The angles of a rectangle are equal. always sometimes never

Answers

Answer 1
Answer: The angles of a rectangle are equal ALWAYS.

The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.

Just like a rectangle, a square has an angle that is always equal because its angles are all right angles. 



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Solve each question for X , y=-9+x^2

Answers

so basically you want to isolate only one of the variable on one side so
y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
√(y+9)=x

x=√(y+9)
y = -9 + x^2
y + 9 = -9 + 9 + x^2
y + 9 = x^2
√y+9 = √x^2
√y+9 = x
x = √y+9

√ is the square root symbol

Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

Answers

Answer:

x=1

Step-by-step explanation:

9+4x=15-2x

9+6x=15                    Add two to both sides

6x=6                        divide by 6

x=1

Answer:

-12

Step-by-step explanation:

I set it up as an equation based on the word problem you gave me

So

2n - 15 = 4n + 9

Combine like terms

-2n = 24

Isolate the variable n

-2n/-2 = 24/-2

n = -12

To check your work replace the n with -12

2(-12) - 15 = 4(-12) + 9

-24 - 15 = -48 + 9

-39 = -39

What is the at least probability of 6

Answers

Answer:

15/36 or 41.667%

Step-by-step explanation:

The weights of four packets of sugar are shown below:Packet A: 4.35 pounds
Packet B: 4.42 pounds
Packet C: 4.48 pounds
Packet D: 4.39 pounds


Sandy has a scale that measures to the nearest tenth of a pound. If Sandy weighs each packet on her scale, the heaviest reading will be _____ pounds.

Answers

4.35=4.4
4.42=4.4
4.48=4.5
4.39=4.4

Highest will be 4.5 pounds.

Answer:

packet C : 4.50 pounds

Step-by-step explanation:

4⁄8 + ¼ = ? What is the correct answer to this problem? a. 1 b. ⅝ c. ¾ d. 2⁄8

Answers

Answer:

c. ¾

Step-by-step explanation:

By adding fractions, you must follow the following steps:

1. Make sure the numbers of the denominators are equal.

2. Add the numerators and put this number over the denominator.

3. Simplify.

Since the number of the denominators are different. We must multiply and divide one fraction for a number such that the denominators stand equal. For instance, we can multiply and divide fraction 1/4 by number 2 as follows:

(1)/(4)=(1 * 2)/(4 * 2)= (2)/(8)

So the expression can be written as follows:

(4)/(8)+(2)/(8)=(6)/(8) \n \n But \ (6)/(8) \ can \ be \ written \ as: \n \n (3 * 2)/(4 * 2) = \boxed{(3)/(4)}

There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you found your answer

Answers

Did you say that the ratio of boys to girls is 5 to 7 ?

Well, then we know that 5 'groups' in the cast are boys, and 7 'groups' are girls.
So all together, there are 12 'groups' of students in the play, although we don't know
how many a 'group' is.

But wait a second.  You said there are 48 all together.  So each 'group' must be
48/12 = 4 students.

5 'groups' of boys = 20 boys
7 'groups' of girls = 28 girls

Check:

-- The ratio of 20 to 28 is 5 to 7 .  OK

-- 20 + 28 = 48 all together. OK

It all checks out.
yay
boys:  x
gilrs:   y

From the text of the task:

\left \{ {{(x)/(y)=(5)/(7)} \atop {x+y=48 \rightarrow x=48-y}} \right.

Replacing x:

(48-y)/(y)=(5)/(7)\n \n 7(48-y)=5y\n \n 336-7y=5y\n \n 12y=336\n \n y=(336)/(12)=28

So there are 28 girs and 20 boys