18.
The area of the rectangle shown is at most 140 square centimeters.
a. Write and solve an inequality to find the possible
values of x.
10 cm
b. Based on the answer in part (a), is it possible for
the rectangle to have a length of 15 centimeters?
Explain.
(3x + 2) cm

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

Answer:

Wrong

Step-by-step explanation:

Pythagorean theorem is not used for rectangles but only for triangles

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Answer:

about 6000π

Step-by-step explanation:

Answer:

280/3

Step-by-step explanation:

multiply the number by 10x

subtract it by the original number on both sides

it should give u 9x to whatever answer u got multiply by 10 then divide by 90

Answer: 13

Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a .

Parallel lines → a & c

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b .

Parallel lines → d & e

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

c .

I couldn't read it....

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d .

Parallel lines → ---

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

e .

Parallel lines → b & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f .

Parallel lines → a & c

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Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

Answer:

umm what grade are you in???

144/9= 16!!!!!

Step-by-step explanation:

anyways wont act exactly like you and the answer is 16

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Answer:

output(y)=7

Step-by-step explanation:

y=3(4)-5

<=> y= 12-5

<=> y= 7

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

Answer:

8000 meters per second

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y-int. is -5 like the equation and the slope is positive

Answer:

4

Step-by-step explanation:

Answer:

[tex]a+b+c=9+8+6=23[/tex]

Step-by-step explanation:

Let’s first simplify our expression. We have:

[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]

For the second term, multiply both the numerator and denominator by √2. This yields:

[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Hence, our expression is now:

[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]

For the second term, we can multiply both layers by 3. Hence:

[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]

For the third term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]

And for the last term, we can multiply both layers by 2. Hence:

[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]

So, our expression is:

[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]

Add:

[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]

Combine like terms:

[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

[tex]a+b+c=9+8+6=23[/tex]

Answer:

x = -3/11

Step-by-step explanation:

First, distribute the -3 and 12 within the parenthesis

12 - 9x + 15 = 24x + 12

Now, combine like terms

3 - 9x = 24x + 12

Subtract 24x from both sides of the equation

3 - 33x = 12

Subtract 3 from both sides of the equation

- 33x = 9

Divide both sides by -33

x = -9/33

-9/33 can be simplified to -3/11, so the answer is

x = -3/11

I Hope That This Helps! :)

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

Answer:

No it would not be because two sides added up would not equal the other side

Step-by-step explanation:

Answer:

No it is not.

Step-by-step explanation:

All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.

Squares of the two shorter sides:

[tex]9^{2}+15^{2}=306[/tex]

Square of the longer side:

[tex]17^{2}=289[/tex]

∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.

I hope this helps :)