Evaluate 5 - (4 + 2)2
O A. 9
O B. -15
O C. 5
O D.-31

Answer:

B

Step-by-step explanation:

Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )

We are given that angle MOK and angle JOM are supplementary

Supplementary angles add up to 180

This means that:

angle MOK + angle JOM = 180

If angle JOM = angle LOK

Then angle MOK + angle LOK also = 180

If angle MOK = 66 and angle LOK = x + 64

Then 66 + x + 64 = 180

Note that we've just created an equation that we can use to solve for x

We now solve for x

66 + x + 64 = 180

Combine like terms

66 + 64 = 130

130 + x = 180

Subtract 130 from both sides

x = 50

We also want to find the measure of angle LOK.

To do so we simply plug in the value of x into x + 64

angle LOK = x + 64

x = 50

angle LOK = 50 + 64 = 114

So x = 50 and angle LOK = 114

Hence the answer is B

Let length be x

ATQ

[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]

[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]

[tex]\\ \sf\longmapsto 2x+70=124[/tex]

[tex]\\ \sf\longmapsto 2x=124-70[/tex]

[tex]\\ \sf\longmapsto 2x=54[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]

[tex]\\ \sf\longmapsto x=27m[/tex]

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

Answer:

option A is correct answer

Answer:

the answer is 6

Step-by-step explanation:

14 minus 8 is 6

Answer:

Step-by-step explanation:

Given,

[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]

Now,

[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]

[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]

[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]

[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]

Hope you have understood this.....  

ask me if you have any confusion.....  

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Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Answer:

4 is the answer

Step-by-step explanation:

2 (4u-9)=14

8u-18=14

8u=14+18

8u =32

divide by 8

u=4 answer

Answer:

B

Step-by-step explanation:

because he owes that automatically negative .

he also earns 30 plus dollars

and he gave away 21 dollars and giving away is taking away .

Answer:

all real numbers

Step-by-step explanation:

The equation of x has No solution.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

−3x − 3 = −3(x + 1)

Expanding the brackets we get,

−3x − 3 = −3x − 3

Collecting like terms together we get,

−3x +  3x = −3 + 3

Solving we get,

0 = 0

So, this equation has no solution.

Thus, the equation of x has No solution.

To learn more about equations here :

https://brainly.com/question/14427555

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Answer:

100 centimeter = 1 meter

1000 meter is 1 kilometer.

so speed is 300000 kilometer/second.

Step-by-step explanation:

There are 3600 seconds in one hour, multiply with 3600=

1080 000 000 kilometer/hour.

Answer:

1.08^9km/hr

Step-by-step explanation:

3 x 10^10cm/ 1s

(3 x 10^10 ÷100÷1000)km / 1÷60÷60

=1.08^9km/hr

Answer:

-2.4x + 30.3

Step-by-step explanation:

5x - 7.4 (x - 3) + 8.1

5x - 7.4x + 22.2 + 8.1

-2.4x + 30.3

Answer:

[tex]a. \: \: x = 3 \: \: and \: 5[/tex]

Step-by-step explanation:

[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]

[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

Answer:

1

Step-by-step explanation:

Factors for 3: 1 and 3  

Factors for 5: 1 and 5  

Factors for 14: 1, 2, 7, and 14

Since 1 is the greatest common factor in 3,5,14 ,

GCF = 1

Answer:

2

Step-by-step explanation:

x:14 = 1:7

x/14 = 1/7

x = 14/7

=> x = 2

Hi there!

[tex]\large\boxed{(2x + 3)(x + 1)}[/tex]

We can split into factors using the "guess and check" method.

Factors are in the format of:

(ax + b)(cx + d), where in this instance:

a · c = 2

bc + da = 5

b · d = 3

Thus, we get:

(2x + 3)(x + 1)

Answer:

2x^2 +5x +3            3*2 =6  and 3+2 = 5

2x2 +2x +3x +3

2x(x +1) + 3(x+1)

(x+1)(2x+3)

Step-by-step explanation:

Answer:

I think answer is 195.Is it right make me a braillent

student.

Answer:

thus is so easy

Step-by-step explanation:

too easy

Answer:

Area = 142 cm^2, Volume = 105 cm^3

BRAINLIEST, PLEASE! (ALMOST AN ACE!)

Step-by-step explanation:

Area: lb + bh + lh

l = 7, b = 5, h = 3

2((7)(5) + (5)(3) + (7)(3))

2(35 + 15 + 21)

2(50 + 21)

2(71)

142 cm^2

Volume: lbh

l = 7, b = 5, h = 3

(7)(5)(3)

35(3)

105 cm^3

Answer:

[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]

________o____o_____

30–(x+5)=7x-7

30 – x–5 =7x -7

7x+x = 30-5+7

8x = 32

x= 32/8

x=4

I hope I helped you^_^

Answer:

y = 8

Step-by-step explanation:

The equation of a line parallel to the x- axis has equation

y = c

where c is the value of the y- coordinates the line passes through.

Then

y = 8 ← is equation of line parallel to the x- axis

Answer:

30

Step-by-step explanation:

just divide 60 by 2

If the distance between Nikki's cousin and Nikki is 60 miles and covered in 2 hours then the speed of the train is 30 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Nikki's cousin lives 60 miles away, so Nikki decided to take the train to visit him. If the trip took 2 hours. Then the speed of the train will be

[tex]\rm Speed = \dfrac{60}{2}\\\\Speed = 30 \ miles/hour[/tex]

More about the speed link is given below.

https://brainly.com/question/7359669

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Answer:

Angle 1 is 22°

Angle 2 is 78°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

To find Angle 2, you would have to do 180° take away 102°.

180-102=78°

Angles in a triangle also add up to 180°.

So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.

80+78=158°

180-158=22°

Hope this helps :)

Answer: -3

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x= -3

Given expression

5x - 4 [7 + (2x - 4)]

Substitute x value into the expression

=5(-3) - 4 [7 + (2(-3) - 4)]

Simplify by multiplication

=-15 - 4 [7 + (-6 - 4)]

Simplify value in parentheses

=-15 - 4 [7 + (-10)]

Simplify value in bracket

=-15 - 4 [-3]

Simplify by multiplication

=-15 - (-12)

=-15 + 12

=[tex]\boxed{-3}[/tex]

Hope this helps!! :)

Please let me know if you have any questions