If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual measure of angle 1?\

Answers

Answer 1

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

[tex]2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17[/tex]

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

[tex]\angle1=2(17)+6\\\angle1=34+6\\\angle1=40[/tex]

So, the actual measure of ∠1 = 40°


Related Questions

Translate the following statement: "Your grade, g, must be at least
75 to pass this class."

Answers

Answer:

"Your grade, g, must be at least  75 to pass this class'' is translated as:

g ≥︎ 75

Step-by-step explanation:

Given the grade is denoted by 'g'.

In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.

As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.

Therefore, "Your grade, g, must be at least  75 to pass this class'' is translated as:

g ≥︎ 75

Plz I'm sooooo confuzzled: If you reflect any shape across the x-axis and then across the y-axis, do you get the same result that you would if you rotated it 180° about the origin? What does that mean?

Answers

Answer:

the answer is true

Step-by-step explanation:

If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.

Answer:

it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.

so reflecting about y and then about x is the same as rotating 180°.

Step-by-step explanation:

if you reflect (x, y) in 180° it becomes (-x,-y)

when you reflect about the y-axis, (x,y) becomes (-x,y).

when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°

You make a necklace using blue,purple and green beads in ratio of 1:3:5. You use a total of 126 beads. How many green beads are in the necklace?

Answers

14 blue, 42 purple, 70 green. i believe

Answer:

Step-by-step explanation:

x + 3x + 5x = 126

9x = 126

x = 14 (blue beads)

3(14) = 42 (purple beads)

5(14) = 70 (green beads)

A museum has 6,000 visitors in its first month of operation. The museum staff predicts that the number of visitors will increase by 5% each month. Assuming that this prediction is true, how many visitors does the museum expect on the 7th month of operation?​

Answers

Multiply 5 by 6000 aka 30,000 then multiply 7 then to 210,000 please give brainliest

8100 visitors in 7th month.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

given:

Visitor in first month= 6000

If the visitors will increase at the rate of 5% then

Visitors in second month

=6000+  6000 x 5/100

=6000 + 300

=6000

So, the visitors in 7 month

=6000+ 7(300)

=6000 +2100

=8100

Hence, there 8100 visitors in 7th month.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

ax = bc - c solve for x

Answers

Answer:

X = c - b/a

Step-by-step explanation:

Answer:

x=bc/a - c/a

You simplify it like you would any equation, only difference is it does not have numbers.

Find the x-intercept and y-intercept
from the following linear equation:
D x + 4y = -56
x-intercept ([?],[]).
y-intercept (I):[])

Answers

Step-by-step explanation:

x intercept is when y = 0 and y intercept is when x = 0 hence, x intercept is : x = -56 hence (-56, 0) and y intercept is: 4y = -56 y = -14 hence (0, -14)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

WORTH 15 POINTS
⚠️MAKE SURE TO USE SURDS ⚠️
ANSWER ASAP WILL GIVE BRAINLIEST

Answers

Answer:

i got 1.23 don't think its right though so someone check me

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

First thing is you have to do the square root of 3. Which will give you a crazy long decimal but then after you square it, it becomes 3 perfectly.

Perform the following mathematical operation, and report the answer to the correct umber of significant figures 7.125*8.00

Answers

Answer:23☺️

Step-by-step explanation:

Answer:

57.0

Step-by-step explanation:

I got it from a calculator and when I typed it in, it was correct.

Find the area of the triangle.




The area of the triangle is square units.

Answers

Answer: Um, where is your picture to answer to this question? Please show me this picture to answer the question!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please your question is Incomplete please edit the question

what do u call girl giving away 100 points and nothing to do?

Answers

Answer:

i dont know but thanks for the points

Step-by-step explanation:

During the big storm, 29 in. of snow fell in 8 hours. Find the rate of snowfall in inches per hour.

Answers

Answer:

3 5/8 inches of snow per hour

Step-by-step explanation:

29 divided by 8 = 3.625

                             (3 5/8)

if 29 inches for 8 hours, and you need to find how much snow in one hour, you can get 1 hour from 8 hours by doing 8 divided by 8. You  use the same number to find the snow, divide 29 by 8 and you get the rate at which snow builds up.

Hope this wasn’t too confusing ^0^

What would the x and y intercept for the following question? 5x+10y=20

Answers

Answer:

y= 1/2x+2

y int is 2

x int is -2

Step-by-step explanation:

plug in 0 for y int

set the equation equal to 0 for x int

Using the properties of real numbers ,prove that a<b and c<d= a+c<b+d​

Answers

9514 1404 393

Explanation:

  a < b . . . . . given

  0 < b -a . . . . . addition property of inequality

  c < d . . . . . given

  0 < d - c . . . . . addition property of inequality

  0 < (b -a) +(d -c) . . . . addition is closed for positive real numbers

  a +c < b +d . . . . . addition property of inequality

Answer:

hello hope this pic helps

The regular octagon shown is divided into 8 congruent triangles. Each triangle has an area of 2.17 square centimeters. The perimeter of the octagon is 48 centimeters. What is the length of each side of the octagon?

Answers

Answer:

The length of each side of the Octagon is 6 centimeters

Step-by-step explanation:

An Octagon is an 8 sided polygon

The perimeter of the octagon can be obtained by the addition of all the sides of the octagon

Since it is a regular octagon, it means that all the sides are of equal length

Mathematically, what this mean is that the perimeter of the Octagon is simply 8s

where s is the length of the side of the Octagon

Thus, mathematically, the length of each side of the Octagon will be 48/8 = 6 centimeters

Answer:

180 cm2

Step-by-step explanation:

Estimate the area of the figure. Each square represents 2 units^2.

Answers

Answer:

60 units²

Step-by-step explanation:

Approximate area is about 50 units²

The closest option is the last one

Find h(-5) for the function h(x)= -5x+9.
h(-5) =

Answers

Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

PLEASE HELP ASAP 50 POINTS ONLY ANSWER IF YOU ARE 100% SURE IT'S CORRECT
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).
What is the equation of the translated function, g(x), if
f(x) = x2?

A: g(x) = (x + 5)2 + 2
B: g(x) = (x + 2)2 + 5
C: g(x) = (x – 2)2 + 5
D: g(x) = (x – 5)2 + 2

Answers

Answer:

D

Step-by-step explanation:

Option 4.

The vertex form of a parabola is

where, a is a constant (h,k) is the vertex.

The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in the equation.

g(x) is passed through (3, 6).

 Divide both sides by 4.

Substitute a=1 in equation (2).

The function g(x) is g(x) =(x-2)2+5) .

Therefore, the correct option is 4.

hope this helps

Answer:

D

Step-by-step explanation:

Please I’m really confused which one it is please help

Answers

Answer:

The top one on the left

Step-by-step explanation:

Is 46 a number in the sequence generated by 5n + 1

Answers

Answer:

231

Step-by-step explanation:

5.46+1

230+1

231

answer this?

Answer:

yes

Step-by-step explanation:

Equate 5n + 1 and 46 to find n, that is

5n + 1 = 46 ( subtract 1 from both sides )

5n = 45 ( divide both sides by 5 )

n = 9

Thus 46 is the ninth term in the sequence

Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?

Answers

Answer:

Total distance traveled = 200 miles

Step-by-step explanation:

Total time taken for the trip = 4 hours

∴ The trip can be divided into two halves of 2 hours each.

1st half:

speed = 40 miles per hour

distance = speed × time

when time = 2 hours

distance = 40 × 2 = 80 miles

2nd half:

distance = speed × time

speed = 60 miles per hour

time = 2 hours

∴ distance = 60 × 2 = 120 miles

Combined distance traveled = 80 + 120 = 200 miles

help meeeeeeeeee plzzzzzzzzzzzzz

Answers

Answer:

91 x

Step-by-step explanation:

Please answer my question is you know???

Answers

Answer:

8

Step-by-step explanation:

you just need to count the number of squares

Answer:

The area is 8.

Step-by-step explanation:

Count the amount of squares to determine the area. MARK ME BRAINLIEST!!

the graph of a linear equation in two variables is _____?

Answers

Answer:

"a straight line"

Step-by-step explanation:

recall that a linear equation may be expressed as

y = mx + b, where x and y are the variables (i.e 2 variables)

we also know that if we graph the linear equation  y = mx+b, we will get a straight line.

Hence a possible answer for the blank could be:

"a straight line"

What is 3z + 2 when z = 2?

Answers

The value of the given equation is 8.

Given that,

The value of z = 2.

calculation is as follows:

= 3z + 2

= 3(2) + 2

= 6 + 2

= 8

Find out more information about the equation here:https://brainly.com/question/2263981?referrer=searchResults

The answer is "8".

Given:

3z + 2 and z = 2

To find:

value=?

Solution:

Therefore,

[tex]\to 3z + 2 \\\\\because \\\\\to z = 2\\[/tex]

putting the value of z into the above-given equation then:

[tex]\to 3(2)+2\\\\\to 6+2\\\\\to 8[/tex]

The final answer is "8".

Find out more information about solving here:

brainly.com/question/21197151

HELP! 10 POINTS!!!!!!!

Answers

Answer: Graph A

Step-by-step explanation:

SLOPE : rise over run, so from any point, if 3 units go up, 4 units go right, and there should be a another point

Y-INTERCEPT : -3

kenya found that 6 out of 9 students in her class have sports practice today. Based on the results , how many of the 270 students in the school have practice today

Answers

the answer is 180 students would have practice, hope this helps x



How do you write 4,000 in scientific notation

Answers

Answer:

4 x 10^3    

This is the answer now LEAVE ME ALONE PLZ

1.5m^6(-2m^2)^4
find the product​

Answers

the answer is:
24m^14

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Answer:

y=-6x-57

Step-by-step explanation:

point slop form:

y+3=-6 times (x+9)

Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.

Answers

Answer:

30° and 150°

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

Answer:

30 and 150

Step-by-step explanation:

Given

Parallel lines a and b

Transversal c

Angle = 150°

Required

Determine the list of possible angles

A transversal divides a parallel line into two measure which add up to 180°

Given that one of the angles is 150°, the other angle would be 180° - 150°

Other angle = 180° - 150°

Other angle = 30°

Aside 30° and 150°, there's no other possible angle that can be formed by the given information

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