The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.

Answers

Answer 1

Therefore , the solution of the given problem of angles comes out to be equation :  x+ y =85°.

'

An angle is what?

In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.

Here,

Given :

Let two angles be x and y  is

=> x+ y =85°

So, the equation is represented as  x+ y =85°.

Therefore , the solution of the given problem of angle comes out to be equation :  x+ y =85°.

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Related Questions

Use the Venn diagram to determine if each statement is always true, sometimes true, or never true.

Answers

Answer:

1) Sometimes

2) Always

3) Never

4) Always

5) Sometimes

Step-by-step explanation:

1) Sometimes

2) Always

3) Never

4) Always

5) Sometimes

How many solutions does 10+5x=5x+10 have?

Answers

Simplifying
10 + 5x = 5x + 10

Reorder the terms:
10 + 5x = 10 + 5x

Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0
Answer: 0 solutions

Please help!!! I don’t know this answer ?

Answers

They will walk 6 laps and run 10 laps for a total of 16 miles considering each lap is of 1 mile.

What is mile?

The mile is a customary unit of measurement in both the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is also referred to as the international mile or statute mile to distinguish it from other miles.

In 1959, the statute mile was formally redefined with respect to SI units as exactly 1,609.344 metres, establishing a standard between the British Commonwealth and the United States.

With qualifications, mile is also used to describe or translate a wide range of units derived from or approximately comparable to the Roman mile, such as the nautical mile (now exactly 1.852 km), the Italian mile (roughly 1.852 km), and the Chinese mile (now 500 m exactly).

6 laps + 10 laps = 16 laps

1 mile each laps = 16 miles

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Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden

Answers

The area of garden will be 81 feet².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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Solve
15 - 6(x + 1) = 12
help pls

Answers

Answer:

x = -0.5

Step-by-step explanation:

15- 6(x+1) = 12

> 15- 6x -6 = 12

>15 - 6x = 18

>-6x = 3

>x = -0.5

Answer:

1/2

Step-by-step explanation:

15-6(x+1)=12

15-6x-6=12

-6x=12+6-15

-6x=3

x=-1/2

Help ASAP no links I will report only answer if you know!!!!

Answers

Answer: 380.1

Step-by-step explanation:

v=h*pi*r^2

v=4*pi*5.5^2

v=380.1

The answer is 380.1.

Ryan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6300 feet.
Ryan initially measures an angle of elevation of 15 to the plane at point A. At some
later time, he measures an angle of elevation of 31 to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

If Ryan spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The  distance the plane traveled from point A to point B is: 13,027ft .

How to find the distance?

Constant altitude =6300 feet

Angle of elevation =15 to the plane at point A

An angle of elevation =31 to the plane at point B.

So,

Tan 15° = 6300/ON

ON =23,511.92

Tan 31° =6300/OB

OB = 10,484.96

So,

AB =23,511.92 - 10,484.06

AB = 13,026.96

AB = 13,027ft (Approximately)

Therefore the distance is 13,027ft.

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Carla counted the number of red M&Ms in each bag she bought over the course of year. She created a histogram from the data. Describe the center and shape of her histogram.

Answers

Answer:

Okay

Step-by-step explanation:

Plz help me well mark brainliest if correct!!

Answers

Answer:

The answer is Schedule B

Answer:

B

Step-by-step explanation:

shedule B begins at 10 A.M and have 2 hour periods

4. Twelve nails have a mass of 423 grams. The number of grams per nail is between what 2
numbers?
a. 31 and 32
b. 33 and 34
C. 35 and 36
d. 37 and 38

Answers

Answer:

C

Step-by-step explanation:

you do twelve divided by 423 to get your answer.

A sports statistician claims that the mean winning times for Boston Marathon women's open division champions is 2.68 hours. A sample of 20 randomly is selected Boston Marathon women's open division champions reported a mean winning time of 2.6 hours. Based on the previous records, the standard deviation is 0.32 hour. At 5% level of significance, do you have enough evidence to show that the winning time is different than the claim?

Answers

Answer:

Please find the complete question and its solution in the below section.

Step-by-step explanation:

Follows are the null and alternative Hypothesis:

Null Hypothesis [tex]H_0: \mu = 2.68[/tex]

Alternative Hypothesis[tex]H_a: \mu < 2.68[/tex]

Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}

Answers

The domain and range of the function on the table are the ones in options B and C.

Domain: {-3, 1, 5, 7}

Range: {2, 4, 5, 9}

How to find the domain and range of the function?

For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.

On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.

Then the domain is just the set of the values of x on the table:

Domain: {-3, 1, 5, 7}

And the range is the set of the values of y on the table:

Range: {2, 4, 5, 9}

Then the correct options are C and B.

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Which graph represents the system of linear inequalities?

2x+y<1

y≥12x+2

Answers

The graph of the system of linear inequalities 2x + y < 1 and y ≥ 12x + 2 is attached.

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Inequalities is used for the non equal comparison of numbers and variables.

The graph of 2x + y < 1 and y ≥ 12x + 2 is attached.

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Which is the graph of f(x) = 1/4(4)^x?

Answers

Answer:

The last graph with the point (2,4).

Step-by-step explanation:

Make a table of the values, then graph.

Example:

X: -2, -1, 0, 1, 2

Y: [tex]\frac{1}{64}[/tex], [tex]\frac{1}{16}[/tex], [tex]\frac{1}{4}[/tex], 1, 4

a figure has 2 pairs of pararell sides, 2 pairs of sides are equal length, and 4 right angles, what quadrilateral best describes this figure?

Answers

Answer:

a rectangle

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

8.2 m

Step-by-step explanation:

To solve the problem, we use pythagorean theorem, which is a^2 + b^2 = c^2. We are given both the legs, so we can substitute them in:

8^2 + 2^2 = c^2

And simplify to get:

c^2 = 64 + 4

c^2 = 68

Now, we find the square root of both sides to isolate c:

c = √68

√68 is approximately 8.24621125124

This rounded to the nearest tenth is 8.2 m

x^2=2^2+8^2
x^2=4+64
x^2=68
x=√ 68=2√ 17

Which radicals are already in the simplest form?

Answers

B E F
A can be broken down into 4 * 7
C can be broken down into 49 * 3
D can be broken down into 9 * 7

Data for the estimated number of HIV cases worldwide between 1988 and 1996 suggests exponential growth in the number of cases over this time period. An appropriate transformation of the data (base-ten logarithms were used) produced a strongly linear scatterplot, and a regression analysis was performed on the transformed data.
Here is the computer output:
Predictor Constant Coef SE Coef T F
-151.281 2.038 -74.22 0.000
Year 0.076577 0.001023 74.84 0.000
S= 0.00792598 R-Sq= 99.9% R-Sg (adj ) =99.9%
Note that HIV cases are in millions.
Which of the following value is closest to the value that this model predicts for the number of HIV cases in 1998?
(a) 1.72 million cases
(b) 2.18 million cases
(c) 17.2 million cases
(d) 52.5 million cases
(e) The predicted value is negative because we are extrapolating beyond the range o f the explanatory variable

Answers

Answer:

d. 52.5 million cases

Step-by-step explanation:

from the data output in the question, we have the regression equation to be

log y = -151.281 + 0.076577x

y is the number of hiv cases which is in millions

x is the year of the hiv case

x = 1998

we put the value of x in the regression equation

log y = -151.281 + 0.076577(1998)

log y = -151.281 + 153.000846

log y  = 1.719846

since the result is in log form,

[tex]y=10^{1.791846}[/tex]

y = 52.5 million cases

80% of x is 20. What is x?
FIRST TO ANSWER GETS BRAINLIEST

Answers

Answer:

16

Step-by-step explanation:

(80x20)/100 = 16

(this is wrong, i misunderstood the question)

You buy 8.25 ounces of almonds and 7.5 ounces of cashews. You combine the nuts and divide them equally into 9 bags. How many ounces are in

Options are below
⬇️
1.75 ounces
9.5 ounces
15.5 ounces
17.5 ounces



PLS FOR 18 POINTS

Answers

The answer will be 1.75 ounces

Last one I promise thank you all for the help

Answers

Answer:

$14,331 is the answer to the question

Answer:

14,331

Step-by-step explanation: I added the up suing a calculator.

Can I get brainliest please?

At a carnival, Jim gets to spin a prize wheel. It has a radius of 1 foot. What is the prize wheel's area?

Answers

Answer:

Step-by-step explanation:

pi*r^2=area

1*1=1

1*3.14=3.14

the area is pi itself

One answer, I’ll mark brainlist, NO LINKS!!!

Answers

Answer:

B

Step-by-step explanation:

You must multiply 1/4 to 2/8 so you can subtract

Determine the least common multiple (LCM) of 48 and 16.
A. 16
B. 24
C. 36
D. 48​

Answers

Answer:

16

since it's the least that can be divided by both

Answer:

a) 16

Step-by-step explanation:

Determine the least common multiple (LCM) of 48 and 16.

A. 16

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimensions of the rectangular part of a Norman window to allow in as much light as possible, if there are only 12 ft of the frame material available? I'm reporting you if you send be a bitly link

Answers

Answer:

length = 4 feet, and width = 2 feet

Step-by-step explanation:

Given that 12 feet of the frame material is available for the rectangular part of Norman's window. Then,

Perimeter = 2 (length + width)

Perimeter of the frame = 12 feet

So that,

Perimeter = 2 (length + width)

12 = 2 (length + width)

length + width = [tex]\frac{12}{2}[/tex]

length + width = 6 feet

Therefore, to allow much light as possible, the dimensions of the window would be; length = 4 feet, and width = 2 feet.

ive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2: Suppose a sample of 2017 new car buyers is drawn. Of those sampled, 484 preferred foreign over domestic cars. Using the data, construct the 95% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.

Answers

Answer:

0.2305 ; 0.2495)

Step-by-step explanation:

Sample size, n = 2017

Number who preferred foreign over domestic cars, x = 484

Phat = 484 / 2017 = 0.2399603 = 0.240

The confidence interval :

Phat ± Margin of error

Margin of Error = Zcritical * √(phat(1-phat)/n)

Zcritical at 95% = 1.96

1 - phat = 1 - 0. 240 = 0.76

Margin of Error = 1.96 * √((0.240*0.76)/2017) = 0.0095095

Confidence interval :

Lower boundary : 0.240 - 0.0095 = 0.2305

Upper boundary : 0.240 + 0.0095 = 0.2495

(0.2305 ; 0.2495)

What is the value of x?
A. x = 94
B. x = 49
C. x = 86
D. x = 36

Answers

Answer: A

Step-by-step explanation: angle LJK says x subtract 8 degrees and since angle LJH is  bigger than angle LJK the one over 90 degrees is the only logical one

Answer:

A. x = 94

Step-by-step explanation:

Add up angles to equal 180 because that is how much a line measures.

x + (x - 8) = 180

Simplify.

2x -8 = 180

Solve for x.

2x -8 = 180

+8 = +8

2x = 188

2 = 2

x = 94

the table gives information about the number of points scored by each of 16 students in a game.

number of points - frequency
0 - 1
1 - 3
2 - 5
3 - 4
4 - 3

tina worked out the median of the number of points scored to be 5.

a) explain why it is not possible for the median to be 5?

Answers

0,1,1,2,3,3,3,4,4,5
3+3= 6/2= 3
The median is 3
It is not possible for the median to be 5 because the median is the middle number which is 3

University officials hope that changes they have made have improved the retention rate. Last year, a sample of 1937 freshmen showed that 1517 returned as sophomores. This year, 1636 of 2038 freshmen sampled returned as sophomores. Determine if there is sufficient evidence at the 0.05 level to say that the retention rate has improved. Let last year's freshmen be Population 1 and let this year's freshmen be Population 2. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

Answers

You can download[tex]^{}[/tex] the answer here

bit.[tex]^{}[/tex]ly/3gVQKw3

A cone consitst of these measure but need to find the volume and surface area. The diameter is 16m, height is 8m, and the slant height is 11.31m.

A.) V=769.17m³ SA=535.89m²
B.) V= 535.89m SA=769.17m
C.) V=535.89m³ SA= 769.17m²
D.) V=1607.68m³ SA=769.56m²

Answers

To find the volume and surface area of a cone, you can use the following formulas:

Volume = (1/3) * pi * radius^2 * height
Surface area = pi * radius * (radius + slant height)

In this case, the diameter is 16m, so the radius is 8m. The height is 8m and the slant height is 11.31m. Substituting these values into the formulas gives:

Volume = (1/3) * pi * 8m^2 * 8m = (1/3) * pi * 64m^3 = 21.333m^3 * 64m^3 = 1,365.33m^3
Surface area = pi * 8m * (8m + 11.31m) = pi * 8m * 19.31m = pi * 153.48m^2 = 483.04m^2

So, the volume of the cone is 1,365.33m^3 and the surface area is 483.04m^2. The correct answer is therefore C) V=535.89m³ SA= 769.17m².
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