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Answer:

The numbers are 495 and 496.

Step-by-step explanation:

[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]

Answer:

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

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Answer:

13.695

Step-by-step explanation:

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

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

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:

15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1

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:

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:

Wrong

Step-by-step explanation:

Pythagorean theorem is not used for rectangles but only for triangles

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:

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.

Given :

A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.

To Find :

Write an equation to represent the cost of one square foot of flooring.

Solution :

Fee of one square feet, p = $287/60 = $4.783 .

So, slope of equation will be 4.783 .

Price of installation is $80 dollar.

Therefore, equation to represent the cost of one square foot of flooring is :

C = 4.783n + 80

Here, C is total cost and n is number of square feet.

Hence, this is the required solution.

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:

8000 meters per second

Step-by-step explanation:

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:

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:

$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:

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:

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.

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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:

4

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

I believe this is correct because if you divided 320 by 52 you get 6.15384615385 (or just 6.1) and since we did it to the Y operation we do it to the X operation and x, aka 8, divided by 6.1 equals 1.3.

I'm not 100 percent sure about this, this was very rushed. xx

Answer:

Many aquarists swear by the standard rule of “one inch of fish per gallon” rule.

Step-by-step explanation:

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 :)

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

Answer:

the answer is 10 the other dude is right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:i just took the test and got it right :)

Answer: The first train gets to the station in 3 hours 14 minutes, and 40 seconds if it is a consent speed of 100 mph The second train gets to the station in 4 hours and 3 minutes if it is a consent speed of 80 mph, so they would meet in 4 hours and 3 minutes.

Step-by-step explanation:

Answer:

output(y)=7

Step-by-step explanation:

y=3(4)-5

<=> y= 12-5

<=> y= 7