If x° is the exterior angle and 50°and 60° are its opposite interior angle of a triangle, find x°.​

Answers

Answer 1

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles:

  x° = 50° + 60°

  x° = 110°

Answer 2

Answer:

x = 90

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

x = ∠ A + ∠ B = 30 + 60 = 90


Related Questions

WILL GIVE BRAINLIEST PLEASE ANSWER
A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?

The area of the new parallelogram is 1/2 the area of the original parallelogram.


The area of the new parallelogram is 1/4 the area of the original parallelogram.


The area of the new parallelogram is 1/16 the area of the original parallelogram.


The area of the new parallelogram is 1/8 the area of the original parallelogram.

Answers

Answer: The answer is 1/6.

Step-by-step explanation:

1/4 ^2 = 0.0625 which = 1/16.

The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.

When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.

The given scale factor is 1/4.

Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.

Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."

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Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

Answers

Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10

[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

How to solve equation of the line through point and parallel to a given line?

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Given

Equation of the line is 3x + 5y = 8.

Point = (10, 4)

First we find the slope of the line  3x + 5y = 8 by replacing it into slope intercept form:

[tex]3x + 5y = 8[/tex]

⇒ [tex]5y = -3x + 8[/tex]

⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]

Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].

Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]

⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]

⇒ [tex]5(y-4)=-3(x-10)[/tex]

⇒ [tex]5y-20=-3x+30[/tex]

⇒ [tex]3x+5y=30+20[/tex]

⇒ [tex]3x+5y=50[/tex]

Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

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Explain why a + b = d.
B
A
C
swer

Answers

Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Supplementary angles add up to 180°Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

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PLEASE HELP!Choose the slope and y-intercept that
correspond with the graph.
Click on the correct answer

Answers

The slope is -3/2 and the y-intercept is -3. If you need me to explain I can do that :) hope this helps

5x + y = 7
y - intercept = ?​

Answers

The y intercept is 7.

Answer:

y-intercept is = 7

Step-by-step explanation:

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.​

Answers

It’s the third one

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

Rectangle JKLM undergoes a sequence of transformations, resulting in rectangle J’K’L’M’. The length of side K’L’ is 6 units. The coordinates of vertex K’ are (-3, 2), and the coordinates of vertex M’ are (3, -2). Describe a sequence of transformations to rectangle JKLM that would result in rectangle J’K’L’M’.

Answers

Answer:

J,F,K

Step-by-step explanation:

J,F,K

A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

What is a rectangle?

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.

Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.

The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.

This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.

Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.

This will result in the length of side K'L' being 6 units.

Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).

Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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10. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5x + 6 = 7x + 5 - 2x original equation
5x + 6 = 7x - 2x + 5 apply the commutative property
5x + 6 = 5x+5
combine like terms
6 = 5
subtract 5x from each side
What can Han conclude as
result of these acceptable steps?
A. There's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
B. Any value of x can make the equation 5x + 6 = 7x + 5 - 2x true.
C. x = 6 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
D. x = 5 is a solution to the equation 5x + 6 = 7x + 5 – 2x.

Answers

Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

Which expression is a perfect cube?
mc013-1.jp g
mc013-2.j pg
mc013-3.j pg
mc013-4.jp g

Answers

Answer:

B on edge

Step-by-step explanation:

Got its right on the test

(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]

Perfect Cube:Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube. A number that may be expressed as three times the product of another integer is referred to as a perfect cube.Expression -An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].

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nd Practice
3. Divisors and multiples of a number
Consider 28=7x4.
a) What does 4 represent with respect to 28?
b) What does 7 represent with respect to 28?
c) What does 28 represent with respect to
each of the numbers 7 and 4?

Answers

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

Which number line correctly shows –3 – 1.5?

Answers

Answer:

A

Step-by-step explanation:

BRAINLIEST AND 40 POINTS PLZ HELP I NEVER GET HELP

Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units

Answers

6.40 units

You use the squaring method to fill in the triangle.

Count the sides 4 up and 5 across
Square them (16 and 25)
Add them together 16+25=41
Find the square root of 41 (6.40)

Good luck!

Answer:

6.4

Step-by-step explanation:

can someone please help.. will mark brainliest !

Answers

19. Is D
Because it’s cost 12 to join then she has to pay a monthly fee of 20 dollars. So it will be 12+20x because you don’t know how many months they’ll be going. Then 4 to join 22 for monthly same thing as the first one so 4+22x giving you 20x+12=22x+4

20. D
The key word was each, you don’t know how many times a week they’ll be buying so the the X substitutes that in.
(Hope that makes sense)

What Symbol makes them true sentence

Answers

Answer: B

Step-by-step explanation:

Abby has 96 photos from her vacation. She wants to make a scrapbook that has 24 pages with the same number of photos on each page.

Answers

Answer:

There will be 4 photos on each page

Step-by-step explanation:

96/24=4

How do you change a linear function based on changes in the real world?

Answers

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

Consider the expression –3(y – 5)2 – 9 + 7y.

Which statements are true about the process and simplified product? Check all that apply.

The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.

Answers

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

How to Simplify The Product of Polynomials?

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

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please help meh im so bad at this stuff lol

Answers

Answer:187.5

Step-by-step explanation: I am bad at explaining but il try.

if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.

2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.

Write an equation of a line through (4,-1), parallel to y = 1x – 5

Answers

y=1x -1

this is because you only change the z intercept when lines are parallel

A metal plate measuring 32cm by 12cm is cut into
small squares of side length 4cm. How many squares will
be cut?​

Answers

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Area of the metal plate = [tex] L \times B [/tex]

= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]

Area of small squares = [tex] a^{2} [/tex]

[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]

Number of squares that can be cut =

[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]

Hence 24 squares can be cut.

Very lost on this one! Anyone know?

Answers

Answer:

60

Step-by-step explanation:

In this case, all of the sides are equal. All sides should add up to 180 degrees.

x+x+x=180

180/3= 60

If p = 2 and q = 8, the value of p3 + V64 q ls____​

Answers

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The answer I got was: {{ 2,8}}

Hope this helps, and happy holidays!!

HURRYYY HELPP!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

Answer:

b

Step-by-step explanation:

WHAT HAPPENED ON THE DAY JUNE 6? PICK ANY YEAR

Answers

Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

What is the missing angle? PLS HELP

Answers

Answer:

70

Step-by-step explanation:

Graph the equation.
y=2x+5

Answers

Answer: you can use the table of values. And just plug these in

Step-by-step explanation:

x values: -2, -1, 0, 1, 2

Y values: 1,3,5,7,9

You're welcome! :)

Sorry I couldn't insert a picture.

1000¥ (Japanese Yen) is equivalent to $8.00. A shirt costing 650¥ would cost how many dollars?

Answers

Answer:

5.20

Step-by-step explanation:

I took a test and that was the answer

Find the slope of the given table

Answers

Answer:

7/3

Step-by-step explanation:

6- 13 = -7

0-3 = -3

7/3

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