Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.

Answers

Answer 1

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

°°°°°°°°°°°°°°°°°°


Related Questions

Pls help!!!! It is khan academy and I’m giving 15 points!

Answers

The inequality would be in the direction of the arrow
The arrow is <—— so the inequality is <
The circle is colored so -3 in including making it less than or equal
x<-3
_

Or B

PLEASE ANSWER ILL GIVE BRAINLY

Answers

Answer:

Step-by-step explanation:

A

Trinity can run around the perimeter of her school's sports field in 4.75 minutes. It takes Jing 1.2 minutes longer. Alberto can run around the perimeter of the field in 5.9 minutes. Which correctly compares Jing's running time to Alberto's running time?

Answers

We need answer options girl

PLS HELP SHOW ALL UR STEPS AND PLZ DONT GIVE ME A LINK TO FOLLOW IM JUS A LITTLE KID TRYNNA GET THIS RIGHT

Answers

third side =√{30²+16²)=34

sin theta/2=16/34

theta/2=sin-¹(16/34)

theta=28.07×2=56.14

Find the missing side of this right
triangle.
21
Х
15
x=
✓[?]
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Step-by-step explanation:

square of 15 + square of x = square of 21

225 + square of x = 441

441 - 225 = 216

x = 216

a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer

Answers

Answer:

5x6x6

Step-by-step explanation:

5x6x6=180

3x3x20=180

4x5x9=180

[tex]\sqrt[3]{180}[/tex]=5.65

please guys help please

Answers

Answer:

See attachment for plot

Step-by-step explanation:

The attachment has enough information to solve for only question (4).

Solving (4), we have:

[tex]W = (-1,-1)[/tex]

[tex]X = (4,1)[/tex]

[tex]Y = (4,5)[/tex]

[tex]Z =(1,7)[/tex]

Required

Reflect over the x-axis

When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)

i.e.

[tex](x,y) => (x,-y)[/tex]

So, we have:

[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]

[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]

[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]

[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]

So, we plot on a grid, the following points:

[tex]W' =(-1,1)[/tex]

[tex]X' = (4,-1)[/tex]

[tex]Y' =(4,-5)[/tex]

[tex]Z' = (1,-7)[/tex]

See attachment for plot

Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate Value
Theorem guarantees a zero exists between 0 and a?

Answers

Answer:

here the smallest positive no be (0,-14)

Step-by-step explanation:

The computation is shown below:

Here we put the value of x as 0, 1,2, 3

And solve the polynomial

Given that

-4x^2 + 5x + 7

Now

x = 0

So,

= -4(0)^2 + 5(0) + 7

= 0 + 0 + 7

= 7>0

x = 1

= -4(1)^2 + 5(1) + 7

= -4 + 5 + 7

= 8>0

x = 2

= -4(2)^2 + 5(2) + 7

= -16 + 17

= 1>0

x = 3

= -4(3)^2 + 5(3) + 7

= -36 + 15 + 7

= -14>0

So, here the smallest positive no be (0,-14)

Determine the slope and y-intercept of each linear function below y=x/3-1

Answers

Answer:

Slope= 1/3

y-int: -1

Step-by-step explanation:

Simplify:
4n + 6 -(5n+3)
A. -n +3
B. -n +9
C. 9n + 3
D. 9n +9

Answers

Answer:

Answer is A.

-n+3

Step-by-step explanation:

If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.

Answers

Answer:

67

Step-by-step explanation:

4x+3+15x-8=90(complementary angle)

x=5

now D = 15*5-8

d=67

Using order of operations how would you solve (3+4)-9 with an equation!!

Answers

the answer to your question is
(7)-9= -54

18 out of 20 to percentage

Answers

Answer:

90%

Step-by-step explanation:

That would be 90% as it is equivalent to 9/10 or 90/100

A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot

Answers

5 feet and 3 inches, 1 foot=12 inches, 12×5=60+3=63×5=315. so your answer is 315

A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss

Answers

Answer:

D 15

Step-by-step explanation:

[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900

Answers

Answer:

In order to maximize profit, each widget should sell for $26.70.

Step-by-step explanation:

The total amount of profit y given by the selling price of each widget x is given by:

[tex]y=-15x^2+801x-5900[/tex]

And we want to determine the price of each widget such that is yields the maximum profit.

Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.

The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.

Therefore, the price that maximizes profit is:

[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]

Therefore, in order to maximize profit, each widget should sell for $26.70.

Notes:

Then substituting this back into the equation, the maximum profit is:

[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]

Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

Answers

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.
The axis of symmetry will serve as a ladder through the coaster at x = -3.

Solve for x trignometry

Answers

9514 1404 393

Answer:

  23.44

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Tan = Opposite/Adjacent

  tan(38°) = x/30

  x = 30·tan(38°) ≈ 23.4386

  x ≈ 23.44

The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
What is the elevation of the tunnel relative to the ground?

Answers

Answer:

-15 meters.

Step-by-step explanation:

i did it on khan

4 (x + 5)=12 what is x?

Answers

X in the math problem is negative two

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

PLEASE HELP DUE TODAY

Answers

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.

B.
The location of the scuba diver in relation to sea level was feet.

C.
The location of the scuba diver in relation to sea level was feet.

D.
The location of the scuba diver in relation to sea level was feet.

Answers

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?

Answers

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10

Answers

Answer:

c

Step-by-step explanation:

1) Determine the area of the shaded region.
14 ft
8 ft

Answers

Answer:

61.73 ft ^2

Step-by-step explanation:

area of rectangle

14x8 = 112

area of circle

π(4)(4) = 50.27

subtract

112-50.27 = 61.73

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 500x + 5000

Step-by-step explanation:

Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.

Answers

Answer:

Step-by-step explanation:

What is 82 mm? The radius or diameter?

If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².

If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²

Please help 13 points number 3 no links !

Answers

Answer:

H

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]

Answer:

Hi, using L.C.M, It will be option H

In a given survey, 9 people say their favorite color is pink. The number represented 45% of the total people. How many people took the survey?

Answers

Answer:

405

Step-by-step explanation:

1% - 9 people

45% - 9 × 45 = 405 people

Answer:

Step-by-step explanation:

It’s 780 trust

Which equation represents 3/8 less than 7/8 of a number?

A. 3/8 -7/8n

B. 3/8n - 7/8

C. 7/8n-3/8

D. (7/8-3/8)n

Answers

The answer is D
Am sure its D
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