The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the

larger angle is 1:3. Find the measure of the larger angle.

Answers

Answer 1

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°


Related Questions

X/-5=1.2

Solve the equation for the value of the equation for the value of the variable show all work please and thanks :):)

Answers

well u can transfer the -5 in denominator to the right hand side

so x=1.2*(-5)

x=-6.0

PLEASE HELP ME I AM SO CONFUSED!!

Answers

A. Isosceles, Not right



If 4x+3x-2(x+5)=-9 then x=?

Answers

Answer:

X=1/5

Step-by-step explanation:

7×-2×-10=-9

5×=-9 +10

5×/5=1/5

×=1/5

Find the slope between the points (6,10) and (4, -2)

Answers

Answer:

The slope is 6/1 or 6

Step-by-step explanation:

Simon says that to find the area of a trapezoid, you can multiply the height by the top base and the height by the bottom base. Then add the two products together and divide the sum by 2. Is Simon correct? Complete the explanation.

Answers

Answer:

Yes, Simon is correct.

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

[tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1}h + b_{2}h) [/tex]

[tex] Area \; of \; trapezoid = \frac {b_{1}h + b_{2}h}{2} [/tex]

Hence, to find the area of a trapezoid, you will multiply the height by the top base and the height by the bottom base. Then you add the two products together and divide the sum by 2.

Answers

A. 10
B. 5
D. 15
C. 20

Answers

Answer:

D: 15

Step-by-step explanation:

Ok, by looking at the first equation, you know that one triangle equals 10. By looking at the second one, you see that two circles equal 10, since 20- triangle(10) equals 10. This means a circle has to equal 5. looking at the third one, the answer is 13, and a circle is 5, so 13-5=8. Two squares equal 8. the last one shows one triangle, one circle, and a half square. From the third one, you know that one square equals 4, so a half square equals two. I do not know why this logic doesn't match with the answers, since 10(triangle) plus 5(circle) and 2(half square) is 17, but in terms of what makes sense and just matching it with the answers provided, I say go with the third option.  

The surface area of the pyramid is

square inches.
fill in the blank

Answers

Answer:

9360 square inches

Step-by-step explanation:

one band was paid $14000 for a concert​

Answers

Answer:

cool, but what is the question?

The Blackburn family has a square field where they keep their cattle. The area of the field is 40,000 ft2, and Mr. Blackburn wants to put a fence diagonally through the field. What should the length of the fence be? *


282.8 feet
4,000 feet
782.6 feet
8,000 feet

Answers

Answer:

Length of the fence will be = 282.84 feet

Step-by-step explanation:

The Blackburn family has a square field to keep their cattle. Area of the field is $40000 square feet.
Then one side of the square field will be = √Area = √40000 = 200 feet
Since diagonal of a square is = √2(side)² = side√2 = 200√2 = 200×1.41 = 282.84 feet.

Therefore length of the fence will be = 282.84 ft.

Regi has £9 in her purse.

She spends a £5 note and gets £3 back in change.

How much is in Regi's purse now?

Answers

She has 6£ left since 9-3=6

Answer:

7 hope this helps

Step-by-step explanation:

9 - 5 = 4 + 3 = 7

Lori tosses a ball into the air. The equation y = –16(x – 1)^2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft

Answers

Answer:

25 ft

Step-by-step explanation:

Got it right on EDG2020

The ball will reach the maximum height in a second. Then the maximum height the ball reaches will be 25 ft.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

Lori tosses a ball into the air. The equation models the height, y, in feet, of the ball after x seconds.

[tex]\rm y = -16(x - 1)^2 + 25[/tex]

Differentiate the equation with respect to x, then we have

[tex]\begin{aligned} y' &= 0\\\\\dfrac{d}{dx}[-16(x - 1)^2 + 25] &= 0\\\\ -32(x-1) &= 0\\\\x &= 1 \end{aligned}[/tex]

Then the maximum height the ball reaches will be

[tex]\rm y = -16(1 - 1)^2 + 25\\\\y = -16*0^2 + 25\\\\y = 25[/tex]

Then the maximum height the ball reaches will be 25 ft.

More about the differentiation link is given below.

https://brainly.com/question/24062595

#SPJ2

An angle θ on the unit circle has a sine of 14. What is the value of cosθ?

Answers

Given:

An angle θ on the unit circle has a sine of [tex]\dfrac{1}{4}[/tex].

To find:

The value of cosθ.

Solution:

We have,

[tex]\sin \theta=\dfrac{1}{4}[/tex]

Since sinθ is positive, therefore, θ lies in first or second quadrant.

We know that,

[tex]\sin^2 \theta +\cos^2 \theta =1[/tex]

[tex](\dfrac{1}{4})^2+\cos^2 \theta =1[/tex]

[tex]\dfrac{1}{16}+\cos^2 \theta =1[/tex]

[tex]\cos^2 \theta =1-\dfrac{1}{16}[/tex]

Taking square root on both sides.

[tex]\cos \theta =\pm \sqrt{\dfrac{16-1}{16}}[/tex]

[tex]\cos \theta =\pm \dfrac{\sqrt{15}}{4}[/tex]

Therefore, the value of cosθ is either [tex]\dfrac{\sqrt{15}}{4}[/tex] or [tex]-\dfrac{\sqrt{15}}{4}[/tex].

Can someone please help me and thank you

Answers

9514 1404 393

Answer:

  325 cm³

Step-by-step explanation:

The volume is the product of the dimensions shown.

  V = LWH

  V = (13 cm)(5 cm)(5 cm) = 325 cm³

A line passes through the point 2,1 and has a slope of -3/5. Write an equation for this line

Answers

Answer:

y = -3/5x + 1.3

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

First, let's substitute in the values.

Point: (2, 1)

Slope: -3/5

y = mx + b

(1) = (-3/5)(2) + b

1 = -0.3 + b

1 + 0.3 = -0.3 + b + 0.3

b = 1.3

Now, let's add the slope and y-intercept to the equation.

y = mx + b

m = -3/5

b = 1.3

y = -3/5x + 1.3

Hope this helped! <3

In a research lab, a cell biologist is growing a strain of bacteria under two different conditions. Culture A had an initial population of 200 and doubles every hour. Culture B had an initial population of 819200 but has been contaminated. Its population is now decreasing by half every hour. When will the two cultures have an equivalent population? Solve using an exponential equation.

Answers

Answer:

They will have the same population after 6 hours

Step-by-step explanation:

The general exponential equation format for this is;

P = P_o(e^(kt))

For Culture A, we are told that it had an initial population of 200 and doubles every hour.

Thus;

After 1 hour, P = 400

After 2 hours, P = 800

After 3 hours, P = 1600

Thus;

At t = 1, we have;

400 = 200(e^(k × 1))

400/200 = e^(k)

e^(k) = 2 - - - (eq 1)

At t = 2, we have;

800 = 200(e^(k × 2))

800/200 = e^(2k)

e^(2k) = 4 - - - (eq 2)

To find k, let's divide eq 1 by eq 2.

(e^(2k))/e^(k) = 4/2

e^(2k - k) = 2

e^(k) = 2

k = In 2

k = 0.6931

Thus;

P = 200e^(0.6931t)

For Culture B, we are told that it had an initial population of 819200 but has been contaminated. Its population is now decreasing by half every hour.

Thus;

After 1 hour, P = 409600

After 2 hours, P = 204800

After 3 hours, P = 102400

Thus;

At t = 1, we have;

409600 = 819200(e^(k × 1))

409600/819200 = e^(k)

e^(k) = 0.5 - - - (eq 1)

At t = 2, we have;

204800 = 819200(e^(k × 2))

204800/819200 = e^(2k)

e^(2k) = 0.25 - - - (eq 2)

To find k, let's divide eq 1 by eq 2.

(e^(2k))/e^(k) = 0.25/0.5

e^(k) = 0.5

k = In 0.5

k = -0.6931

Thus;

P = 819200(e^(-0.6931t))

We want to find the time when the 2 cultures will have the same population. Thus;

200e^(0.6931t) = 819200(e^(-0.6931t))

Arranging, we have;

(e^(0.6931t))/(e^(-0.6931t)) = 819200/200

e^(0.6931t - (-0.6931t) = 4096

e^(1.3862t) = 4096

1.3862t = In 4096

1.3862t = 8.3178

t = 8.3178/1.3862

t ≈ 6 hours

On Monday, the high was 60 degrees Fahrenheit in the Capitol. On Tuesday, the high was 18% more. What was the temperature on Tuesday?

Answers

Answer: 78 degrees

Step-by-step explanation:

Which equation represents the standard form for linear equations?
A y= 5x – 2
B. 3x – 5 = 2y
C. 1/2x+ 2y = 7
D. 5x– 4y = 20

Answers

Answer:

Ax + By = C the answer is C 1/2x+2y=7

Step-by-step explanation:

12+90+x=180 I need help fast

Answers

Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

hey, help me ASAP please :)​

Answers

Answer:

because of vertical angles, 108

Step-by-step explanation:

Answer:

108 degrees

Step-by-step explanation:

Opposite angles are equal.

Thus, x = 108 degrees.

Please help me with this homework

Answers

Answer:

linear

non-linear

Step-by-step explanation:

Tommy thought of a number. He multiplied the number 4, then added six. The result was fifty. What was Tommy's starting number?

Answers

Answer:

Was number 11

Step-by-step explanation:

50 - 6 = 44

44 dividid 4 is 11

What is the range of function g?

Answers

Answer:

c

Step-by-step explanation:

but if C is incorrect i believe your second choice should be D

what is beter,
10 Pens for $8.99.
or

25 Pens for $19.75.

Answers

Answer:

the 2 one is better because you get more pens

Step-by-step explanation:

you get more pens

A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs ​$34 and each pair of sweatpants costs ​$15. Write an algebraic expression to represent the total cost if want sweatshirts and y players want sweatpants.

Answers

Answer:

34+15y

Step-by-step explanation:

Let x players want a sweatshirt and y players want sweatpants.

Each sweatshirt costs ​$34 and each pair of sweatpants costs ​$15.

Cost of sweatshirt = 34x

Cost of sweatpants = 15y

Total cost = cost of sweatshirt + cost of sweatpants

= 34x+15y

Hence, the total cost is "34x+15y".

What is the value of x for the equation 4x – 2y = 6 if y= -3?

Answers

Answer:

x = 0

Step-by-step explanation:

Let's divid both sides of the equation by 2 first, so we don't have as much work to do in the next step:

[tex]4x-2y=6\\2x-y=3[/tex]

Substituting -3 for y:

[tex]2x-(-3)=3\\2x+3=3\\2x=0\\x=0[/tex]

evaluate the limit of
[tex] \sqrt{x - 1} [/tex]
approaches to
[tex] {1}^{ - } [/tex]

Answers

Answer:

sorry homie im bad at math but download conects

Step-by-step explanation:

i just cheat my way through life

given a-2b=8, 4a+3b= 21; prove b= -1

please give a step by step answer

Answers

hope this helps!

let me know if you have any questions

For the system of the equation given we have proven that b = -1.

Given that,
a - 2b = 8
4a + 3b = 21
To prove b= -1

What is the equation?

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
a - 2b = 8  - - - - - - - (1)
4a + 3b= 21 - - - -- - - (2)
From equation 1
a = 8 + 2b
put a in equation 2
4 (8 + 2b) + 3b = 21
32 + 8b + 3b = 21
11b = 21 - 32
11b = -11
b = -1
Hence proved.

Thus, for the system of the equation given, we have proven that b = -1.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2


enter a negative number that is greater than -10

Answers

Answer:

-9

Step-by-step explanation:

Can I have brainliest?

Also can you please thank me, it'll be gratefully appreciative.

:)

What is 70 percent of30

Answers

The answer should 21 because a hack I learned in elementary school was if you just multiply the 7 and the 3 you’ll get your answer and I made sure someone check it and it’s right!!!

I hope this helps!!!
The answer is 21

70 percent *30 =

( 70/100)*30 =

( 70*30)/100 =

2100/100 = 21

Solve the inequality: I will give brainliest. Explain in detail please!

p/8 ≥ -5

A.) p ≥ 40
B.) p ≥ 40
C.) p ≥ -13
D.) p ≥ -40

Answers

Answer:

plz give me BRAINLIEST

Step-by-step explanation:

c. p >-13

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