When solving 4x – 3 = 5, the property used in the first step is the ________ property of equality. Question 13 options: A) transitive B) division C) substitution D) addition

Answer:

[tex] \boxed{x \degree = 68 \degree} [/tex]

Given:

Measure of three interior angles of a quadrilateral is 55° , 117° and 120°

Step-by-step explanation:

Let the fourth interior angle be 'x'

The Interior Angles of a Quadrilateral add up to 360°

[tex] = > x \degree + 55 \degree + 117 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 172 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 292 \degree = 360 \degree \\ \\ = > x \degree = 360 \degree - 292 \degree \\ \\ = > x \degree = 68 \degree[/tex]

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

[tex] {x}^{2} + 10x + 21[/tex]

[tex] = {x}^{2} + 3x + 7x + 21[/tex]

Next you have to take out the common factors and factorize it :

[tex] {x}^{2} + 3x + 7x + 21[/tex]

[tex] = x(x + 3) + 7(x + 3)[/tex]

[tex] = (x + 7)(x + 3)[/tex]

The right answer is (X+3)(X+7)

Please see attached picture for full solution

Hope it helps

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Answer:

2^8 = 256

Step-by-step explanation:

(2^4)^2

We know that a^b^c = a^(b*c)

2^(4*2)

2^8

256

Answer:

256

Step-by-step explanation:

2^4 = 16

(2 x 2 x 2 x 2)

16^2 = 256

(16 x 16)

Answer:

A circle with radius of 5 feet would have a circumference of

(2*5*PI) = 31.4159265359  

This would mean the 7 foot arc would be (7 / 31.4159265359 ) or 0.2228169203  of the circle.

0.2228169203  * 360 = 80.2140913183  degrees

80.2140913183  degrees = 1.4 radians

and 7/5 = 1.4

Therefore the answer is the second one 7 / 5

Step-by-step explanation:

Answer:

The answer to this question is

2. B) Theta = Seven-fifths

The answers to the entire test (except for the ones i got wrong and don't know) are

1. B) pi/4 * 180/pi

2. B) Theta = 7/5

3. B) r = 14/6

4. ? (I know that it is not B) 45 * 180/pi)

5. C) 60°

6. D) 4pi

7. B) 19.1 in.

8. D) 7.1 cm

9. C) 150°

10. ? (I know that it is not C) 3pi/10, pi/2, 2pi/3, 60°, 255°)

Step-by-step explanation:

Just took it. Edg 2021. Hope this helps :) (smiley's name is George, George says hi)

Answer:

5 hours because 50 multiply by 5 is 250 and more 75 for radiator

Answer:

Inscribed angle theorem

Step-by-step explanation:

This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°,  because segment LN is the diameter of the circle. Then, by the theorem:

∠LMN = (1/2)*arc LN = (1/2)*180° = 90°

Answer:

B. Inscribed Angle theorem

Step-by-step explanation:

Answer:

∠NXO = 90° because the diagonals of a rhombus are perpendicular. Because the sum of angles in a triangle is 180°, 90 + 29 + ∠7 = 180 which means ∠7 = 61°.

Answer:

It is D.

Step-by-step explanation:

The coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The given expression is 7c + 8.

A coefficient is a numerical factor that appears before a variable in a term. In this expression, 7c is a term, where 7 is the coefficient of c. Similarly, 8 is also a term, where the coefficient is 8.

Since integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer.

Therefore, the coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

So, the answer is option 3, which is 7.

Learn more about expression here:

brainly.com/question/13947055

#SPJ3

Answer:

Step-by-step explanation:

a₁₅ = 33.5  

S₁₅ = 240

So, there are 15 terms in this arithmetic progression. So, l = a₁₅ = 33.5

Sn = (n/2)(a+l)

[tex]S_{15}=\frac{15}{2}(a_{1}+l)\\\\240=\frac{15}{2}(a_{1}+33.5)\\\\240*2=15*(a_{1}+33.5)\\\\480=15*(a_{1}+33.5)\\\\\frac{480}{15}=a_{1}+33.5\\\\32=a_{1}+33.5\\\\32-33.5=a_{1}\\-1.5=a_{1}[/tex]

a₁ = - 1.5

Answer:

Step-by-step explanation:

h(x) = x² - 2x + 6

h(0) = 0  - 0 + 6 = 6

h(-2) = (-2)² -2*(-2) + 6

       = 4 + 4 + 6

       = 14

Answer:

(-1,0)

Step-by-step explanation:

the vertex is the highest or lowest point of a function where both lines meet and since (-1,0) is the lowest point and the next 2 are above it, so that makes (-1,0) the vertex.

Hope it helps the explanation is a little poor but I tried my hardest.

I attached a photo and if you look you can kind of see what I'm saying.

Step-by-step explanation:

take the point as (x,y)

Answer:

20%

Step-by-step explanation:

6/30 = .2 therefore she has ran 20% or 1/5 of the race

Answer:

4x^2 -12x +9   ft^2

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

A = (2x-3) ^2

A = (2x-3) (2x-3)

FOIL

first 2x*2x =4x^2

outer 2x (-3) = -6x

inner -3*2x = -6x

last -3*-3 = 9

Add them together

4x^2 -6x-6x +9

Combine like terms

4x^2 -12x +9

The area is 4x^2 -12x +9 ft^2

Answer:

[tex]= 4 {x}^{2} - 12x + 9 {ft}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = {x}^{2} \\ = (2x - 3)^{2} \\ = (2x - 3)(2x - 3) \\ = 2x(2x - 3) - 3(2x - 3) \\ = 4 {x}^{2} - 6x - 6x + 9 \\ = 4 {x}^{2} - 12x + 9 {ft}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

|-(-5)-2(5)|=|5-10|

=5

the answer is 100 because 6*21 is 126 and 126 is close to 100.

Answer:

A

Step-by-step explanation:

5x 20 = 100 so 6 would't be too far away

Answer:

3a a hairdryer connected to the mains supply take a current of 5.5 A

answer by

Isha Pathak

Answer:

1.mi^3,cubic inches, m^3

2. a)24 b)72

3) 34/3pi meters

Step-by-step explanation:

any thing to the ^3 measures vo;ume

2. a) 4*6=24 b) 24*3=72

3. volume is πr2h

3

Answer:

1329.8 cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

We are given the height of 14 cm, and the diameter of 11 cm.

The radius is half the diameter.

[tex]11/2=5.5[/tex]

The radius is 5.5.

I use 3.14 for pi:

[tex]V=3.14*5.5^2*14\\\rightarrow 5.5^2=30.25\\V=3.14*30.25*14\\\boxed{V=1329.79}[/tex]

1329.79 ≈ 1329.8

The volume of the cylinder should be 1329.8 cm³.

Answer:

(x - 9)² + (y - 7)² = 262

Step-by-step explanation:

x² + y² - 18x - 14y - 132 = 0

Rearranging the equation:

y² - 14y + x² - 18x - 132 = 0

add 132 to both sides:

y² -14y + x² - 18x - 132 + 132 = 0 + 132

y² -14y + x² - 18x = 132

add to both sides the square of half of the coefficient of y (i.e (14/2)² = 49)

y² -14y + 49 + x² - 18x = 132 + 49

add to both sides the square of half of the coefficient of x (i.e (18/2)² = 81)

y² -14y + 49 + x² - 18x + 81 = 132 + 49 + 81

y² -14y + 49 - x² - 18x - 81 = 262

y² - 7y - 7y + 49 + x² - 9x - 9x - 81 = 262

y(y - 7) - 7(y - 7) + x (x - 9) -9(x - 9) = 262

(y - 7)(y - 7) + (x - 9)(x - 9) = 262

(y - 7)²+ (x - 9)² = 262

(x - 9)² + (y - 7)² = 262

Answer:

SA=744 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area mean the sum off every single area of the shape

so we have here two rectangle area= 14*13*2=364

and one  rectangle are in the bottom= 14*10=140 cm

and two triangle are= 10*12*2=240 cm

so the some of them is SA=364+140+240=744[tex]cm^{2}[/tex]

Answer:

  8

Step-by-step explanation:

There are 15 -9 = 6 that are peanut and not small. Adding the 2 that are peanut and small, there are a total of 8 peanut M&Ms.

Answer:

8 peanut

Step-by-step explanation:

15 that are peanut or small

2 that are peanut and small

9 that are small

15 - 9 = 6  

There are 6 that are just peanut

and there are 2 that are peanut and small

6+2 =8 that are in the peanut category

Answer:

6.18

Step-by-step explanation:

4 cups ............... 24.72

1 cup ......................... x

x = 1×24.72/4 = 6.18

Answer:

A =315 cm^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 13+29) *15

A  = 1/2 (42)* 15

A =315 cm^2

Answer:

[tex]315 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times (a + b) \times h \\ = \frac{1}{2} \times (13 + 29) \times 15 \\ = \frac{1}{2} \times 42 \times 15 \\ = \frac{630}{2} \\ = 315 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Triangle on the left or the first one

Step-by-step explanation:

For triangle T there is another angle which is 180-110-40= 30 degrees. Then triangle on the furtherest left is the exact same

Answer:

x = 20

Step-by-step explanation:

x in (-oo:+oo)

(1/2)*x+6 = 16 // - 16

(1/2)*x-16+6 = 0

1/2*x-10 = 0 // + 10

1/2*x = 10 // : 1/2

x = 10/1/2

x = 20

Answer:

  see below

Step-by-step explanation:

Angles 9 and 13 are both southeast of their respective vertices, hence are corresponding angles. Since they are congruent, the converse of the corresponding angles theorem applies.