What is the value of w?

What Is The Value Of W?

Answers

Answer 1

Answer:

w = 60

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

w + 20 is an exterior angle of the triangle , then

w + 20 = w - 10 + w - 30

w + 20 = 2w - 40 ( subtract w from both sides )

20 = w - 40 ( add 40 to both sides )

60 = w

Answer 2

Answer:

w=60°

Step-by-step explanation:

triangle=180°

angle on a straight line=180°

using that,

we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"

so, 180-(w+20)=X

expand bracket by multiplying it with the "-"

so it'll be: 180-w-20=X

then rearrange to get like terms together

180-20-w=x

160-w=x

so the missing angle in the triangle is now (160-w)°

now using the angles in a triangle =180°

we add all the angles and equate it to 180, so:

w-30+w-10+160-w=180°

collect like terms again:

w+w-w-30-10+160=180

2w-w+120=180

w+120=180

move 120 to the other side and remember the sign changes, so:

w=180-120

therefore w=60°

now you can substitute w=60 into the triangle and see you'll get 180°

hope that helps


Related Questions

Which ratio is equivalent to 3:6

Answers

Answer:

I can't see what the options are, but any fraction equal to 1/2 will be equal to 3:6.

Step-by-step explanation:

Treat a ratio like a fraction. In this case, 3 is the numerator and 6 is the denominator. If you reduce 3/6, you get 1/2. Fractions/ratios also equal to 1/2 or 3/6 are:

2:4

4:8

5:10

6:12

7:14

8:16

9:18

10:20

If any of these ratios are not one of the options, comment below with the choices and I will help you narrow it down.

Answer:

6:12,

Step-by-step explanation:

equivalent ratios are when all numbers in a ratio can be divided or multiplied to get a whole number. for example, 3:6. the 3 can be multiplied by 2 to get 6, and the 6 can be multiplied by 2 to get 12.

anyways bye taniya from concord

There are two labeled weights of 4 grams and 12 grams. The three circles each have the same weight. what is the weight of each circle in grams? show your thinking

Answers

I think the right Answer 8/3

Answer:

8/3

Step-by-step explanation:

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

We have to determine,

What is the weight of each circle?​

According to the question,

Let the weight of each circle be x.

This hanger is in balance. there are 2 labeled weights of 4 grams and 12 grams the 3 circles have the same weight.

The hanger is in the balanced state then the sum of all weight of the left-hand side is equal to the sum of all weight of the right-hand side.

Left hand side weight = x+ x + x+ 4 = 3x+4

Right hand side weight = 12

Then,

The hanger is in a balanced state, the weight of each circle is given by,

The weight of the left-hand side = the weight of the right-hand side

The value of x is 8/3.

Hence, The weight of each circle is 8/3.

7) What will be the new position of the given point (9,-4) after reflection across
the line x = 1?
a) (7,4)
b) (7,-4)
c) (-7,-4)
d) (-7,4)

Answers

Answer:
The new point would be (-7, -4)
Step-by-step explanation:
I did it

Jose created a ball pit for his little sister to play in. He put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. While his sister is playing, one ball rolls out of the pit. What is the probability that the ball is red?

Answers

Answer:

0.20

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

Please help asap I put a photo




For each relation, decide whether or not it is a function. ​

Answers

Answer:

1: Function

2: Function

3: Not a function

4: Function

Step-by-step explanation:

1: Not a function

2: Function

3: Not a function

4: Function

REMINDER: If a x value has two diffreent y values, it is NOT a function!!!!

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!!

What does this equal to?

Answers

X=5/4 or 1.25
Y= 15/16 or 0.9375

x=5/4 and y=15/16

hopefully this will help with your questions

WILL GIVE BRAINLIEST PLS ANSWER FAST IM IN HUGE RUSH
What is the density of a metal with a mass of 450 grams and a volume of 5 cubic centimeters?
A. 50 g/cm cubed
B. 90 g/cm cubed
C. 250 g/cm cubed
D. 225 g/cm cubed

Answers

Density= gram/volume
D=450g/5cm^3
D= 90g/cm^3

Answer: I’m not sure if I’m right, but I just divided 450 by 5 and got 90! I tried using the calculators for this sort of problems but none were any help. I think B is the one to go with!

5 Loni purchased a sweater with a regular price of $45.00. The sweater was on
sale for 20% off, and the sales tax rate is 8.25%. How much did Loni pay for the
sweater?
A $2.97
B $9.00
C $36.00
D $38.97

Answers

Answer:

D is correct

Step-by-step explanation:

First we find 20% of the price and subtract it

[tex]45*0.20=9\\45-9=36[/tex]

Next we find how much tax would be

[tex]36*0.0825=2.97[/tex]

then we add the two amounts together to get the final price

[tex]36+2.97=38.97[/tex]

HELP LOOK AT THE PIC ( Write the number of the vertices) I FORGOT THIS SINCE YEARS AGO

Answers

Answer:

3 vertices

Step-by-step explanation:

Vertices are the "points" of a 2D figure. In this case, we see the 2D figure as a triangle. There are 3 points on the triangle, so there are 3 vertices.

Help me plsss I’m not smart

Answers

Answer:

It tastes the same!

Step-by-step explanation:

Hope you have a wonderful day!!

If it helped mark me as brainliest!

Pls:).......................

Answers

Answer: ECB and ABC

lmk if im wrong :)

Show proportion and how to solve please

Answers

Answer:

  x = 8

Step-by-step explanation:

In this geometry, all of the triangles are similar right triangles. That means corresponding sides are proportional. The proportion you write will express that relation for the sides you are given.

  long side / short side = x/4 = 4/(x-6)

Multiplying this proportion by 4(x-6) gives ...

  x(x -6) = 16

We can add 9 to complete the square.

  x^2 -6x +9 = 16 +9

  (x -3)^2 = 25

  x -3 = 5 . . . . . . . take the square root (only the positive root is of interest)

  x = 8 . . . . . . . . . add 3

(please help!! look at the images here)

Answers

Answer:

On friday the chef made about 0.8333 batches or 7.5/9 of a batch of ice cream.

On thursday the chef made about 0.67 batches or 2/3 of a batch of icecream

Step-by-step explanation:

which point represents the vertex of the marked angle

Answers

Answer: E Step-by-step
explanation: Given : AEC To
Find: Which point represents
the vertex

I need help solving this

Answers

Answer:

  AD ≈ 80

Step-by-step explanation:

The Pythagorean theorem can be used to write and solve relations between the various edges and diagonals.

AE is the hypotenuse of ΔABE, so you have ...

  AE² = AB² +BE²

  BE² = AE² -AB² = 65 -52 = 13

__

AD is the hypotenuse of ΔACD. We presume the figure is a rectangular prism, so CD = BE. Then you have ...

  AD² = AC² +CD²

  AD² = 80² +13 = 6413 . . . . . CD² = BE² = 13

  AD = √6413 ≈ 80.081

  AD ≈ 80

The float committee made a scale model of their float before they started construction. 1 inch = 3 feet to create their model. The actual float will be 18 feet long

Answers

It can be deduced from the scale computed that the model will be 648 inches.

How to solve the scale

Since 1 foot = 12 inch

18 feet = 12 × 18 = 216 inches.

In this case, since 1 inch = 3 feet was used to create their model, the model in their scenario will be:

= 216 × 3

= 648 inches.

In conclusion, the model is 648 inches.

Learn more about scale on:

https://brainly.com/question/261465

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANK YOU

Answers

Should be C because that’s the answer that i am giving

the diagram shows the dimensions of the pool cover for a hotel pool. find the area of the pool cover

Answers

Answer:

b, the area is 978 square inches.

Step-by-step explanation:

Just do it step by step, and one polygon at a time.

Help Me Please Auto Brainliest whoever get the correct answer

Answers

Step-by-step explanation:

1) A corresponds to F (your screen shot is cut off, that option is not shown)

2) E) B corresponds to D

3) F) C corresponds to E

4) H) angle A corresponds to angle F

5) B) angle B corresponds to angle D

6) A) angle C corresponds to angle E

7) C) side AB corresponds to side FD

8) D) side BC corresponds to side DE

9) G) side AC corresponds to side FE

10) A.

of course they are similar. being congruent means that if you turn them to have the same orientation and then move them on top of each other, they cover each other up perfectly. so, in essence, they are even equal.

of course, being equal makes them also similar ...

11. D.

12. A.

Use the diagram below to answer this question.

Find the length of the skid marks.

Just write the number, do not put the unit of measure.

Answers

Answer:

700 is your answer I think I'm not good at math so if it is wrong sorry

A tree is growing on a hill. In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground. The wire is anchored to the ground 10 feet from the base of the tree. At what angle is the tree growing in relation to the hill?.

Answers

The angle between the sides 6 feet and 10 feet is 93.82 degrees by using the cosine rule.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a triangle.

A tree is growing on a hill.

In an attempt to make the tree grow straight up, a 12-foot-long wire is attached to a tree at a point 6 feet off the ground.

The wire is anchored to the ground 10 feet from the base of the tree.

We know that the cosine rule is given as

[tex]\rm Cos \theta = \dfrac{a^{2} +b^{2} - c^{2} }{2ab}[/tex]

We have

a = 6

b = 10

c = 12

Then angle will be

[tex]\rm Cos \theta = \dfrac{6^{2} +10^{2} - 12^{2} }{2*6*10}\\\\\rm Cos \theta = \dfrac{36+100-144}{120}\\\\\rm Cos \theta = \dfrac{-8}{120}\\\\\theta \ \ \ \ \ = cos^{-1} \dfrac{-8}{120} \\\\\theta \ \ \ \ \ = 93.82[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

c. 93.8

Step-by-step explanation:

Got it correct

Complete the
proportion
3 is to 4 as 75 is to...

Answers

Answer: 100

Step-by-step explanation:

[tex]\frac{3}{4} = \frac{75}{x}[/tex]

3 x 25 = 75

4 x 25 = 100

please show work

5x+20=3x+4

7x-4=3x+8

2x+6=x-9

Answers

Answer:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

Step-by-step explanation:

To evaluate an expression, first calculate the

powers, then multiply and divide in order from

left to right, and finally add and subtract in order

from left to right. Parentheses have preference.

example: 14 − 3

2

= 14 − 9 = 5

example: 2• 4 + 3•5 = 8 +15 = 23

example: 10 − 2 • 3

2

=10 − 2 • 9 =10 −18 = −8

example: (10 − 2) • 3

2

= 8•9 = 72

Problems 1-7: Find the value:

1. 2

3

= 5. 0

4

=

2. −2

4

= 6. (−2) 4

=

3. 4 + 2•5 = 7. 1

5

=

4. 3

2

− 2 • 3+1=

Problems 8-13: Find the value if a = −3, b = 2 ,

c = 0, d = 1, and e = −3:

8. a −e = 11. e

d

+

b

a

2d

e

=

9. e

2

+ (d − ab)c = 12. b

e

=

10. a −(bc − d) + e = 13. d

c

=

[MA]:

x = -8

x = 3

x = -15

The explanation:

5x + 20 = 3x + 4

5x = 20 - 20 = 3x + 4 - 20

subtract = subtract = 5x = 3x - 16

5x = 3x - 16

5x - 3x = 3x - 16 - 3x

7x - 4 = 3x + 8

7x - 4 + 4 = 3x + 8 + 4

7x = 3x + 12

7x = 3x + 12

7x - 3x = 3x + 12 - 3x

2x + 6 = x - 9

2x + 6-6 = x - 9-6

2x = x - 15

2x = x - 15

2x - x = x - 15 - x

x = - 15

Which expression correctly represents "six more than the product of five and a number, decreased by one"? 6 5 n minus 1 6 5 n minus 1 6 5 (n minus 1) (6 5) n minus 1.

Answers

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1), the correct option is C.

What is expression?

An expression is a sentence with a minimum of two numbers and at least one math operation.

This math operation can be addition, subtraction, multiplication, and division.

Given

The expression correctly represents "six more than the product of five and a number, decreased by one".

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is;

= 6 + 5 (n minus 1)

Hence, the expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1).

To know more about expression click the link given below.

https://brainly.com/question/553729

Simplify the expression

(4a^-2)^4

Answers

Answer:

a^8/256

Step-by-step explanation:

hope this helps!!

A. 124ft
B. 125ft
C. 126ft
D. 123ft

Answers

Answer:

[tex] \sqrt{950} [/tex]

Step-by-step explanation:

3800=4(x^2)

x^2=950

which expression is equivalent to the trigonometric expression

Answers

Answer:

A: [tex]csc(\theta)[/tex]

Step-by-step explanation:

Let's rewrite the expression in terms of sine and cosine, then simplify what can be simplified.:

[tex]sin(\theta) \cdot \frac{cos^2(\theta)}{sin^2(\theta)}\cdot \frac 1{cos^2(\theta)} =\\\frac1{sin(\theta)} = csc(\theta)[/tex]

The diameter of a circle is 24 millimeters. What is the circle's circumference? Use 3.14 for .​

Answers

Answer:

C=75.4

Step-by-step explanation:

Answer:

c = 75.36 mm

Step-by-step explanation:

r=D/2=24/2=12mm

[tex]c=2\pi r[/tex]

[tex]c=2(3.14)(12)=75.36mm[/tex]

Hope this helps

Fill in the blank. Thomas buys a washer for $350 and a dryer for $300. The sales tax is 7.5%. How much will he pay for the washer and dryer, including sales tax?

Answers

Answer:

$698.75

Step-by-step explanation:

Washer - 350$

Dryer - 300$

Total of these two items = 650$

1% of 650$ = 6.5$

$6.5 x 7.5% = 48.75

Tax - 48.75$

350 + 300 + 48.75 = 698.75

PLEASE HELP I NEED TO MAKE A COMPOUND INEQUALITY (I ATTACHED THE IMAGE THIS TIME)

Answers

Answer:

I think you need to draw it with graph.

Step-by-step explanation:

Kareem plans to get eight hours of sleep but looses a half hour of sleep every time his dog barks. Therefore between his hours of sleep (h) and number of dog barks (b) will be:

h = 8 – (b/2)

So that if b = 0,

Kareem’s hours of sleep:

h = 8-(0/2)

= 8-0

= 8

if b = 5

h = 8 -(5/2)

h = (16-5)/2

h = 11/2

h = 5.5

And...Draw a graph about it

Hope this help you.

It nearly took me about a life to understand the question :")

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