Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***

From the options , [tex]4x + 28[/tex] is equivalent to only [tex]4(x+7)[/tex] & [tex]4.x+ 7.4[/tex]  and [tex]14+16y-3-y[/tex]  is equivalent to only [tex]15y+11[/tex] &  [tex]11+15y[/tex] .

Step-by-step explanation:

We have 2 expressions for which we need to check which expression can be further simplified or is equivalent to the same. Lets consider :

Question 1:

[tex]4x + 28[/tex]  is given equation, Now we will simply this as :

⇒[tex]4x+28[/tex]

⇒[tex]4(x+7)[/tex]

⇒[tex]4.x+ 7.4[/tex]

From the options , [tex]4x + 28[/tex] is equivalent to only [tex]4(x+7)[/tex] & [tex]4.x+ 7.4[/tex]  .

Question 2:

[tex]14+16y-3-y[/tex] is given equation, Now we will simply this as :

⇒[tex]14+16y-3-y[/tex]

⇒[tex]15y+11[/tex]

⇒ [tex]11+15y[/tex]

From the options , [tex]14+16y-3-y[/tex]  is equivalent to only [tex]15y+11[/tex] &  [tex]11+15y[/tex] .

Answer:

x=5/6 or x=.83

Step-by-step explanation:

Answer; y= 6x-5

Step-by-step explanation:

Answer:-47.5

Step-by-step explanation:

Step 1:Find out how much 12 week of guitar is 15*12=180.

Step 2:Subtract 180 from  132.55 132.55-180+-47.5.

Step 3:Answer -47.5.

Answer:

V = 14.14in^3

Step-by-step explanation:

Use the formula V = 3/4πr^2 to get the volume of a sphere

Substitute r for 1.5 in

V = 3/4π(1.5)^2

V = 14.137166941154in^3

Round to the nearest hundredth to find the approximate volume

V = 14.14in^3

Answer:

D. 2 1/4

Step-by-step explanation:

Answer: D: 2 1/4

Step-by-step explanation:

Mark me 5 star pls

Answer: something is wrong circumference is solved by pi times the diameter or pi times the radius times 2

40 x 3.14 = 125.6

Step-by-step explanation:

Sorry man

Final answer:

The circumference of a circle with a diameter of 40 inches using 3.14 for pi is 125.6 inches, rounded to the nearest tenth.

Explanation:

The student's question is asking for the circumference of a circle with a given diameter using 3.14 for π (Pi). According to the relationship between the diameter and the circumference of a circle, the circumference (C) can be found by multiplying the diameter (d) by π. The formula for the circumference is thus C = πd.

In this case, the diameter is given as 40 inches. Therefore, we calculate the circumference as follows:

Since we are asked to round to the nearest tenth, the circumference of the circle is 125.6 inches.

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{x+2}{x-5}[/tex] × [tex]\frac{8x}{x+2}[/tex] ← cancel the common factor x + 2 on the numerator/ denominator

= [tex]\frac{8x}{x-5}[/tex] → D

The 3 statements that are correct about the graph are:

1. "Plan A offers fewer movies than Plan B for monthly costs greater than 20$"

2. "The two plans cost the same for 10 movies per month"

3. "The two plans offer the same number of movies for 20$ a month."

In terms of  the above, the graph shows Plan A's line is consistently lower than Plan B's before the equilibrium point. Hence, statement 1 is true.

From the image, one can locate where Plan A and Plan B intersect on the graph at around 10 movies per month, as both plans cost the same. So when you follow the line to the cost axis,  Plan A and Plan B have the same monthly cost so statement 2 is true.

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See text below

PLEASE HELP ME ASAP!!!!!

Riley used this graph to compare two movie-rental plans.

Choose the three statements that are true about the graph

Plan A offers fewer movies than Plan B for monthly

costs greater than $20.

Plan A costs more than Plan B for fewer than 10

movies per month

The two plans cost the same for 20 movies per

month.

Monthly Cost (5)

Plan A

(10,20)

Plan B

Number of Movies Rented

Plan A costs less than Plan B for fewer than 20

movies per month.

The two plans cost the same for 10 movies per

month.

The two plans offer the same number of movies for

$20 a month

Answer: No .

Step-by-step explanation:

If we make two triangles with lengths of 4 centimeters and 2 centimeters and  an included angle of 50°, then by SAS congruence postulate both triangle will be congruent.

According to the definition of congruence , if two shapes are congruent then they have equal size and shape.

i.e. they look exactly same.

It means only one triangle is possible with the given measurement .

No, only one triangle can be drawn with side lengths of 4 centimetres, 2 centimetres, and an included angle of 50°.

To determine if more than one triangle can be drawn with given side lengths and an included angle, we can use the Side-Angle-Side (SAS) congruence postulate.

According to this postulate, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Given:

One side length is 4 cm (side a).

Another side length is 2 cm (side b).

The included angle between these two sides is 50° (angle C).

Using the Law of Cosines, we can find the length of the third side (side c) of the triangle. The Law of Cosines states that for any triangle with sides a, b, and c, and the angle opposite side c being the following equation holds: [tex]\[ c^2 = a^2 + b^2 - 2ab \cos(\gamma) \][/tex]

Substituting the given values:

[tex]\[ c^2 = 4^2 + 2^2 - 2 \cdot 4 \cdot 2 \cdot \cos(50^\circ) \][/tex]

[tex]\[ c^2 = 16 + 4 - 16 \cdot \cos(50^\circ) \][/tex]

[tex]\[ c^2 \approx 20 - 16 \cdot 0.6428 \][/tex]

[tex]\[ c^2 \approx 20 - 10.2848 \][/tex]

[tex]\[ c^2 \approx 9.7152 \][/tex]

[tex]\[ c \approx \sqrt{9.7152} \][/tex]

[tex]\[ c \approx 3.118 \text{ cm} \][/tex]

Hence, the answer is no; only one triangle can be drawn with side lengths of 4 centimetres, 2 centimeters, and an included angle of 50°.

Answer:

For 14 from left to right should be 11 10 10 9 8 6. For 15 is wrong because 4 people jumped 3 feet and 3 people jumped 4 feet

Answer:

11.36 lb

Step-by-step explanation:

His weight on earth is 142 lb

Weight on saturn =0.92*142=130.64

Difference in weight is 142-130.64 =11.36 lb

Answer:

2002.5947

Step-by-step explanation:

I did the calculations :)

Answer:

B. 98

Step-by-step explanation:

Have a nice day!

Based on the inscribed angle theorem, the measure of arc ECF in circle (G) is equal to: B. 98 degrees.

The inscribed angle theorem states that the measure of an inscribed angle whose vertex lies on a circle is half of the intercepted arc subtended at a point on the circle.

Given the following data:

By using the inscribed angle theorem, we would find the intercepted arc as follows:

∠DEF = ∡DF/2

79 = ∡DF/2

∡DF = 2 × 79

∡DF = 158 degrees.

Now, we can determine measure of arc ECF:

∡ECF + ∡DF + ∡DE = 360

∡ECF + 158 + 104 = 360

∡ECF + 262 = 360

∡ECF = 360 - 262

∡ECF = 98 degrees.

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Answer:

[tex]\frac{x}{(x-1)(x+4)}[/tex]

Step-by-step explanation:

from what i can read and understand the equation is:

[tex]\frac{x^{2-1} }{x^{2+5x+4} }[/tex]

If I'm correct  then [tex]\frac{x}{(x-1)(x+4)}[/tex]  Would be your answer

And all you have to do is simplify the Expression

Hopefully this Helps

Answer: 32/6

I hope this answer helps!

Answer: 5 1/3

Step-by-step explanation:

Step 1: change to a proper fraction to give 32/6

Step 2: minimize the fraction part by dividing the numerator and denominator by 2

=5 1/3

Answer:

1

Step-by-step explanation:

Cause 9 is larger than 5 so the 0 is rounded to one

Answer:

1

Step-by-step explanation:

The digit behind the ones place is a 9, so you would round the number up to 1.

Can I please get Brainliest? I haven’t had it yet AT ALL.

Have a good day!

Here we know the following data:

So we want to know the height of the street light. Below you have the representation of this problem. We can solve this using proportions because triangles ABC and DEF are similar, so:

[tex]\frac{h}{26}=\frac{2.5}{5} \\ \\ \frac{h}{26}=\frac{1}{2} \\ \\ h=26\times\frac{1}{2} \\ \\ h=13[/tex]

Finally, the height of the street light is 13 ft

Answer:

Angle A is 80 degrees

Step-by-step explanation:

Solution:

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

[tex]3 \times 3.75 = 11.25[/tex]

Thus for two person:

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

Answer:

.

Step-by-step explanation:

Answer:

[tex]\frac{x-4}{15x^2y^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-4}{30x^2y^3}[/tex] + [tex]\frac{x-4}{30x^2y^3}[/tex]

Since the denominators are common, add the numerators leaving the denominator.

= [tex]\frac{x-4+x-4}{30x^2y^3}[/tex]

= [tex]\frac{2(x-4)}{30x^2y^3}[/tex]

Cancel the 2 and 30 by 2 on the numerator/ denominator, leaving

= [tex]\frac{x-4}{15x^2y^3}[/tex]

Answer:

Equal, 250 and 25 are both 1/4

Step-by-step explanation:

Answer: 11.250 is equal to 11.25

Step-by-step explanation:

The value of 0 behind is insignificant

T = 30

A = 4c

A + c = T

Anna Claire has 6 pencils. Times 4 makes Ally's pencil count. 4 * 6 = 24

24 + 6 = 30. So, you answer is: Ally has 24 pencils.

Step 1 used C) the subtraction property of equality to subtract 15 from both sides of the initial equation.

In step 1 of the solution process to the equation 8x + 15 = 11x + 2, the C) subtraction property of equality is used.

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Answer:

I may not be right, because I didn't get the context of the question, but my answer is:

[tex]y=x^{4}+8x^{3}+14x^{2}-8x-15[/tex]

Answer:

x = 1

Step-by-step explanation:

For this type of equation, you want to combine all like terms. So you can combine the x and the constants. So

-2x - 6 = -6x - 2

+6x         +6x

---------------------------

4x - 6 = -2

    +6    +6

-----------------

4x = 4

4 multiplied by what number is 4? well 1 so x = 1

Answer:

A. 5

B. 29, 16, 24, 20, and 15

Step-by-step explanation:

The sample size is 5.

Each student is assigned a two digit number, so split the random digit table into two digit numbers.

29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24

Identify the first 5 unique numbers between 12 and 30.

29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24

The expression for the area of a rectangle with dimensions (3x-1) and (x+6) is obtained by multiplying these dimensions, resulting in the quadratic expression 3x² + 17x - 6.

The dimensions of the rectangle given here are (3x-1) and (x+6). The area of a rectangle can be calculated using the formula length x width. Thus, to obtain an expression for the area of the rectangle, multiply the length (3x-1) by the width (x+6). This results in the expression (3x² - x + 18x - 6). Simplifying this expression, we get 3x² + 17x - 6 as the area of the rectangle in polynomial form, which is a quadratic expression.

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Final answer:

The area of the rectangle with dimensions 3x-1 by x+6 is given by the polynomial 3x² + 17x - 6 in standard form.

Explanation:

To find the expression for the area of the rectangle given the dimensions 3x-1 and x+6, we need to multiply the length by the width. The area A is given by the formula A = length × width, thus:
A = (3x - 1)(x + 6)

Distribute the terms to obtain the polynomial:
A = 3x(x) + 3x(6) - (x) - (6)

Simplify and combine like terms to express in standard form:
A = 3x² + 18x - x - 6

A = 3x² + 17x - 6

Therefore, the expression for the area of the rectangle, written as a polynomial in standard form, is 3x² + 17x - 6.

Answer:

C. For an equal number of servings, the bananas will have three times as much sugar.

Step-by-step explanation:

This is because the amount of sugar will change proportionally with the number of servings, so the ratio of sugar in bananas and in carrots will stay the same as long as the serving size is equal. For example, three servings of bananas would have 45 grams of sugar and 3 servings of carrots would have 15 grams of sugar. If you divide these you will still get a ratio of 1/3, which makes this statement true. Hope this helps! :)

The area of the circle is 113.04 cm²

Step-by-step explanation:

The given information are,

Radius = diameter / 2

Radius = 12/2 = 6 cm

Now, the formula for area of the circle is given by πr²

where,

To calculate the area of circle :

Substitute r=6 and π=3.14,

Area of the circle = (3.14) × (6²)

⇒ 3.14 × 36

⇒ 113.04 cm²

The area of the circle is 113.04 cm²

Answer:

113.04 cm²

Step-by-step explanation:

Answer:

11th term is 151

Step-by-step explanation:

a+(n-1)d

a=1

n=11

d=15

11th term=1+(11-1)15

11th term=1+(10)15

11th term=1+150

11th term=151