Find the value of x in the quadrilateral below.

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

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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:

its Combine like terms sorry the answer is kind of late

Step-by-step explanation:

The first step in solving the given equation is Combine the like terms.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation,

gx + 3x + 2 = 57

Like terms are terms which are having the same variable or they are constants.

Here gx and 3x are like terms since both of then has the variable x.

2 and 57 are constants.

gx + 3x + 2 = 57

Combine the like terms.

(g + 3)x = 57 - 2

(g + 3)x = 55

Hence the first step is combining like terms.

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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: A

Step-by-step explanation: Range is the distance between one point to the next. That would make A the correct answer.

Answer:

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

=5

Answer:

A

Step-by-step explanation:

The second event is dependent on the first.

Answer:

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

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.

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:

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)

Step-by-step explanation:

take the point as (x,y)

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:

(-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.

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:

False

Step-by-step explanation:

4 is not prime, it would be 2^2*3^2

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:

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:

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:

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

Good luck on your assignment

Stay safe..

Answer:

45

Step-by-step explanation:

40 is 18% of 45

The number that equals 18 is 45.

Answer: 45

Hope this helps.

Answer:

6.18

Step-by-step explanation:

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

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

x = 1×24.72/4 = 6.18

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:

It is D.

Step-by-step explanation:

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

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.

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Answer:

Sports, Class, Bathrooms

Step-by-step explanation:

When playing sports it is near impossible to social distance. Tackling contact, you name it. Sitting in class, sharing desks with the classes that come before. Especially that student that hides gum under the table. Everyone shares bathrooms. It can't be cleaned as soon as someone uses it. All of these are reasons for the virus to spread.

Answer:

A large body of students could prove to be very dangerous, given how contagious the virus in question is. Students and teachers make contact with each other constantly, and that will surely infect nearly 70% of the facility's occupants.