What is the measurement for the exterior angle

What Is The Measurement For The Exterior Angle

Answers

Answer 1

First we find [tex]\angle ACB[/tex]

[tex]\angle ACB = 180 - (4x - 100) = 180 - 4x + 100 = 280 - 4x[/tex]

Then we find a equation for all the interior angles

[tex]180 = \angle ACB + \angle BAC + \angle ABC\\= 280 - 4x + x + 20 + x\\300 - 2x[/tex]

We solve for x

[tex]180 = 300 - 2x\\180 - 300 = -2x\\-120 = -2x\\2x = 120\\x = 60\\[/tex]

Now we find the exterior angle

[tex]\angle DCB = 4x - 100 = 4 \cdot 60 - 100 = 240 - 100 = 140[/tex]


Related Questions

1) On a road map, the distance from Louisville to St. Louis is 12 cm. If the map has
a scale of 2 cm = 20 miles, what is the distance to St. Louis?

Answers

On the scale of 2cm = 20 miles, take 12 Divided by two which will give you 6 Times 20 equals 80 miles

120 miles.

All you have to do to understand this problem is the relationship between the cm and mi.

In this case:

2cm =20mi.

The relationship is times 10, because 2 x 10=20

So multiply 12 by 10, and you will get 120mi.

Therefore, the answer is 120mi.

Please mark branliest if this helped.

Thank you

x/11 - 4 = 9/22
what is x

Answers

Answer:

x=97/2 or x=48.5 or 48 1/2

Answer:

x=97/2 or 2x=97

Step-by-step explanation:

hope it helps

If y varies directly as x squared and y = 72 when x =3, what is the value of y when x = 6? a. 18 b. 24 c. 288 d. 144 Please select the best answer from the choices provided A B C D

Answers

Answer:

it b why becaus

Step-by-step explanation:

Answer:

The answer is C. 288    

Just took the test

Step-by-step explanation:

I don’t know







Help me plzzzzzz

Answers

Answer:

the answer is 1/8

Step-by-step explanation:

Given expression is,

(6(3)^-1 (-5)^0)^-3

=  (6/3 * 1)^-3

= (2)^-3

= 1/8  Answer

Can someone help me ASAP please

Answers

Answer:

Y=2x-3

Step-by-step explanation:

If x represents a number, write an expression that represents a number 10 greater than x

Answers

Answer:

Step-by-step explanation:

Thirteen less than twice a number is fifteen. What is the equation? What is the number?

Answers

2x-13=15 is the equation. The number (x) is 14

Hi there!

Let the unknown number be c.

Twice a number means we multiply that number by 2:

2c

Now, subtract 13:

2c-13

This expression is equal to 15:

2c-13=15

As soon as I added the equal sign, and the number than the expression is equal to, the expression turned into an equation.

Now, let's solve it for c.

2c=15+13

2c=28

c=14

Hope everything is clear :-)

The ray XZ is the angle bisector of ∠WXY and m∠WXY = 160°. Enter m∠WXZ.

The measure of ∠WXZ is

Answers

Answer: 80°

Step-by-step explanation: divide 160° in half

This I really need help ASAP

Answers

Answer:

B

Step-by-step explanation:

You are researching the average emails received per day. You want to know how many employees you should survey if you want to know, at a 90% confidence level, that the sample mean emails per day is within 47 emails of the true mean emails per day. From above, we know that the population standard deviation is 155, and z-value is 1.645$_

Answers

Answer:

The value is  [tex]n =29 \ employees [/tex]

Step-by-step explanation:

Generally the number of employee to survey(sample size) is mathematically represented as

       [tex]n = [ \frac{z *  \sigma }{E} ]^2[/tex]

Here E is the margin of error which is given as E = 47

So substituting 1.645 for z and   155 for  [tex]  \sigma[/tex]

     [tex]n = [ \frac{1.645 *  155 }{47} ]^2[/tex]

=>    [tex]n =29 \ employees [/tex]

     

         

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x − 2) true?

Answers

Answer:

I think there is a mistake somwhere . Please can someone else try it out

Answer:-56

hope this helps

8-9 tpe when m=2,0-2,07​

Answers

Answer:

M. Code indicating an agency's program for which the PGA data set is related. ... Theft Prevention Equipment (TPE) Item – the replacement motor vehicle ... 1 2 3 4 5 6 7 8 9. 80. O I. H E A D L A M

Step-by-step explanation:

An aquarium keeps 5 fish in every 100 gallons of water. How many gallons of water are needed for 25​ fish?

Answers

Answer:

500 gallons

Step-by-step explanation:

25/5=5 5*100=500

Answer:

You need 500 gallons for 25 fish

Step-by-step explanation:

If 5 fish = 100 gallons, you need to find out 25 = ? gallons.

25 ÷ 5 = 5. 100 x 5 = 500 gallons.

whats 2+34233-2943+291*45=

what the anwser??????????????

Answers

Answer:

44387

Step-by-step explanation:

Answer:

1421235

Step-by-step explanation:

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 x 45 = 1421235

2 + 34233 = 34235 - 2943 = 31292 + 291 = 31583 ➗ 45 = 701.844444444

If its multiplication the answer is = 1421235

If division the answer is = 701.844444444 (calculator) or 701 r 38 (my brain)

Question: 11.23 x 10 to the power of 5, the answer is 11.2300000.

Explanation: multiple 10 x 10 x 10 x 10 x 10 = 10,000, then multiple 11.23 x 10,000 = 112300000, add the decimal places = 11.2300000.

Question: 11/20 a repeating or terminating decimal,

Answer: is terminating.

Question: 7 * 73 + 43, the answer is 554.

Explanation: multiple 7 x 73 = 511 + 43 = 554. If division then divide 7 into 73 = 10.4285714286 + 43 = 53.4285714286 (calculator answer). 7 into 73 = 1 r 3 = 1.3 + 43 = 44.3 or 44 r 3 (my brain answer).

I know some of the questions arent part of the asked one, but the plataform didnt let me answer them any but here.

I know I asnwered it too late, sorry.

if AB=6x-7 and BC=5x-3 find AC

Answers

Answer:

AC= AB+BC

= 6x-7+ 5x-3

= 11x-10

please can someone help asap this hw is due in a few hours

Answers

Answer:

.05 euro for each 1 pack of small,  around .051 euro for each medium, and around .052 euro for 30

Step-by-step explanation:

best to go for the small pack.  ill be .50 euros to get 10 small packs, .51 euros to get 10 medium packs, and .52 euros to get 1- big packs

This is my best guess, so don"t be rewarding me yet till you get it right

(this is the skeleton in your closet saying don"t forget to thank your gifts

m > 5m-4


Pls solve and show steps hurry pls !!!!

Answers

Answer:

move 5m over the sign so it is like this m-5m>-4 subract it will be-4m>-4 divide both sides by-4 m=1 negative divided by a negative is a positive

the answer is m<1

I subtracted 5 from both sides to get m-5m>-4

I simplified it to -4m>-4

divided both sides by -4 and got m<1 as the answer

find the number of possible positive real zeros of f(x)= -7x^4+ 49x^3+ 84x^2.
A.three
B.two or none
C.one
D.none

Answers

B.Two is your answer

2. A function y = 6sin (x-π / 3) cos (x −π / 3) - 1, where 0 ≤ x ≤3π / 2
a. Find all stationary points
b. Find all the extreme values.
c. Find the increasing function interval and the decreasing function interval
d. Check interval of concave (concave up and concave downward)

Answers

Answer:

if your solving for y the answer would be y= - 3sin(2x)+3cos(2x)X√3 -1,x∈R /2

Step-by-step explanation:

If you also want extra help with these math problems you can also download Photomath

solve for a and b
(6a-3)=(7b-10)

Answers

Answer:

for A=[tex]\frac{7b-7}{6}[/tex] and for B=[tex]\frac{6a+7}{7}[/tex]

Step-by-step explanation:

For A

[tex]\left(6a-3\right)=\left(7b-10\right)[/tex]

[tex]6a-3+3=7b-10+3[/tex]

[tex]6a=7b-7[/tex]

[tex]\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}[/tex]

[tex]a=\frac{7b-7}{6}[/tex]

For B

[tex]\left(6a-3\right)=\left(7b-10\right)[/tex]

[tex]7b-10=\left(6a-3\right)[/tex]

[tex]7b-10=6a-3[/tex]

[tex]7b-10+10=6a-3+10[/tex]

[tex]7b=6a+7[/tex]

[tex]\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}[/tex]

[tex]b=\frac{6a+7}{7}[/tex]

5. Write the slope-intercept form of an equation for a line with y-intercept 9 and
slope -3.
VAL

Answers

Answer:

y=-3x+9

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

solve the inequality 2(x+5)>8 ?

Answers

Answer:

2(x+5)>8

Step-by-step explanation:

=

x>-1

hope that's it

Hi!

I can help you with joy!

No worries, we can solve this inequality easily. :)

First of all, let's use the Distributive Property and distribute 2:

[tex]\rm{2(x+5)>8[/tex]

[tex]\rm{2x+10>8[/tex]

Now, move 10 to the right, using the opposite operation:

[tex]\rm{2x>8-10[/tex]

Subtract:

[tex]\rm{2x>-2[/tex]

Final Step: Divide both sides by 2.

[tex]\rm{x>-1[/tex] (Answer)

Hope it helps!

Ask me if you have any doubts.

[tex]\mathfrak{S^{i^{l^{e^{nt} } Nature} } }[/tex]

-10 = -b/4
solve for b, show steps please

Answers

-40 = -b
40 = b

b = 40

Answer:

b = 40

Step-by-step explanation:

-b/4 = - 10              Multiply both sides by 4

-b/4 * 4 = - 10 * 4

- b = - 40               Multiply both sides by -1

(-1) * (-b) = (-40)(-1)

b = 40

what is the distance between -3/7 and 2/8​

Answers

Answer:

[tex] \frac{19}{28} [/tex]

Step-by-step explanation:

distance between -3/7 and 2/8

[tex] = \frac{2}{8} - \bigg( - \frac{3}{7} \bigg) \\ \\ = \frac{2}{8} + \frac{3}{7} \\ \\ = \frac{2 \times 7}{8 \times 7} + \frac{3 \times 8}{7 \times 8} \\ \\ = \frac{14}{56} + \frac{24}{56} \\ \\ = \frac{14 + 24}{56} \\ \\ = \frac{38}{56} \\ \\ = \frac{19}{28} [/tex]

What do the horizontal lines in an elevation-versus-time graph mean?

Answers

It means it shows no change

What value of x makes this equation true?
5(x + 4) = 3x + 28
A. 4
B. 6
C.
12
D. 24

Answers

A. 4

5(4+4)=3(4)+28. This is true

5(4+4) is 40
3(4)+28 is 40
40=40.

A is correct
4

Help me solve this problem please

Answers

Answer:

I am assuming that you are talking about problem 2. so I will answer that.

Step-by-step explanation:

-2x + 6 ≥ 3x - 34

+2x        +2x

        6 ≥ 5x - 34

      +34       + 34

       40 ≥ 5x

       ÷5    ÷5

        8 ≥ x

So, x can be anything equal to or less than 8.

Answer:

x≤8

For the graph closed circle on 8 with the shading going to to left

Step-by-step explanation:

-2x+6≥3x-34 (given)

Subtract 6 on both sides

-2x≥3x-40

Subtract 3x on both sides

-5x≥-40

Divide by -5 on both sides

x≤8

*The sign flips because you divided by a negative (-5x)

I NEED HELP PLEASE;(
Dinkel's Bakery is having a sale on pumpkin pies. Each pie is cut into 8 pieces. If they have 2 (1/8) pies left, and Ms. Harte purchases 1(3/8) pies for her HR, how many pies will be left?

Answers

Answer:

3/4ths im pretty sure

Step-by-step explanation:

    2 1/8 -------  1 9/8

-    1 3/8------- - 1 3/8

_______       ______

6/8= 3/4

Elle has a sticker book with 12 pages of stickers. Her friend Erin's book has 3 times more pages. How many pages are in Erin's book?

Answers

Answer:

36 pages

Step-by-step explanation:

12 multiplied by 3 is 36

36 pages
12 (Erin’s total number of pages) x 3 times Erins pages = 36 Erins friends total pages

20. Matt is selling chocolate bars to make some extra money. In the first week of selling, he sold 2x2 + 3x − 1 chocolate bars. In the second week of selling, he sold 3x2 − 2x + 3 chocolate bars. If x = 2, how many chocolate bars did he sell in total over the two weeks?

Answers

Answer: 24

Step-by-step explanation:

Chocolate bars sold in first week:

= 2x² + 3x − 1

where x = 2

= 2x² + 3x − 1

= 2(2)² + 3(2) − 1

= (2×4) + 6 - 1

= 8 + 6 - 1

= 13

Second week

= 3x² - 2x + 3

= 3x² - 2x + 3

= 3(2)² - 2(2) + 3

= 12 - 4 + 3

= 11

Total chocolate sold = 13 + 11 = 24

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