as follows;

2. The required two column proof is presented as follows;

Statement  [tex]{}[/tex]                                                  Reason

∠1 and ∠a are linear pair angles   [tex]{}[/tex]             Given

∠1 + ∠a = 180° [tex]{}[/tex]                                             Linear pair ∠s are supplementary

∠2 and ∠b are linear pair angles   [tex]{}[/tex]            Given

∠2 + ∠b = 180°                                             Linear pair ∠s are supplementary

∠a and ∠b are consecutive interior ∠s   [tex]{}[/tex]   Definition

x║y    [tex]{}[/tex]                                                           Given

∠1 and ∠b are corresponding angles  [tex]{}[/tex]      Definition

∠1 ≅ ∠b   [tex]{}[/tex]                                                     Corr. ∠s formed between║ lines

∠1 = ∠b   [tex]{}[/tex]                                                      Definition of congruency

∠a + ∠b = 180°                                              Substitution property

∠a and ∠b are supplementary  [tex]{}[/tex]                  Definition

The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore

3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;

4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases

The limitations of the Ski slope scenario are;

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c. Explain what the result of your proof tells you about angles a and b.

Specifically, if you measured one angle, what would you know about the

other? (2 points)

Answer:

A. 15

Step-by-step explanation:

Answer:65

Step-by-step explanation:

Length of first, second and third piece are 5, 15 ,25 inch

Given that;

Length of board = 45 inch

Second cut is 3 times as long as the first piece

Third cut is 5 times as long as the first piece

Find:

Length of all three piece

Computation:

Assume;

Length of first piece = a

So,

Length of second piece = 3a

Length of third piece = 5a

So,

Length of first piece + Length of second piece + Length of third piece = Total length

a + 3a + 5a = 45

9a = 45

a = 5

So,

Length of first piece = a

Length of first piece = 5 inch

Length of second piece = 3a = 3(5)

Length of second piece = 15 inch

Length of third piece = 5a = 5(5)

Length of third piece = 25 inch

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Answer:

-5

Step-by-step explanation:

Answer:

-7 - 4 -(-6)

-7 + - 4 - (-6)

-11 - (-6)

-11 + 6 = -5

Step-by-step explanation:

When looking at -7- 4, you can use the KCC rule, Keep, Change, Change. -7 would stay the same, but - would turn into a + and so would 4 to -4.

Now, -7 + - 4 would equal to -11. And bring down the -(-6).

When you look at two negative signs the become a positive sign, so it would now be +6.

Now, you subtract because 11 is the bigger number and you have to take it's sign, which is negative to the answer.

Therefore, your answer is -5. Hope this helps

Answer:

Precio del chocolate = x = $ 4

Precio de la paleta = y = $ 6

Step-by-step explanation:

Vamos a representar

Precio del chocolate = x

Precio de la paleta = y

Andrés y Jorge fueron a una tienda de dulces, Andrés compró 5 chocolates y 1 paleta por la que pagó $ 26

= 5x + y = 26 ...... Ecuación 1

Jorge compró 2 chocolates y 1 paleta y pagó $ 14.

2x + y = 14 ....... Ecuación 2

Combinando ambas ecuaciones juntos resolvemos usando el método de eliminación

Restamos la Ecuación 2 de la Ecuación 1

5x + y = 26 ...... Ecuación 1

2x + y = 14 ....... Ecuación 2

3 veces = 12

x = 12/3

x = $ 4

Resolver para y usando la Ecuación 1

5x + y = 26 ...... Ecuación 1

5 (4) + y = 26

20 + y = 26

y = 26 - 20

y = $ 6

Por lo tanto, el precio de cada chocolate y cada paleta:

Precio del chocolate = x = $ 4

Precio de la paleta = y = $ 6

Answer:

1

Step-by-step explanation:

6/12=1/2

6/24=1/4

1/2+1/4+1/4=1/2+2/4=2/4+2/4=4/4=1

Answer:

answer is 1

you divide and add them.

PEMDAS

Answer:

The x graph

Step-by-step explanation:

The x graph

Answer: D

Step-by-step explanation:

Answer:

4, 802 cans will be collected in two weeks

Step-by-step explanation:

343 aluminum cans = 1 day

? = 2 weeks

2 weeks = 14 days

So, 343 x 14 = 4, 802

Answer:

11.5

Step-by-step explanation:

-1*-11.5=11.5

uv= u times v

-1 times -11.5 equals 11.5

Answer:

12s

Step-by-step explanation:

5s + 7s = (5 + 7) s= 12s

This is your answer

Answer:

volume = 262.14 yd³

Step-by-step explanation:

volume = 6.4³ = 6.4 x 6.4 x 6.4 = 262.14 yd³

Answer:262.144

Step-by-step explanation:you will have to round it.

Answer:

it is 12+3x your welcome

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is written as 3x³ + 3x.

Let's assume the two trinomials are A and B. We are given that the sum of these two trinomials is equal to 4x³ + 3x. Mathematically, we can represent this as:

A + B = 4x³ + 3x

Now, we are also given one of the trinomials, which is x³ + 2, and we need to find the other trinomial (B).

To find B, we need to isolate it on one side of the equation. Let's rearrange the equation:

B = 4x³ + 3x - A

Now, we need to determine the value of A. We can do this by comparing the given trinomial with the general form of a trinomial, which is ax³ + bx^2 + cx.

From the given trinomial x³ + 2, we can identify that a = 1 (coefficient of x³) and b = 0 (coefficient of x²), since there is no x² term. The coefficient of x is c = 0 (since 3x = 3x¹, there is no constant term in this expression).

Now, we can write A in terms of its coefficients:

A = 1x³ + 0x² + 0x

A = x³

Now, we can substitute the value of A back into the equation for B:

B = 4x³ + 3x - x³

B = 3x³ + 3x

So, the other trinomial (B) is 3x³ + 3x.

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Complete Question:

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is

Answer:

32 siblings from the class theres a possibility that some students had more siblings and not everyone has one

Step-by-step explanation:

.

The probability that a student chosen randomly from the class has a brother and a sister is [tex]\frac{1}{15}[/tex].

The chance that something will happen, or how likely it is that an event will occur.

probability of an event = [tex]\frac{number of favorable outcomes}{Total number of outcomes}[/tex]

According to the given question

we have total 30 students.

6 have a brother

12 have a sister

and 14 who don't have any siblings

If we se the provided Venn diagram

the number of students who have only sister is 10

and the number of student who have only brother is 4.

because, 6+12+14 = 32

but we have only 30 students

⇒ 2 students has a brother and a sister.

therefore,

the probability that a student chosen randomly from the class has a brother and a sister = [tex]\frac{number of students as a brother and a sister}{total number of students}[/tex]= [tex]\frac{2}{30}[/tex] =[tex]\frac{1}{15}[/tex]

Hence, the probability that  the chosen student from the class has a brother and sister is [tex]\frac{1}{15}[/tex].

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Answer:

91.08

Step-by-step explanation:

To find diameter, divide the circumference by pi or 3.14

286/3.14 = 91.0828025

Round to nearest hundredth

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

Answer:

A)

Step-by-step explanation:

answer:

haha my teacher saw my screen ( since im in-school ) and he said that you were a trapezoid

i would have answered this question in more detail but i didnt know how to, hope this help tho! :)

Answer:

b) x = 1

Step-by-step explanation:

Given statement,

→ three halves plus one half times x is equals two x.

Forming the equation,

→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x

Now the value of x will be,

→ (1/2) + (1/2) + (1/2) + (1/2)x = 2x

→ (1 + 1 + 1)/2 = 2x - (1/2)x

→ 3/2 = ((4 - 1)/2)x

→ 3/2 = (3/2)x

→ (3/2)x = 3/2

→ x = (3/2) × (2/3)

→ x = (3 × 2)/(2 × 3)

→ x = 6/6

→ [ x = 1 ]

Hence, the value of x is 1.

Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

Answer:

4x² + 6xy + 2y²

Step-by-step explanation:

Given

(2x + y)(2x + 2y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 2y) + y(2x + 2y) ← distribute both parenthesis

= 4x² + 4xy + 2xy + 2y² ← collect like terms

= 4x² + 6xy + 2y²

Answer:

im pretty sure its 3 plz tell me if im wrong im new here but i think its right

Step-by-step explanation:

Answer:

yu and justin

Step-by-step explanation:

Answer:

- 12°C

Step-by-step explanation:

Given :

Temperature in the morning = - 8°C

In the afternoon, temperature drops an additional 4°C

A temperature drop mean a reduction in the initial temperature :

Afternoon temperature = morning temperature - 4°C

Afternoon temperature = - 8°C - 4

After oon temperature = - 12°C

Answer:

Step-by-step explanation:

Remark

The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.

Solution

<x = 1/2 (arc measure of 116 + 74)

<x = 1/2 (190)

<x = 95