What is the missing angle measurement

We want to see if the given statement is true or false.

We will prove that the statement is false.

The statement is:

" If one of the legs in a right triangle is half of the hypotenuse, then the angle opposite to that leg is 60 degrees."

We can use the rule:

Sin(θ) = (opposite cathetus)/(hypotenuse).

Let's define:

hypotenuse = H

opposite cathetus = H/2

Let's see if the given angle is equal to 60°, we will have:

Sin(θ) = (H/2)/H = 1/2

θ = Asin(1/2) = 30°

So we can see that the statement is false.

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Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

Answer:

22-17

Step-by-step explanation: the sequence is going by -5

Answer:

[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]

9514 1404 393

Answer:

  Definition of midpoint

Step-by-step explanation:

The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...

  Definition of midpoint

__

A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.

Answer:

71 degrees

Step-by-step explanation:

It is quite hard to see the question but I believe we are looking for the unknown angle E (correct me if I am wrong and I will revise my answer!)

Answer:

y = -1/3x + 5

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that if you multiply the slopes of both linear equations, the product will be -1.

Given the linear equation, y = 3x - 2, and the point (0, 5):

The negative reciprocal of the slope (m) = 3 is -1/3. Hence, we can assume that the slope of the other line must be -1/3.

Next, using the slope of the other line (m = -1/3) and the given point, (0, 5), we'll substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept (b):

y = mx + b

5 = -1/3(0) + b

5 = 0 + b

5 = b

The y-intercept (b) of the other line is 5.

Therefore, the linear equation of the line perpendicular to y = 3x - 2 is:

y = -1/3x + 5

Please mark my answers as the Brainliest if you find my explanations helpful :)

Answer:

t = -19.8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 8.2 to both sides.

Step 3: Multiply both sides by -2.

Answer:

B

Step-by-step explanation:

A: Also could be written as 0-5: its a division.

B: Also could be written as -1(5+5). The final answer is -10 and its an addition of 5 and 5.

C: Its a multiplication

D: Similar to B, it could be written as 5-5=0. Its a division of 5 and 5.

Hope this helps! If you still have a question feel free to ask it in the comment section below!

Cheers!

Answer:

Your answer is 4y - 6a + 3

Step-by-step explanation:

Combine like terms.

Answer:

[tex] \huge \color {blue} \boxed { \colorbox {brown}{ ANSWER }}[/tex]

9y + 2a - 5y + 3 - 8a

→ 4y + 2a + 3 − 8a

→ 4y − 6a + 3

→ 6a + 4y + 3

Well, we're just simplifying the fraction.

(2x^2)(y/4).

(2yx^2)/4.

When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.

Edit:

2/4 is 1/2.

(yx^2)/2.

Answer:

The answer is y ≥ 0

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.

From the given condition,

(3/5) of total puzzle pieces = Number of red puzzle pieces

(3/5) × 30 = Number of red puzzle pieces

Number of red puzzle pieces = 18

Total puzzle pieces = Red puzzle pieces + Black puzzle pieces

30 = 18 + Black puzzle pieces

Black puzzle pieces = 30-18

Black puzzle pieces =12

Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

Learn more about the arithmetic operation here:

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Answer:

Okay. We'll do some sort of telepathy or anything to find out what you're trying to say. But not now because I don't have any reason to help you with this empty post, ask something if you want else expect these answers.

Answer:

7.901. 10 '12'

Step-by-step explanation:

Answer:

1st problem. x= √2, -√2 or Decimal form x= 1.41421356...

2nd problem.  x= √2/2 , -√2/2 or Decimal form X= 0.70710678...

Answer:

[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]

Step-by-step explanation:

there are not any like terms, so you can not add anything together.

like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)

Answer: No, it is not a unit rate

Explanation:

A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".

To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.

Answer & Step-by-step explanation:

37.

Linda walked 3/4 (or 75%) of a track which is 3.5 miles long

Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)

38.

We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)

1/8 is 0.125  

2/8 is 0.25

3/8 is 0.375

The track is 2.375 miles long.

Multiply 2.375 by 2.5

The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)

Step-by-step explanation:

37) ¾×7/2

21/8 miles = 2⅝miles .

38) (19/8×5/2)+19/8

= 95/16+19/8

= 133/16 = 8 5/16 miles .

hope this helps you.

9514 1404 393

Answer:

  0.15 dL

Step-by-step explanation:

The volume of the bar is ...

  V = LWH

  V = (5 cm)(3 cm)(1 cm) = 15 cm³

1 dL = 100 cm³, so this volume is ...

  (15 cm³)(1 dL)/(100 cm³) = 0.15 dL

The bar will displace 0.15 deciliters.

Answer:

1. (x-1) (x+4)

2. (3x+2) (x+1)

3. (3x+4) (2x+1)

4. (x-1) (x-2)

5. (x-5) (x+8)

Answer:

a, -4.5

Step-by-step explanation: I should now I am in 10th grade math

Answer:

[tex]2(x+11y)[/tex]

Step-by-step explanation:

Rearrange:

[tex]10x-7x-x+13y+9y[/tex]

Subtract and Add:

[tex]2x+22y[/tex]

Simplify:

[tex]2(x+11y)[/tex]

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

Answer:

x= 5 and y = 1.5

Step-by-step explanation:

5x -4y = 19

x + 2y = 8

let x = 8 - 2y...

5x - 4y = 19.......x = 8 -2y

5(8-2y) - 4y = 19

40 - 10y -4y= 19

40-14y = 19

-14y = 19-40

-14y = -21

y = 1.5

x = 8 - 2(1.5)

x = 8 - 3

x = 5

Thus, x is 5 and y is 1.5

Hope this helps!!!!

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Answer:

144

Step-by-step explanation:

48x4-48=144

Answer:

Question : The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at the sale price

Answer :

There are two ways to look at this.  If we take 1/4 off, then the $48 is 3/4 of the original price.

(3/4)p = 48

(4/3)(3/4)p = 48(4/3)

p = 64

Regular price is $64.

Step-by-step explanation:

- Amaya :))

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Answer:

the value is 126

Step-by-step explanation:

have a good day

Answer:

It will take billy SEVEN weeks

Step-by-step explanation:

It will take Billy seven weeks because 3 x 7 = 21