If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
a. 18°
b. 72°
c. 90°
d. 108°

Answers

Answer 1

Answer:

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

Answer 2

Answer:

The answer is 18.

Step-by-step explanation:

90-72=18


Related Questions

[tex]\frac{20}{24}[/tex] = [tex]\frac{x}{48}[/tex]
SOLVE FOR X!

Answers

Answer:

x = 40

Step-by-step explanation:

Set up a proportion.

20/24 = x/48

Divide 48 by 24.

48 / 24 = 2

Multiply 2 by 20.

2 x 20 = 40

x = 40

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

We have:

[tex]\frac{20}{24}=\frac{x}{48}[/tex]

First, we can reduce the left-hand side. Reduce both the numerator and the denominator by 4. Thus:

[tex]\frac{5}{6}=\frac{x}{48}[/tex]

Cross-Multipy:

[tex]6x=240[/tex]

Divide both sides by 6. Hence, the value of x is:

[tex]x=40[/tex]

Karen Gaines invested $13,000 in a money market account with an interest rate of 3.25% compounded Semiannually. Four years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?

Answers

Answer:

$16,380

Step-by-step explanation:

Each container below describes a ratio of marbles.

Drag marbles to each container to match the description.

Answers

Answer:

Step-by-step explanation:

bro that is easy first box will have 4 red 1 blue, second would have 3 reed 2 blue, last one would be 4 blue 1 red


b. The cleaning company charged a total of $83 to clean Peter's house. How many hours did it take to
clean Peter's house?

Answers

Answer:

umm... the question is incomplete!!

answer this if you want to be the brain list master ​

Answers

Answer:

3,240 / 9= 360\

360 boxes

Step-by-step explanation:

Answer:

360 boxes were used.

Step-by-step explanation:

What is the solution of StartRoot 2 x + 4 EndRoot = 16? x = 6 x = 72 x = 126 no solution

Answers

Answer:

x=126

Step-by-step explanation:

C on edge just took the test.

[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given equation

[tex]\sqrt{2x+4}=16[/tex]

Squaring on both sides

[tex](\sqrt{2x+4} )^{2} =16^{2}[/tex]

⇒ [tex]2x+4=256[/tex]

Subtract 4 on both sides.

⇒ [tex]2x +4-4=256-4[/tex]

⇒ [tex]2x = 252[/tex]

⇒ [tex]x =\frac{252}{2}[/tex]

⇒ [tex]x = 126[/tex]

[tex]x = 126[/tex] is the solution for equation [tex]\sqrt{2x+4}=16[/tex].

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Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
The multiplication that takes place while distributing comes before addition and subtraction in order of operations.
In order to combine like terms on one side of the equation, the inverse operation must be used.
When the problem is worked in the correct order, the numbers that Maricella added are not actually like terms.
Maricella did not combine all three constants on both sides of the equation; she combined only two.

Answers

Answer:

its A yo

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The segments shown below could form a triangle.
А
С
B
5
6
В
12
O A. True
O B. False

Answers

Answer:

its false

Step-by-step explanation:

The three line segments cannot form a triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AC = 6 units

The measure of side BC = 5 units

And , the measure of side AB = 12 units

where AC + BC = 11 units

And , AC + BC < AB

So , the triangle cannot be formed when the sum of two sides is less than the third side

Hence , the triangle cannot be formed with 6 , 5 and 12 units of measurements

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A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.

a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents

Answers

Answer:

3 hair colorings and 4 hair cuts

Step-by-step explanation:

The time for haircut is 2 hours and for coloring is 6 hours, haircut needs to make a minimum amount of $150.

What is amount?

Amount is the multiplication of total number of quantities and total price.

Amount= number of quantity×price.

Given that,

The charges of haircut= $15 and time taken for haircut is 30 minutes,

The charges of coloring= $30 and time taken for coloring is 2 hours.

To make minimum $150 profit in 8 hours

Let in a day he spends x hours for haircut, the 8-x hours will be spent for coloring.

2×x×15+1/2×(8-x)×30≤150

30x-15x+120≤150

15x≤30

x≤2

So, x=2 hours(4 haircut),

then time for coloring = 8-2 = 6 hours (3 hair color)

And amount =4×15+3×30=150

So the time for haircut is 2 hours and for coloring is 6 hours.

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plzzzzzz help me thank you :))

Answers

Answer:

1 and 1/4

Step-by-step explanation:

When testing for current in a cable with eleven color-coded wires, the author used
required for every possible pairing of two wires?
meter to test two wires at a time.
The number of tests required is

Answers

Answer:

The number of test required is: 55

Explanation:

Using combination formula:

n!/x!(n-x)!

= 11!/2!(9)!

= 55

Finding missing angles

Answers

Answer:

60

Step-by-step explanation:

The length of a straight line is 180

To find x subtract 180 by 120

180-120=60

8 poin
Question 10. Find the retail sale price of each item below. Round to two
decimal places when necessary. Original price: $119; Markdown: 70 %*
$80.50
$189.00
O $35.70
O $76.90

Answers

Answer:

The correct answer is option C.$35.70

What is the slope of the line on the graph?

Answers

Answer:

mx plus b    

Step-by-step explanation:

the slope is 1 -2

WILL MARK BRAINLIEST! Fill in the blanks. I genuinely need help so please only answer if you know, thank you!

Answers

-3 is the y intercept, and y intercept is -1 and 1

Simplify.
-8 + 13
A. 5
B. -5
C. 21

Answers

Answer:

A.

Step-by-step explanation:

-8+13=5

hope this helps :3

if it did pls mark brainliest

Answer:

A. 5

Step-by-step explanation:

You can rewrite the equation as 13-8

Now that it is simpler you can solve it:

5

Hope this helps!


Edith purchased a stove for $950. It depreciates about 0.7% each year. What is the value of the stove after six years?

Answers

Answer:

i can't figure out out srry

Step-by-step explanation:

it's really hard

Answer:

maybe d

Step-by-step explanation:

#13 If you sleep 32% of the year (12 months), how many months do you spend sleeping? Round your answer to the nearest tenth. *

Answers

Answer:

I think about 3.5 months or its 4 months

Step-by-step explanation:

32% is about 30% and 30% as a decimal is .3  

12 * .3 = 3.6

3.6 rounded to the nearest tenth is 3.5 or 4

Correct me if I'm wrong

frazers scores 75% in a spelling test with 40 questions, how many did he get right?

Answers

Answer:

30

Step-by-step explanation:

25% is 10 and if you multiply that by 3 to get 75% the answer is 30

If you roll a number cube, what is the theoretical probability of rolling an odd number? If the experimental probability of rolling an odd number was 13 out of 20 times, is the experimental probability equal to the theoretical probability?

Answers

Answer:

5/6

Step-by-step explanation:

Which number has an absolute value that is less than 25?​

Answers

Answer:

l-25l

Step-by-step explanation:

Classify the following: 9G-7

Answers

Answer:

Expression

Step-by-step explanation:

its expression

Which algebraic expression represents “the quotient of a number and thirty"?
30 + a
30a
30/a
a/30

Answers

Answer:

a/30

Step-by-step explanation:

quotient means divide

a/30 because "a number" was first in the expression

Answer:

a/30

Step-by-step explanation:

i took the test

[Insert Long, Boring, Smart, Explanation that deserves to be marked as Brainliest, and will be verified after about a year lol]

9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =

Answers

Answer:

HE=11

EF=25

HF=28

DE=25

CH=14

BE=33

Step-by-step explanation:

The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

What is the centroid of a triangle?

The centroid is a point in a triangle where all the three medians of the triangle intersects.

Given that,  H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,

Here, BE, CF and DG are the medians of Δ BDF

We know that,

The centroid divides the medians into two parts always, ratio 2:1

And the medians divide their corresponding sides into two equal parts.

a) HE =

BH/HE = 2/1

Let HE = x, therefore, BH/HE = 22/x = 2/1

HE = 11

b) DE = DF/2 = 50/2 = 25

c) CH = (CF/3)x1 = 42/3 = 14

d) EF = DE = DF/2= 25

e) HF = (CF/3)x2 = 14x2 = 28

f) BE = HE+BH = 22+11 = 33

Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33

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givin: 3x<-9 choose the solution set​

Answers

It’s the second one
Answer: X < -3

Complete the missing value in the solution to the equation:
7 + 5x = =3(y-2)
( ,5)

Answers

Answer:

x = 2/5

Step-by-step explanation:

Given:

7 + 5x = 3(y-2)

Rearrange this equation such that x is expressed in terms of y

7 + 5x = 3(y-2)   (expand right side)

7 + 5x = y(3)-2(3)

7 + 5x = 3y-6   (subtract 7 from both sides)

5x = 3y - 6 - 7

5x = 3y - 13

we are given the y-value of the coordinate pair (? , 5)

simply substitute y=5 into the equation above

5x = 3y - 13

5x = 3(5) - 13

5x = 15 - 13

5x = 2   (divide both sides 5)

x = 2/5

The Verrazano Narrows Bridge has a main span of 3,260 feet. The Akashi Kaikyo Bridge has a main span that is about 54% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?​

Answers

Answer:

Rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.

Step-by-step explanation:

Given that the Verrazano Narrows Bridge has a main span of 3,260 feet, while the Akashi Kaikyo Bridge has a main span that is about 54% longer, to determine the length of the main span of this last bridge, the following calculation must be performed:

3,260 x 1.54 = X

5,020.4 = X

Thus, rounding it to the nearest foot, the length of the main span of the Akashi Kaikyo Bridge is 5,020 feet.

4x- 2y = 8
2x + y =2

Answers

Answer:

x = 3/2 , y = -1

Step-by-step explanation:

I'm assuming that you are being asked to solve the system of equations for x and y.

given:

4x- 2y = 8  ---------------(1)

2x + y =2 -----------------(2)

We can solve this by elimination:

multiple (2) by 2, we get:

2(2x + y) =2(2)

4x + 2y = 4 ------------(3)

(1) + (3) , we get:

(4x- 2y) - (4x + 2y) = 8 + 4

8x = 12   (divide both sides by 8)

x = 12/8

x = 3/2   answer, substitute this into (2)  

2(3/2) + y =2

3 + y = 2  (subtract 3 from both sides)

y = 2 - 3

y = -1  answer

If f(x)=4x+5 what is f(4)

Answers

Answer:

Step-by-step explanation:

f(4) = 4(4) + 5

f4= 16 + 5

f4= 21

f = 21/4

f= 5.25

I am so lost an I can't fail this class ​

Answers

11. They are congruent because off of the sides and angles are congruent on both of the polygons which means they are congruent
12. They are congruent because of SAS (Side Angle Side) because segment WX is congruent to segment YZ and angle x is congruent to angle Z and segment XY is congruent to segment ZW
13. Angle 1 = 20° before 180 - 90 - 70 = 20
14. Angle 1 = 55° because 180 -80 - 45 = 55 the angles are congruent in both triangles so you can use the known numbers of one triangle to figure out the other

I hope this helps!
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