Calculate the sizes of the unknown angles in each diagram.

Please, answer with explanation.

Answer:

[tex]x[/tex] would be [tex](1/3)[/tex] when [tex]y = 3[/tex].

Step-by-step explanation:

The question states that [tex]x[/tex] varies "inversely" as [tex]y^2[/tex]. In other words, there is a non-zero number [tex]a[/tex] (a constant) such that:

[tex]\displaystyle x = \frac{a}{y^2}[/tex].

The challenging part is to find the value of [tex]a[/tex] in this equation.

Given that [tex]x = 3[/tex] when [tex]y = -1[/tex], replace the [tex]x[/tex] in this equation with [tex]3[/tex] and [tex]y[/tex] with [tex](-1)[/tex]. This equation should still be valid:

[tex]\displaystyle 3 = \frac{a}{(-1)^{2}}[/tex].

Solve for [tex]a[/tex]:

[tex]a = 3 \times (-1)^2 = 3[/tex].

Hence, the relation between [tex]x[/tex] and [tex]y[/tex] becomes:

[tex]\displaystyle x = \frac{3}{y^2}[/tex].

Find the value of [tex]x[/tex] when [tex]y = 3[/tex] by replacing the [tex]y[/tex] in this equation with [tex]3[/tex].

[tex]\displaystyle x = \frac{3}{3^2} = \frac{1}{3}[/tex].

In other words, the value of [tex]x[/tex] would be [tex]\displaystyle \frac{1}{3}[/tex] when [tex]y = 3[/tex].

Answer:

First number = 147

Second number = 105

Step-by-step explanation:

Let the two numbers be 7x and 5x

7x - 5x = 42

2x = 42

x = 21

First number = 7x = 7 x 21 = 147

Second number = 5x = 5 x 21 = 105

Hope this helps!

Answer:

25 minutes Will take him to complete the problem if the rate is same

Answer:

25 minutes

Step-by-step explanation:

Divide 10 by 2 and get 5.

Multiply 5 by 5 and get 25.

Pls notify me if my answer is incorrect, for the other users that will see this response.

-kiniwih426

Answer:

To give brainliest, you have to choose between one of the two answers to your question, whichever answer you want to give brainliest to. There will be a crown symbol at the top right of the answer I think and by clicking that, you will be giving brainliest to an answer for your question.

Step-by-step explanation:

Hope this helps

Answer:

Option 4

Step-by-step explanation:

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

(3x-4)(x+2)

3x²+6x-4x-8

3x²+2x-8

Brainliest please

Answer:

(x + 2)(3x - 4)

3x^2 + 2x - 8

Step-by-step explanation:

Factor out x + 2.

You get: (x + 2)(3x - 4)

Now multiply it out:

(x + 2)(3x - 4) = 3x^2 - 4x + 6x - 8 = 3x^2 + 2x - 8

Answer:

Step-by-step explanation:

41 minutes

He finished reading at 8:57 AM. How many minutes did he read? >) 41 minutes.

can i get brainlyest thx

Answer:

He read for 39 minutes

Step-by-step explanation:

You just subtract 57 - 18

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

Answer and Step-by-step explanation:

(4 × 5 + 2)(3 - (2 × 3))

I think this is it but I'm not sure.

22 × -3 = -66 is I think the answer.

#teamtrees #PAW (Plant And Water)

Answer:

98/15

Step-by-step explanation:

[tex](\frac{4}{5} +2)[/tex][tex](3-\frac{2}{3} )[/tex]

=(4 + 5*2)/5  (3*3 -2)/3

=(4+10)/5  (9-2)/3

=(14/5 )(7/3)

if there is no any sign between the two fraction inside bracket then it means to multipli.

=14/5 * 7/3

=14*7/5*3

=98/15

Answer:

A = -7.5   B = -17.5

Step-by-step explanation:

A + B = -25

A = B + 10

Plug the second equation into the first equation:

B + 10 + B = -25

2B = -35

B = -17.5

Plug that value into the first equation:

A - 17.5 = -25

A = -7.5

Answer:

25 cm

Step-by-step explanation:

hope it helps.....

Answer:

25 cm

Step-by-step explanation:

Use Algebra:

Area of a triangle is  [tex]A = \frac{1}{2} bh[/tex]  

[tex]\frac{1}{2}b[/tex] × 32 = 400

[tex]\frac{1}{2}b[/tex] = 12.5

[tex]b = 25 cm[/tex]

Answer:

Step-by-step explanation:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x

Hope this answer helps you :)

Have a great day

Mark brainliest

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

Step-by-step explanation:

Answer:

Hello! answer: 268 square meters

Step-by-step explanation:

To find the total surface area you find the area of each face then add them up so...

10 × 3 = 30

10 × 3 = 30

8 × 3 = 24

8 × 3 = 24

10 × 8 = 80

10 × 8 = 80

Now that I found the area for each face I will just add them up so...

30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!

[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]

The above pieces will form a cuboid, having dimensions :

[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]

[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]

[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]

We know that Surface area of Cuboid is :

[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]

Let's solve,

[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]

[tex]\longrightarrow2[80 + 24 + 30][/tex]

[tex]\longrightarrow2 \times 134[/tex]

[tex]\longrightarrow268 \: m {}^{2} [/tex]

[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]

Answer/Step-by-step explanation:

Mean is a measure of center tendency which can be said to be the average value of a set of data. It can be referred to as the commonest value in a data set. It is the sum of all data values in a given set divided by the number of values.

For example, a test score for a class of 5 is given as 5, 6, 2, 4, 7

The mean = sum of all values/number of data values

= (5 + 6 + 2 + 4 + 7)/5

= 24/5

Mean = 4.8

Answer:

y = 5

Step-by-step explanation:

3y - 2 = 13

We are solving for y, so we want to isolate it.

Add 2 to both sides.

3y = 15

Continue isolating y by dividing both sides by 3.

y = 5

Check your answer by plugging it back into the original equation.

3y - 2 = 13

3(5) - 2 = 13

Multiply.

15 - 2 = 13

Subtract.

13 = 13

Your answer is correct.

Hope this helps!

Answer:

y = 5

Step-by-step explanation:

Get y by itself:

3y - 2 = 13

     +2    +2

3y = 15

Divide by 3:

3y = 13

÷ 3    ÷ 3

y = 5

Answer:

980.1769079 cm^2

2261.946711cm^3

Step-by-step explanation:

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, fig. B to fig. A

Consider the horizontal lengths, then

scale factor = [tex]\frac{8}{4}[/tex] = 2

Answer:

56

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal

60x0.35=21

There are 21 perennials

Do the same for the biennials:

60x0.25=15

Therefore 15 biennials

Subtract the amount of perennials from the amount of biennials

21-15=6

There is 6 more perennials than biennials

Answer:

the answer is 6

21-15=6

Step-by-step explanation.

35% of 60 = 21 for perenalis

25% of 60 = 15 for biennials

40% of 60 = 24 for annuals

Answer:

16c - 7 = 13.32

Step-by-step explanation:

The cost of 16 cookies minus the coupon equal how much he paid

16c - 7 = 13.32

Answer:

16c - 7 = 13.32

Step-by-step explanation:

Answer:

13/12 x²

Step-by-step explanation:

x / 12 x + x²

Rewrite

x / 12 x + x + x²

Write the division as fraction

1/12 x + x + x²

Calculate the product

1/12 x² + x²

calculate the sum

13/12 x²

Answer:

$81.10

Step-by-step explanation:

Profit = total revenue - total cost

1 liter = 1000 mm

7 liter = 7000 mm

Number of jars needed = 7000 / 250 = 28

total revenue = number of jars sold x price per jar

28 x  $8.95 = 250.60

Total cost = $155.50 + (0.5 x 28) = 169.50

Profit = 250.60 -  169.50 = 81.10

Answer:

$0.27

However answered below me is correct. I divided backwards.

My apologies. It is 5am here locally and I've been up doing math for too many hours.

Unit price = Total cost divided by quantity

Unit price = 1.91 ÷ 7= 0.2728571429

rounded to the nearest cent $0.27

Answer:

27 cents

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 x 3 = 30

30 - 12 = 18

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

XYZ is congruent to DEF so:

X = D

Y = E

Z = F

Answer:

Amber is fossilized tree resin that has been appreciated for its color and natural beauty since Neolithic times. ... There are five classes of amber, defined on the basis of their chemical constituents. Because it originates as a soft, sticky tree resin, amber sometimes contains animal and plant material as inclusions.

Answer:

12

Step-by-step explanation:

Jeffrey made scale drawings of the house a lot

He used a scale of 7 inches: 4 feet

The actual width of the backyard is 48

Therefore the width of the backyard in the drawing is

= 48/4

= 12

Answer:

Step-by-step explanation:

a^2-b^2

(a-b)(a+b)

Answer:

[tex](a-b)(a+b)[/tex]

Step-by-step explanation:

This particular pattern: [tex]a^2-b^2[/tex]; is the difference of squares pattern.

Difference of Squares Pattern: [tex](a-b)(a+b)=a^2-b^2[/tex]

There are other square of binomial patterns (though the difference of squares pattern isn't really a square of binomial, I learned these three at the same time)

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Answers:

Blank 1 = p and q

Blank 2 = Consecutive interior angles converse

=================================================

Explanation:

There's a lot of visual noise here, meaning there's a lot of lines and angles to potentially distract. I recommend redrawing things but only drawing lines p and q, and the transversal cut line t. Furthermore, I would mark only angle 8 and angle 13. See the diagram below.

The diagram is optional, but hopefully you can see that the angles are same side interior angles, aka consecutive interior angles. That's why we go with the consecutive interior angles converse

If we drop the "converse" portion, then that theorem says parallel lines lead to supplementary consecutive interior angles. The converse just reverses the flow of the logic.