Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x. b) What is the measure of angle 2 ?

All angles are of triangle and thus give sum of 180⁰

x + 5 + 7x - 5 + x = 180⁰

9x = 180⁰

x = 20⁰

Answer:

it's 20

Step-by-step explanation:

(X+5)° + (7x-5)° + x°= 180° { sum of the three angles of the triangle is 180°}

X+5+7x-5+X = 180

X+7x+X+5-5= 180

9x+0 = 180

9x = 180

therefore X= 180/9

= 20

Answer:

Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

lanation:

Answer:

The short answer you are looking for is C!

Step-by-step explanation:

I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3

Answer:

it's 44

Step-by-step explanation:

6(8) - 4

48 - 4

44

Answer:

The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8

length x width x height = volume

1x2x2.5=5

2 1/2 = 2.5 because 1/2=0.5

to divide fractions multiply the reciprocal. The reciprocal is the fraction flipped over

5 / 1/8 = 5 x 8/1

5x8/1=40

40 cubes

Step-by-step explanation:

Answer:

hope this helps you

Answer:

x = 30°

y = 60°

z = 96°

Step-by-step explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.

Answer:

What is the question?

Step-by-step explanation:

Answer:

The answer 28.27 *2 = 56.54

Step-by-step explanation:

A= πr^2

The area of Maria's circle, which is double the area of circle G is: 56.52 sq. cm.

Given:

Radius (r) of circle G = 3 units

Area of circle G = π(3²) = 28.26 sq. units.

Area of Maria's circle = 2(area of circle G)

Therefore:

Area of Maria's circle = 2(28.26)

Area of Maria's circle = 56.52 sq. cm.

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Answer:

12

Step-by-step explanation:

Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.

Answer:

The value of z test statistic is 2.871.

Step-by-step explanation:

We are given that a software firm survey of 564 randomly selected adults showed that 56​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Let p = population proportion of adults who would erase all of their personal information online if they could.

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%      {means that adults who would erase all of their personal information online if they could is less than or equal to 50%}

Alternate Hypothesis, [tex]H_A[/tex] : p > 50%     {means that majority of adults would erase all of their personal information online if they could}

The test statistics that would be used here One-sample z test for proportions;

                            T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of adults who would erase all of their personal information online if they could = 56%

           n = sample of adults taken = 564

So, the test statistics  =  [tex]\frac{0.56-0.50}{\sqrt\frac{0.56(1-0.56)}{564} {} }[/tex]

                                       =  2.871

The value of z test statistic is 2.871.

Answer:

The dimensions of the vegetable patch is 8 m by 7 m.

Step-by-step explanation:

Area of a vegetable patch is 56 square meters and the perimeter is 30 m.

If l is length and b is breadth, then area and perimeter of a rectangle is given by :

[tex]A=l\times b[/tex]

[tex]P=2(l+b)[/tex]

Substituting the values in the above formulas as :

[tex]l\times b=56\ ....(1)[/tex]

and

[tex]2(l+b)=30\\\\l+b=15\ .....(2)[/tex]

We need to solve equation (1) and (2) to find the values of l and b such that :

Equation (2), l = 15 - b

Equation (1) becomes,

[tex](15-b)b=56\\\\b=7\ m, 8\ m[/tex]

If b = 7 m, so, l = 8 m

If b = 8 m, l = 7 m

So, the dimensions of the vegetable patch is 8 m by 7 m.

Answer: [tex]3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{18}[/tex] = [tex]\sqrt{3*6}[/tex] = [tex]\sqrt{3*3*2}[/tex] = [tex]\sqrt{3^{2}*2 }[/tex] = [tex]3\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Let's solve for g.

gx=(−14(x−21))(2)+47

Step 1: Divide both sides by x.

gx

x

=

−28x+635

x

g=

−28x+635

x

Answer:

g=

−28x+635

x

Answer:

A

Step-by-step explanation:

Here you can check by trying points along the number line that are not included in the other number line. For example, x = -3 is included in A but not in B and x = -5 is included in B but not in A.

If x = -3, the inequality 5x > -20 is true because -15 > -20.

If x = -5, the inequality 5x > -20 is false because -25 is not > -20.

There for the answer should include x = -3 and not include x = -5, so A.

Answer:

2-1=1 so A. is 100% more than B because A is 2 times bigger than B.

A. is the answer 2:1

Hope this helps

Step-by-step explanation:

The option that shows the ration A: B is Option C - 1:2. See the rationale below.

If A is 100% more than B, it means that A is equal to B plus 100% of B. In other words, A is twice the value of B.

Therefore, the ratio of A to B is 1:2, indicating that A is twice as much as B.

Recall that a ratio is a quantitative relationship between two or more quantities, indicating how many times one quantity is contained or repeated in relation to another quantity.

It is expressed as a fraction or with a colon (:), representing the relative comparison of the quantities.

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Answer:

2

Step-by-step explanation:

product of 2 and 8= multiply

2x8=16

Divide by 8

16/8=2

Answer:

x = -1

Step-by-step explanation:

15+3x=3(2−2x)

Distribute

15+3x = 6 -6x

Add 6x to each side

15+3x+6x = 6-6x+6x

15+9x = 6

Subtract 15 from each side

15-15+9x = 6-15

9x = -9

Divide by 9

9x/9 = -9/9

x = -1

Answer:120 1/6 feet sq.

Step-by-step explanation: Area of a rect. = length×breadth(width)

Area=12 1/2× 10 1/3

Area= 120 1/6

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The answer to this problem is 1/6.

The share of the pizza each friend will have is 1 / 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that three friends equally share 1/2 of a pizza. The fraction of the pizza shared by each friend will be:-

Fraction of pizza = ( 1 / 2 ) x ( 1 / 3 )

Fraction of pizza = ( 1 / 6 )

Therefore, the share of the pizza each friend will have is 1 / 6.

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Answer:

4/9, 11/13, 6/5

Step-by-step explanation:

Answer:

1335

Step-by-step explanation:

Starter + Main = 8 x 15 = 120

Main + Dessert = 15 x 9 = 135

Starter + Main + Dessert = 8 x 15 x 9 = 1080

120 + 135 + 1080 = 1335 possibilities

Answer:

Step-by-step explanation:

STARTER + MAIN:

8 x 15 = 120

MAIN + DESSERT:

15 x 9 = 135

STARTER + MAIN + DESSERT:

8 x 15 x 9 = 1080

120 + 135 + 1080 = 1335 possibilites

Answer:

24618 mm^3

Step-by-step explanation:

V = pi r^2 h

We know the diameter

r = d2/ = 28/2 = 14

V = pi (14)^2 (40)

Approximating pi to 3.14

V = (3.14 ) 14^2 *40

V =24617.6

Rounding to the nearest whole number

V = 24618

Answer:

35 years old.

Step-by-step explanation:

To find the age of Gwen, multiply Robin's age, which is 11, by 3, which gives you 33. Then add two to 33 to get Gwen's age, which is 35 years.

Answer:

Gwen is 35 years old

Step-by-step explanation:

In order to understand the word problem better, I turned it into and equation.

Since Gwen is 2 years older than 3 times Robins age, the equation would be:

Gwens age = (3 • Robins age) + 2

G = (3 • 11) + 2

G = (33) + 2

G = 35

So Gwen is 35 years old.

Answer:

The equation does not have a variable

Step-by-step explanation:

6=?-8

Answer: The equation does not have a variable to solve for x

Hope this helps.

Answer:

6÷8=0.75

Step-by-step explanation:

hheks ccu h ccu se bfi s no San kfi rn ko is GB bbn 9 guy dndvidbtdjd

Answer:

Step-by-step explanation:

28x3=84

Answer:

The answer is  84

Because 28x3=84

Answer:

The amount of loan ($20000) after 48 months with 1.5% (0.015) interest rate  is calculated by:

A = 20000 x (1 + 0.015/12)^48

   = 21235.94$

Monthly payment of Grace is calculated by:

M = A/number of month

   = 21235.94/48 = 442.4 = ~444$

Hope this helps!

:)

P.S: I did try the amortization formula, but something wrong with my calculator. I used other formula instead :)

Answer:

132 Miles

Step-by-step explanation:

First you must subtract $42 from $114.60.

[tex]114.60 - 42 = 72.6[/tex]

Then, you need to divide $0.55 by $72.6.

[tex]72.6 \div 114.60 = 132[/tex]

Hope this helped! :)

Answer:

a) [tex] t_{\alpha}= 1.753[/tex]

b) [tex] t_{\alpha}= -1.383[/tex]

c) [tex] t_{\alpha/2}= \pm 2.179[/tex]

Step-by-step explanation:

Part a

For this case we know that the degrees of freedom are:

[tex] df = 15[/tex]

And we want a right tailed test so then we need to find in the t distribution with degrees of freedom =15 a critical value who accumulate 0.05 of the area in the right and we got:

[tex] t_{\alpha}= 1.753[/tex]

Part b

For this case the significance is [tex]\alpha=0.1[/tex] the degrees of freedom are:

[tex] df = n-1= 10-1=9[/tex]

And since is a left tailed test the critical value for this case would be:

[tex] t_{\alpha}= -1.383[/tex]

Part c

For this case the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] the degrees of freedom are:

[tex] df = n-1= 13-1=12[/tex]

And since is a two tailed test the critical values for this case would be:

[tex] t_{\alpha/2}= \pm 2.179[/tex]

Answer:

  D.  Each digit has a value 10 times the value of the digit to its right and 1/10 of the value of the digit to its left

Step-by-step explanation:

Digits increase in value by a factor of 10 for each place you move to the left. Hence a digit to the right has 1/10 the value.

_____

Comment on place value

The multiplier for a base-10 (decimal) number system is 10 as you move one place to the left. In some other base, the multiplier is that base. In a binary (base-2) number system, each "bit" increases in value by a factor of 2 as you move to the left.

Therefore, the "Choice D" is the only correct answer.

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