Mathematics High School

A side of the triangle below has been extended to form an exterior angle of 146°. Find
the value of x.
146°
.

A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 146. Findthe Value Of X.146.

Answers

Answer 1

Answer:

The measure of angle x° = 34°.

Step-by-step explanation:

It is given that a

We know that side of the triangle below has been extended to form an exterior angle of 146°.

It is clear that  x° and 146° are adjacent angles.It is clear that x° and 146° lie on a straight line.

We know that a straight line makes a straight angle of 180°.

Thus,

The sum of x° and 146° must be 180°.

x° + 146° = 180°

subtract 146° from both sides

x° + 146° -  146°  = 180° - 146°

x° = 34°

Therefore, the measure of angle x° = 34°.

Related Questions

i need help with the question below

Answers

Part A: 24.15/15
Part B: $1.61

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?

Answers

77 I hope it’s correct

DO THESE ALL PLZZ IM GIVING BRAINLIEST

Answers

Answer:

2/3, 2 and 1/6, 9/2

3:4 or 3/4

38%, 19/50, 0.38

97%, 97/100, 0.97

Step-by-step explanation:

Answer:

Step-by-step explanation:

5) Red :  Green = 15 : 20 = 3 : 4

6) a) 28%

[tex]\frac{28}{100}[/tex]

0.28

b) 97%

97/100

0.97

A basement is shaped like a rectangular prism with a length of 14 yards, a width of 6 yards, and a height of 3 yards.

What is the volume of the basement?

Answers

volume = l x w x h

- plug in the numbers

14 X 6 X 3 = 252 yards^3

!!!!NEED HELP ASAP PLS PLS PLS !!!
In a valley, Checkpoint A is located at 44 feet below sea level. Checkpoint B is located at 77 feet above sea level. How much higher is Checkpoint B than A?

121 feet
111 feet
33 feet
−33 feet

Answers

44 + 77 = 111

The answer is 111 feet.

4.

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.


legs: 24 in. and 16 in.



A. 34.7 in.


B. 31 in.


C. 28.8 in.


D. 17.9 in.

Answers

Answer:

The answer is C. 28.8 in

Step-by-step explanation:

Given a=16 and b=24,

c = 28.84441 = 8√13

∠α = 33.69° = 33°41'24" = 0.588 rad

∠β = 56.31° = 56°18'36" = 0.98279 rad

h = 13.3128

area = 192

perimeter = 68.84441

inradius = 5.57779

circumradius = 14.42221 = 4√13

The sum of two numbers is 51.

The difference of the same two numbers is 9.

What are the two numbers?

Answers

Answer:

21 and 30

Step-by-step explanation:

x + y = 51

x - y = 9

add the two equations and y's will cancel out

2x = 42  divide by 2

x = 21   so put 21 in for x in the top equation and solve

21 + y = 51

y = 30

Helppppppppppppppppppppppppppppppppppppp

Answers

The equation would be y = -5/4x + 3.

To find slope you would use the slope formula of (y2-y1)/(x2-x1). This gives us the slope of -5/4. Then we find the y-intercept. When looking on the graph we see the only y intercept is the point (0,3), so we get the number 3.

Answer:

1.25X+3

Step-by-step explanation:

(-4,8) AND (4,-2)

Rise

-------

Run

8+2 =  10

-4-4=  -8

1.25

from the y intercept 0, the line is a 3, (0,3)

The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left and 7 units up.
Then, give the coordinates of the marked point in the original figure and the final figure.

Point in original figure:
Point in final figure:

!!​

Answers

Answer:

I'm pretty sure it's

original (4, -4)

final figure (-4, 3)

What is the least possible positive integer-value of n such that sqrt{18\cdot n \cdot 34}$ is an integer?

Answers

Answer:

n = 17. This means, √(18 x 17 x 34) = √(10404) = 102.

Step-by-step explanation:

An integer is a number that is not a fraction.

Given √(18 x n x 34), for the expression to be an integer, the product must be a perfect square. We are looking for n, the smallest number to multiply 18 x 34 to make it a perfect square. We have:

18 x 34 = 2 x 9 x 2 x 17 = 2 x 3 x 3 x 2 x 17 = 2² x 3² x 17.

From here, we see that we need to multiply an extra 17 to make it a perfect square, therefore n = 17. So we have:

√(18 x 17 x 34) = √(10404) = 102

The least possible positive integer-value of n such that [tex]\sqrt{18\cdot n \cdot 34}[/tex] is an integer is 17

The expression is given as:

[tex]\sqrt{18\cdot n \cdot 34}[/tex]

Expand the equation

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 9 \times n \times 2 \times 17}[/tex]

Express 8 as 3^2

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 3^2 \times n \times 2 \times 17}[/tex]

Rearrange the factors as follows:

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2 \times 2\times 3^2 \times n \times 17}[/tex]

Express 2 * 2 as 2^2

[tex]\sqrt{18\cdot n \cdot 34} = \sqrt{2^2\times 3^2 \times n \times 17}[/tex]

Evaluate all exponents

[tex]\sqrt{18\cdot n \cdot 34} = 2\times 3 \times \sqrt{n \times 17}[/tex]

[tex]\sqrt{18\cdot n \cdot 34} = 6 \times \sqrt{n \times 17}[/tex]

For the expression to be an integer, then the radical must be a perfect square.

Given that the expression in the radical is [tex]{n \times 17[/tex], then the value of n must equal 17, at the very least

i.e.

[tex]n = 17[/tex]

Hence, the least possible positive integer-value of n is 17

Read more about integers at:

https://brainly.com/question/13136492

Examine rectangle JKLM, shown below.

If JN=x+3 and JL 3x + 1, determine which of the following values is correct

Answers

Answer:NM=8

Step-by-step explanation:

JN is half of JL so x + 3 times 2 is equal to 3x + 1

then u just do the work

2x+6=3x+1

5=x

then you just plug in the answers and JN is equal to 8 therefore NM is also equal to 8

To solve the problem we must know about the properties of the diagonals of a rectangle.

What are the properties of the diagonals of a rectangle?The diagonals of a rectangle are of equal length.The diagonals of the rectangle bisect each other at equal distances.

The correct statement from all the given options is D.

Given to us

JN = x+3

JL = 3x+1

What is the value of x?

We know that the diagonals of the rectangle bisect each other at two equal parts, therefore, JN=NL, also

[tex]JL = JN + NL\\\\\text{Substituting the values,}\\\\3x+1 = x+3 + NL\\\\3x+1 = x+3 + NL\\\\3x-x=3-1+NL \ \ \ \ \ [JN=NL]\\\\2x = 2 + JN\\\\2x = 2 + x+3\\\\2x-x=5\\\\x = 5[/tex]

Value of diagonals

As we know the values of the diagonals are equal, therefore,

JL = KM = 3x + 1

JL = KM = 3(5) + 1

JL = KM = 16

Value of half Diagonals

We know that the diagonals of the rectangle bisect each other at two equal parts, also the diagonal are equal therefore all the four parts of the two diagonals will be equal.

JN = NL = KN = NM = x+3

JN = NL = KN = NM = 5+3

JN = NL = KN = NM = 8

Hence, the correct statement from all the given options is D.

Learn more about Diagonals:

https://brainly.com/question/13318029

I NEED HELP!! I DON'T UNDERSTAND THIS AND I NEED IT BAD!

Answers

Answer:

12

Step-by-step explanation:

Brianne evaluated the expression 42+4(6-2)

Answers

Answer:

Follow the rule of BODMAS (brackets, of, division, multiplication, addition, subtraction)

Ans: 58

Step-by-step explanation:

42 + 4(6 - 2)                           Process --> 6 - 2 = 4

= 42 + 4 * 4                            Process --> 4 * 4 = 16

= 42 + 16                                Process --> 42 + 16 = 58

= 58

Hope this helps :)

If the sales tax for the city of Los Ángeles is 9.75% , how much tax would you pay for an item that costs $200.00

Answers

Answer:

219.50

Step-by-step explanation

9.75% can be converted into 0.0975 so multiply  0.0975 by 200 you get 19.5. add 19.5 to 200 and you get 219.50

2x -1 = x - 3
what's x?​

Answers

Answer:

-2

Step-by-step explanation:

2x-1=x-3

2x=x-2

x=-2

Use the Difference of Squares rule to multiply (7x−3)(7x+3)
HELPPPP

Answers

Answer:

x^4 + 7x^3 + 12x^2

Simplifying

x4 + 7x3 + 12x2

Reorder the terms:

12x2 + 7x3 + x4

Factor out the Greatest Common Factor (GCF), 'x2'.

x2(12 + 7x + x2)

Factor a trinomial.

x2((4 + x)(3 + x))

Final result:

x2(4 + x)(3 + x)

Step-by-step explanation:

A musician started his practice at 10:15 p.M. He finished his practice at 11 p.M. How many minutes did he practice?

Answers

Answer:

45 minutes

Step-by-step explanation:

Answer:

45 minutes

Step-by-step explanation:

60(an hour, 11pm) - 15 = 45

The original price of a suit is $150. The store decides to mark up the suit 75%. What price is the store selling the suit for?

Answers

Answer:

262.50

i think thats the answer.

Answer:

$162.50

Step-by-step explanation:

75% of 150 is 112.5

112.5 + 150 = 162.5

Find the volume of a juice box that is 3 in by 1 1/2 in by 4 inches

Answers

Answer:

The volume of a juice box is 18 cubic inches.

Step-by-step explanation:

Given the dimensions

3 in by 1 1/2 in by 4 inches

Interpreting the dimensions such as:

[tex]l = 3[/tex] inch[tex]w=1\frac{1}{2}=\frac{3}{2}[/tex] inch[tex]h = 4[/tex] inch

Using the formula to determine the volume

[tex]V=\:l\:\times \:w\:\times \:h[/tex]

substitute l = 3, w = 3/2, h = 4

[tex]V=3\times \frac{3}{2}\times \:4[/tex]

[tex]V\:=\:\frac{36}{2}[/tex]

[tex]V = 18[/tex] cubic inches

Therefore, the volume of a juice box is 18 cubic inches.

Let f(x) and g(x) be polynomials as shown below.


Which of the following is true about f(x) and g(x)?
f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial.

Answers

Answer:

i think it is a but i am not sure please let me know

Step-by-step explanation:

good luck!

There are 4 red marbles, 2 blue marbles, and 6 green marbles in a bag. What is P(red)?

Answers

Answer:

well 1/3 is red

Step-by-step explanation:

Thomas buys a coat in the 15% off sale for £35.70.

How much would the coat have cost before the sale?​

Answers

Answer:

53.55

Step-by-step explanation:

35.70

10%:35.7

5%=17.85

35.7+17.85=53.55

Answer: 42

Step-by-step explanation: 15 percent of 42 is 6.3

What was the original price of a bookshelf whose price is $16, when there is a sale for 75% off of the original price?

Answers

Answer:

$64.00

Step-by-step explanation:

64-75%

may you guys help me with this question. i'm not good at percentage <:3

Answers

Answer:

i got 55% but...

Step-by-step explanation:

44/80 is 55

Factorise fully 3x+3

Answers

3(x+1) take the three out and x+1 in brackets

Find the circumference of a circle with radius of4 inches use 3.14 for pi round your answer to the nearest hundredth

Answers

Answer:

25.136 in

Step-by-step explanation:

Step one:

given data

radius = 4 inches

Circumference= 2πr

substitute

C=2*3.142*4

C=25.136 in

The circumference is 25.136 in

I need to know how to solve this and the answer

Answers

Usually shssusywgwowksuehvewkak

Help with this please

Answers

Answer:

-29

Step-by-step explanation:

-5•5=-25

-25-4=-29

The answer is f(5)= -29

Solve the system by substitution.
y = -2.x
y = -9x + 21

Answers

since y=-2x, we can substitute into the second equation to get:

-2x=-9x+21

add 9x

7x=21

divide by 7

x=3

4 Two rectangles have a scale factor of 3. If the area of the smaller rectangle is 45, what is the area of the larger rectangle?​

Answers

Answer:

I need the PONTS

Step-by-step explanation:

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