41 = 5x + 35 and 3 = 4x + 10. Find the measure of x, 21 and 22.
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41 = 5x + 35 And 3 = 4x + 10. Find The Measure Of X, 21 And 22.12346587

Answers

Answer 1

Look : angle 1 + angle 3 = 180°

because it is a straight line.

Thus ;

[tex]5x + 35 + 4x + 10 = 180[/tex]

Simplification

[tex]9x + 45 = 180[/tex]

Subtract sides 45

[tex]9 x = 180 - 45[/tex]

[tex]9x = 135[/tex]

Divided sides 9

[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]

[tex]x = 15[/tex]

So x = 15°

_________________________________

angle 1 = 5x + 35°

angle 1 = 5 ( 15 ) + 35°

angle 1 = 75° + 35°

angle 1 = 110°

_________________________________

angle 1 + angle 2 = 180°

110° + angle 2 = 180°

Subtract sides 110°

angle 2 = 180° - 110°

angle 2 = 70°

_________________________________

And we're done...♥️♥️♥️♥️♥️


Related Questions

Find the distance between the two points in simplest radical form.
(-1,9) and (4, -3)

Answers

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

[tex]\bullet \: \: x _{1} = - 1 \\ \bullet \: \: x _{2} = 4 \\ \bullet \: \: y _{1} = 9 \\ \bullet \: \: y _{2} = - 3 \\[/tex]

Using Distance formula :

[tex]= > \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\ = > \sf d = \sqrt{ ({ 4 + 1)}^{2} + { ( - 3 - 9)}^{2} } \\ \\ = > \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} } \\ \\ = > \sf d = \sqrt{25 + 144} \\ \\ = > \sf d = \sqrt{169} \\ \\ = > \boxed{ \sf{ d = 13\:units }}\\ [/tex]

Answer: 13

Step-by-step explanation:

(-1, 9) \text{ and } (4, -3)

(−1,9) and (4,−3)

(x_1,y_1)\text{ and }(x_2,y_2)

(x  

1

,y  

1

) and (x  

2

,y  

2

)

\text{Distance Formula: }\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Distance Formula:  

(x  

1

−x  

2

)  

2

+(y  

1

−y  

2

)  

2

 

 

\sqrt{(-1-4)^2+(9-(-3))^2}

(−1−4)  

2

+(9−(−3))  

2

 

 

Plug in.

\sqrt{(-1-4)^2+(9+3)^2}

(−1−4)  

2

+(9+3)  

2

 

 

Negative of a negative is a positive.

\sqrt{(-5)^2+(12)^2}

(−5)  

2

+(12)  

2

 

 

Add/Subtract

\sqrt{25+144}

25+144

 

Square

\sqrt{169}

169

 

Perfect Square

13

13

Final Answer.

what is 72 divided by 2 plus 80 equal?

Answers

Answer:

116

Step-by-step explanation:

7x(2+5) solve
A.14x+5
B49x

PLS help

Answers

Answer:

B. 49x

Step-by-step explanation:

hope this helped!!

The answer is B. 49x.

7x(2 + 5)
14x + 35x
= 49x

i need help please someone

Answers

i think the answer is C ... if it’s wrong lmk thanks u have a good day

WHO WANTS BRAINLIEST ??

Answers

Answer:

From what I can see I'd have to say y=2/3x-1.5 but I can't really tell what the exact y-intercept is.

Step-by-step explanation:

What is
3a + 7 - 2a ?

Answers

Answer:

=a+7

Step-by-step explanation:

Answer:

a+7

Step-by-step explanation:

combine like terms

3a-2a+7

a+7

A school survey showed 18 out of 20 students preferred taking Art. What percent of the students prefer taking Art?​

Answers

Answer:

90 %

Step-by-step explanation:

18/20*100%

please give me brainly

Answer:

90percent

Step-by-step explanation:

What's 5+5????????????????

Answers

Answer:

10

Step-by-step explanation:

Are you okay

Do you need to talk to someone

10 I really hope this is a joke Pham

What is the answer to F(x)=-5x+7 if f(2)

Answers

Answer:

F(x)= -3

Step-by-step explanation:

Plug the 2 into your X variable

-5 (2) + 7

PEMDAS to solve

Multiply

-5 * 2 = -10

Add

-10 +7 = -3

Step-by-step explanation:

f(x)= -5x+7

f(2)= -5(2)+7

f(2)= -10+7

f(2)= -3

PLS HELP I GIVE BRAINLIEST NEED NOW

Nolan deposited $4000 into his account with 4% interest and came back to find he had $4800! How many years did he leave the money in the account for?

Answers

i think it’s 2 years

1,500 conpututre ;7% tax

Answers

Answer:

$1605

Step-by-step explanation:

1500 ⋅ 0.07 = 105

Add 105 to 1500

$1605

Hope I helped :)

Please consider Brainliest :)

A fruit stand sells 5 avocados for $3. how much will it cost for 12 avocados?

Answers

Answer: 7.2

Step-by-step explanation:

3/5=0.6

0.6*12=7.2

2.7·6.2–9.3·1.2+6.2·9.3–1.2·2.7 not pemdas

Answers

60

See steps

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.7" was replaced by "(27/10)". 8 more similar replacement(s)

STEP

1

:

           27

Simplify   ——

           10

Equation at the end of step

1

:

    27 62   93 12    62 93    12 27

 (((——•——)-(——•——))+(——•——))-(——•——)

    10 10   10 10    10 10    10 10

STEP

2

:

           6

Simplify   —

           5

Equation at the end of step

2

:

    27 62   93 12    62 93    6 27

 (((——•——)-(——•——))+(——•——))-(—•——)

    10 10   10 10    10 10    5 10

STEP

3

:

           93

Simplify   ——

           10

Equation at the end of step

3

:

    27 62   93 12    62 93   81

 (((——•——)-(——•——))+(——•——))-——

    10 10   10 10    10 10   25

STEP

4

:

           31

Simplify   ——

           5

Equation at the end of step

4

:

    27 62   93 12    31 93   81

 (((——•——)-(——•——))+(——•——))-——

    10 10   10 10    5  10   25

STEP

5

:

           6

Simplify   —

           5

Equation at the end of step

5

:

    27 62   93 6   2883  81

 (((——•——)-(——•—))+————)-——

    10 10   10 5    50   25

STEP

6

:

           93

Simplify   ——

           10

Equation at the end of step

6

:

    27 62   93 6   2883  81

 (((——•——)-(——•—))+————)-——

    10 10   10 5    50   25

STEP

7

:

           31

Simplify   ——

           5

Equation at the end of step

7

:

    27   31     279     2883     81

 (((—— • ——) -  ———) +  ————) -  ——

    10   5      25       50      25

STEP

8

:

           27

Simplify   ——

           10

Equation at the end of step

8

:

    27   31     279     2883     81

 (((—— • ——) -  ———) +  ————) -  ——

    10   5      25       50      25

STEP

9

:

Calculating the Least Common Multiple

9.1    Find the Least Common Multiple

     The left denominator is :       50

     The right denominator is :       25

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 1 0 1

5 2 2 2

Product of all

Prime Factors  50 25 50

     Least Common Multiple:

     50

Calculating Multipliers :

9.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

9.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      837

  ——————————————————  =   ———

        L.C.M             50

  R. Mult. • R. Num.      279 • 2

  ——————————————————  =   ———————

        L.C.M               50  

Adding fractions that have a common denominator :

9.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

837 - (279 • 2)     279

———————————————  =  ———

      50            50

Equation at the end of step

9

:

  279    2883     81

 (——— +  ————) -  ——

  50      50      25

STEP

10

:

Adding fractions which have a common denominator

10.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

279 + 2883     1581

——————————  =  ————

    50          25

Equation at the end of step

10

:

 1581    81

 ———— -  ——

 25     25

STEP

11

:

Adding fractions which have a common denominator

11.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1581 - (81)     60

———————————  =  ——

    25          1

Final result :

 60

PLEASE HELP ASAP!!! /

Answers

Answer:

3:4

3/4

3 to 4

The ratio 3:7 represents how many smiley faces there are compared to how many shapes there are in total.

11:28

Answer:

Faces to Blocks

3:4    3/4   3 to 4

Blocks to faces

4:3   4/3  4 to 3

Ratio 3:7 represents

a part to whole ratio

The math problem

28-17 = 11 so the answer is 11:28

Step-by-step explanation:

16r6sc/8r2s6 Which expression is equivalent to the given expression? Assume the denominator does not equal zero. A. B. C. D.

Answers

Answer:

B.  

Step-by-step explanation:

The required expression is equivalent to the given expression is C.

An equivalent expression for 16r6sc/8r2s6 is to determine.

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Numerator = it is the term positioned above in the ratio
Denominator = it is the term positioned below in the ratio

Here,  
= 16r6sc/8r2s6
Factored 16 into 8 * 2
= 8*2r6sc/8r2s6
Rearrange the numerator in order to simplify relative to denominator.
=8r2s6c/8r2s6
8r2s6 are common in the denominator and the numerator of the ratio denominator does not equal zero so it implies
=c/1

Thus the required expression is equivalent to the given expression is C.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ6

 

sara wong spent $15 on three fancy pens.how much did each pen cost

Answers

Answer:

$5

Step-by-step explanation:

3 pens=$15

3x=15

3x÷3=x 15÷3=5

1 pen is $5

Multiple Choice

Find each quotient.
one fourth divided by three eighths
A. one-third
B. two-thirds
C. start fraction 3 over 4 end fraction
D. three-eighths

Answers

Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)

Answer:

B

Step-by-step explanation:

-13=m-7 how can i get my answer

Answers

Answer:

m = -6

Step-by-step explanation:

-13=m-7

+7      +7

-6=m

Answer:

m=-6

Step-by-step explanation:

What you do is add 7 to both sides of the equation canceling the 7 out leaving you with -13+7 which is equal to -6 so, M=-6

Question 8
Translate and Solve
Twelve more than seven times a number equals the number less six. What is the answer not equation?

Answers

Answer:

-3

Step-by-step explanation:

12 + 7x = x - 6

7x - x = -6 - 12

6x = -18

x = -3

The translation of the given statement is 12 + 7n < 6.

What is inequality ?

Inequality is a form of comparing two non equal quantities.It has four types less than, less than or equal to and greater than, greater than equal to.

According to the given question we have to translate a given statement into a numerical expression.

Given, Twelve more than seven times a number equals the number less six.

Let the number be denoted by 'n'.

Twelve more than 7 times a number is 12 + 7n is less than 6.

12 + 7n < 6.

7n < 6 - 12

7n < -6

n < -6/7.

learn more about inequality here :

https://brainly.com/question/20383699

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If 20 squirrels can eat a bushel of corn in 10 hours, how many squirrels can eat a bushel of corn in 2 hours?

Answers

Answer:

Answer is 100

Step-by-step explanation:

1 x 10 = 10

10 x 20 = 200

It takes 1 squirrel 200 hours

so,

200/100 = 2 hours

The answer is 100

Hope that helps

Answer:

100

Step-by-step explanation:

just do 20*5. You get the 5 from 10÷2=5 Then 20*5=100!

10x-5y=20 solve for x

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

20/10

Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?

Answers

Answer: 10 weeks

Step-by-step explanation:

Nilda's money = 250 +15x being x the number of weeks that have passed    

Lona's money= 200+20x

If they have the same amount, then

250+15x=200+20x

250-200=(20-15)x

50=5x

50/5=x

10=x

Answer:

10 weeks

Step-by-step explanation:

Nilda's money = 250 + 15x

Lona's money = 200 + 20x

250 + 15x = 200 + 20x

250 - 200 = (20 - 15)x

50 = 5x

10 = x

HELP THIS IS DUE TODAY

Answers

Answer:

First box:6 inches

Second box: 5 inches

Step-by-step explanation:

[tex]V=\pi r^2h[/tex]

Divide both sides by [tex]\pi r^2[/tex]

[tex]h=\frac{V}{\pi r^2}[/tex]

First box: [tex]h=\frac{96\pi }{\pi(4)^2 } =\frac{96\pi }{16\pi } =6[/tex] inches

Second box: [tex]h=\frac{31.25\pi }{\pi (2.5)^{2} } =\frac{31.25\pi }{6.25\pi } =5[/tex] inches

solve the following inequality.
-3.55g<-28.4
which graph shows the correct solution?

Answers

Answer:

B

Step-by-step explanation:

Are the two statements equivalent?
The ratio of boys to girls is 3 to 4
The ratio of girls to boys is 4 to 3

Answers

[tex]Ihopethishelps[/tex]

Answer:

Yes

Step-by-step explanation:

boys to girls is  3 to 4 or 3:4

girls to boys is 4 to 3 or 4:3

-------------------------------------------------------------------

The genders are mixed up but the ratios are the SAME or EQUIVALENT.

-------------------------------------------------------------------

boys 3

girls 4

[tex]hopefullythishelpsyou[/tex]

[tex]enjoyyourday[/tex]

PLEASEE HELPP!! WILL MARK BRAINLIST!! What is the geometric mean of 2 and 50?

Answers

2 and 50. X=10
_______
X=V (2) (50)
_____
-> x = V 100
X= 10

Question Progress
2/4 Marks
Homework Progress
17/23 Marks
The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km.
a) Work out the real distance between
the ship and the base.
N
*B
b) Measure the bearing of B from S.
S*
A fishing boat F is 20 km from S on a bearing of 095°.
c) Mark the position of the fishing boat F with a cross (V).

Answers

Answer:

a) 35km

b) 070 degrees

Step-by-step explanation:

To get full marks look at what I did for question (c)

You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}

Thank you

write the given equation of the line that passes through the given points
(4,0) and (0,2)​

Answers

Answer:

y= -1/2x + 2

or y = -0.5x + 2

Step-by-step explanation:

Use the slope formula to get the slope:

(y2-y1)/ (x2-x1)

(2-0)/(0-4)

2/-4

-1/2

Plug in any point in Point-Slope Formula:

y - y1 = m(x-x1)

y- 0 = -1/2 (x -4)

y = -x/2 + 4/2

y= -1/2x + 2

If AB = 10, and BC = 5, what is the value of CD?

Answers

15 - in geometry it mostly just think about what goes together. I know a lot of people who get the set up and the format confused when all you honestly have to do is add subtract and find variables.

Michael's family was traveling to visit prospective colleges
They drove to the closest college that
interested him, took a tour, and then drove to another
college a little farther from home. The graph shown
represents the situation.

Answers

Answer:

Step-by-step explanation:

Domain is defined by the input values (x-values) on the graph.

Range is defined by the output values (y-values) on the graph.

From the graph attached,

Domain: [0, 5]

Range: [0, 300]

Maximum point of the graph is (5, 300). It denotes that Michael's family took 5 hours to reach the maximum point which is 300 miles from their home.

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