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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:

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

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:

85+x=153

Step-by-step explanation:

So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153

The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.

Given data:

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.

Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :

s + 85 = 153

In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").

Hence, the equation is s + 85 = 153

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Answer:

7.901. 10 '12'

Step-by-step explanation:

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

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Answer:

It will take billy SEVEN weeks

Step-by-step explanation:

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

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.

Answer:

One element a topographic map shows is Elevation.

Step-by-step explanation:

Answer:

360 is the constant

Step-by-step explanation:

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

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

Step-by-step explanation:

In the photo !

Answer:

2/3 = 0.667 8/9 = 0.889 Then, we compare the two decimal numbers to get the answer. 0.667 is not greater than 0.889.

Answer:

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

Answer:

the value is 126

Step-by-step explanation:

have a good day

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Then solve

x

=

6

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable and solve for x.

Answer:

-2.17 yrds?

Step-by-step explanation:

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:

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:

D

Step-by-step explanation:

She should have ended up with 4x-8= 4x-8

When you put everything on the proper side everything cancels out

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: 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:

A: 3 0 0

B: 150 ;-;

Step-by-step explanation:

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:

[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:

A

Step-by-step explanation:

cause an exponent and be any number

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:

Angle 2 = 55

Angle 1 = 125

Step-by-step explanation:

Considering the line vertical lines are parallel:

Angle 2 and angle with measure of 125 are supplementary and their sum is = 180

So m<2 = 180 - 125 = 55

For angle 1:

Again since the vertical lines are parallel:

Angle 1 and angle with given measure 125 are alternate and has same measurement.

Answer:

Angle 2= 55 degrees

angle 1= 125 degrees

Step-by-step explanation:

Angle 2 uses SA, 180-125=55

angle 1 is parallel to the 125 degree line

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.

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