The measure of the complement of an angle is 40 less than the measure of the supplement of the angle. Find the measure of the angle.

Answers

Answer 1

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.


Related Questions

What is the recursive rule?

Question 2 options:

an = an+1 + 500; a1 = 30,000

an = an−1 + 30,000; a1 = 500

an = an−1 + 500; a1 = 29,500

an = an−1 + 500; a1 = 30,000

Answers

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

How to determine the recursive formula?

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

First term, a1 = 30000Common difference, d = 500

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

Read more about arithmetic sequence at:

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If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!

Answers

-3,-2 is the answer because of them are near

A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.

Which function models the value of the vehicle in dollars x years after its purchase?


f(x)=1.085(25,399)x

f(x)=0.915(25,399)x

f(x)=25,399(0.915)x

f(x)=25,399(1.085)x

Answers

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Percentage Decrease

Given Data

Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearly

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

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need some help I'm stuck on this question in the image

thank you​

Answers

A=2
B=5
C=3


I think this is the right answer

(a+3b)(2c+d+4e) simplify​

Answers

Answer:

2ac + ad + 4ea + 6bc + 3bd + 12be (Simplified)

this question is too hard

Answers

Answer:270

Step-by-step explanation:180/2=90

90*3=270

Hope this helps :)

Answer:

270

Step-by-step explanation:

You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270

If you help I’ll give brainlist thing pleaseeee

Answers

Answer:

a. y = 10

b. x = 5 - (5y/2)

c. y = 6x - 11

Step-by-step explanation:

a.

2(y - 3) = 4

2y - 6 = 4

2y = 10

y = 5

b.

2x + 5y = 10

2x = 10 - 5y

x = 5 - (5y/2)

c.

6x + 3y = 4y + 11

6x = y + 11

y = 6x - 11

d.

I don't know this one, sorry.

a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

Answers

Answer:

As per Provided Information

Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]

On substituting the value we obtain

[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]

Therefore,

Length of the rectangle is 6 inches .

A group of friends is going ice skating. The price of admission is $3.25. As a group, they spent $14 on refreshments. If they spent a total of $30.25 on refreshments, how many friends went ice skating

Answers

5 friends went ice skating

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer(s):Range: 7Mode: 2Step-by step explanation:

Given data:

1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 8

1. Determining the range of the line plot:

To determine the range of the data, we need to subtract the biggest value of the data (8) from the smallest value of the data (1).

⇒ Range of a data: Biggest number - Smallest number⇒ Range of a data: 8 - 1⇒ Range of a data: 7

Thus, 7 is the range.

2. Determining the mode of the line plot:

The mode of the data is the digit that has repeated the most. In this case, the digit "2" has repeated five times and has repeated the most.

Henceforth, "2" is the mode.

Learn more about range and modes:

https://brainly.com/question/1225785https://brainly.com/question/25775375

Answer:

Range = 7

Mode = 2

Step-by-step explanation:

Question (a)

Range = Highest value - Lowest value

           = 8 - 1

           = 7

Question (b)

The mode is the most common value that appears in the data.

From inspection of the line plot, we can see that 2 is the most common value (the value that appears the most in the data set).

Your friend leaves your house. She later calls you on her cell phone, saying that she's been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?

Answers

Answer: 1hr

Step-by-step explanation: Distance = speed × time

Time = Distance / Speed = 60/60

Select the two expressions that equivalent to 4 + w + 12w
A. 4+13w
B. 13w2 + 4
C. 2(2+6w)+w
D. 16 + 2w
W. 2(2+6w2)

Answers

Answer:

A and C :)

Have an amazing day!!

Please rate and mark brainliest!!

solve for x -3(x + 5) = -9

Answers

Answer:

[tex]\tt x=-2[/tex]

Step-by-step explanation:

[tex]\tt -3(x + 5) = -9[/tex]

Step (1) :- Distribute

[tex]\tt -3x-15=-9[/tex]

Step (2) :- Add 15 to both sides

[tex]\tt -3x-15+15=-9+15[/tex]

Step (3) :- Simplify

[tex]\tt -3x=6[/tex]

Step (4) :- Divide both sides by -3:-

[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]

[tex]\tt x=-2\;\; \bf Answer[/tex]

____

Answer:

[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]

Solution:

Let's solve the given problem step by step :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

First, distribute the given problem :

[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]

[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]

Add 15 to both sides :

[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]

[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]

On simplifying :

[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]

[tex] \sf:\implies \quad - 3x = 6[/tex]

Dividing both sides with same factor :

[tex] \sf:\implies \quad - 3x = 6[/tex]

[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]

[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]

Spencer cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 27 inches. How long is each side of the original square cake?Solve on paper.Each side of the original square cake is 9 in. What is the area of the original square cake?

Answers

Answer:

81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81

Are the triangles similar? If so, how do you know?

Answers

The triangles are similar because the one on the left is just twice as big as the one on the right.


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What types of angles are in each of these quadrilaterals?

Answers

Answer:

all the quadrilaterals have acute angles!

A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?

Answers

Answer: 18 nine piece cartons
27 six piece cartons
Explanation:you would divide 162 by each number

Find the surface area of the shape

Answers

Answer:

7.888.9999999.758375848

Step-by-step explanation:

yes, yes this is the answer

The width of a rectangle with area 55in^2 depends on its length. write the formula that describes the width of the rectangle as a function of its length.
(screenshot attached if you need to see the problem better)

Answers

The formula that describes the width of the rectangle as a function of length is w = 55 / m.

How to find area of a rectangle?

area of a rectangle = lw

where

l = lengthw = width

Therefore,

area = 55 inches²

length = m

width = w

Hence,

area = mw

55 = mw

divide both sides by m

55 / m = wm / m

w = 55 / m

learn more on rectangles here: https://brainly.com/question/26306126

Find the error in the calculations below, if there is one:
Line (1): -5 ≤ 2x +7<9
Line (2):-12 ≤ 2x < 2
Line (3): -6 ≤ x < 1
Line (4):
-6
1
The error ocurred from Line (1) to Line (2).
O The error ocurred from Line (3) to Line (4).
There are no errors.
O The error ocurred from Line (2) to Line (3).

Answers

There are no errors.

Calculate the surface area of the object above.

Answers

Answer: 112
SA is the area of all the faces added together so you would do
2(8x4) + 2(2x4) + 2(8x2) = 112

answer needed please

Answers

Answer:

the top answer should be stretched

Here’s one of the answer options

Answers

Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)

Step-by-step explanation:

7x^2 - 28x + 7y^2 + 42y - 35 = 0

divide 7 out

x^2 - 4x + y^2 + 6y - 5 = 0

add 5 to other side

x^2 - 4x + y^2 + 6y = 5

solve by completing the square

take b values divide them by 2  square and add to both sides

-4/2 = -2

-2^2 = 4

6/2 = 3

3^2 = 9

X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5

(x - 2)^2 + (y + 3)^2 = 18

(x - k)^2 + (y - h)^2 = r^2

r^2 = 18

r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))

center of circle = (2,-3)

X-3y-7=0. 3x-3y-15=0 elimination method

Answers

Answer:

X=−8+3x

y=−5+x

Step-by-step explanation:

Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?

Clearly show your work.

Answers

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Answer:

0.15 as a fraction in simplest form is 3/20.

Step-by-step explanation:

0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.

Apples cost $1.99 per pound how much do 3 1/4 pounds of apples cost

Answers

1.99/1 pound = x/3.25 pound
(3 1/4 =3.25)

Cross multiply
X=(1.99)(3.25)=$6.47

Answer:

6.47

Step-by-step explanation:

1.99/1 lb= x/3.25lb

3 1/4=3.25

Cross multiply

X=(1.99)(3.25)=6.47

Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters

Answers

Step-by-step explanation:

From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.

Bert and his sister are 4 meters apart.

Welcome to the brainiest championship answer the question and you win a brainiest.

Answers

Answer:

d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Find the slope and y intercept

Answers

Answer:

find the angle of the 90 and divide by 5

Step-by-step explanation:

All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. a Find the smallest dropdown number.

Answers

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

How to determine the smallest dropdown number?

From the question, we have the following parameters:

The dropdown number is 4-digitThe digits are different.

We start counting from 1023, 1024, 1025, 1026...........

The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

Read more about combination at:

https://brainly.com/question/11732255

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