x + 3y = 5
x + 2y = 3
Solve by using elimination​

Answer:

heat, water, ice, or other agents

Step-by-step explanation:

The length of the [tex]\overline{QT}[/tex] can be determined using the given information and

the relationship between corresponding sides of similar triangles.

Reasons:

The given parameters are;

[tex]\overline{ST} \parallel \overline{PQ}[/tex]

ST = QT + 5

RT = 10

PQ = 15

Required: The length of [tex]\overline{QT}[/tex]

Solution:

Using the relationship between corresponding sides of similar triangles, ΔRST and ΔRPQ, we have;

RQ = QT + RT

Therefore;

Which gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{\overline{RT}} = \frac{\overline{PQ}}{\overline{QT} + \overline{RT}}[/tex]

Plugging in the known values gives;

[tex]\displaystyle \frac{\overline{QT} + 5}{10} = \mathbf{\frac{15}{\overline{QT} + 10}}[/tex]

[tex](\overline{QT} + 5) \times (\overline{QT} + 10) = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 10\cdot \overline{QT} + 5\cdot \overline{QT} + 50 = 10 \times 15[/tex]

[tex]\overline{QT}^2 + 15\cdot \overline{QT} + 50 - 150= 0[/tex]

[tex]\mathbf{\overline{QT}^2 + 15\cdot \overline{QT} -100} = 0[/tex]

Factorizing with a graphing calculator gives;

[tex](\overline{QT} -5) \cdot (\overline{QT} + 20)= 0[/tex]

[tex]\mathbf{\overline{QT} = 5} \ or \ \overline{QT} = -20[/tex]

Therefore, given that [tex]\overline{QT}[/tex] is a natural number, we have;

[tex]\underline{\overline{QT} = 5}[/tex]

Learn more about similar triangles here:

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Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

Answer:

AAA?

Step-by-step explanation

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent

Answer:

39

Step-by-step explanation:

1450.8 / 37.2 = 39

Answer:

0.324 m²

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2

54 cm is the base, dashed is the height which is 1.2 m, we convert 54 cm into meters (54 cm = 0.54 m)

and we apply the formula

1.2 * 0.54 : 2 =

0.324 m²

Answer:

32.4? or 0.324 m²

Step-by-step explanation:

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x - 3 + 3 < 9 + 3

3x < 12

[tex]\frac{3x}{3} <\frac{12}{3}[/tex]

x < 4

Answer:

the answer is x is less than 4

Step-by-step explanation:

3x-3<9

3x-3+3<9+3

-3deleted by +3

so we get 3x<12. over 3 over 3 and we got

x<4

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

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

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

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

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

Answer:

125

Step-by-step explanation:

75 + 50

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

Answer:

NG≅GF

Step-by-step explanation:

Since the side has to be in between the two angles so it from a ASA

The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF

Answer:

The Answer is 28.  Please mark the brainliest! And thanks!

Step-by-step explanation:

Did with a teacher!

Answer:

r = ± [tex]\sqrt{q^2-p^4[/tex]

Step-by-step explanation:

p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )

(p² )² = q² - r²

[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )

[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )

q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )

± [tex]\sqrt{q^2-p^4}[/tex] = r

Answer: 8

Step-by-step explanation:

plug y into the first equation:

8x+5y=24

8x+5(-4x)=24

8x-20x=24

-12x=24

x=-24/12

x=-2

then plug x to the second equation

y=-4

y=-4(-2)

y=8

x=-2

y=8

Answer:

(- 6, 24 )

Step-by-step explanation:

y = - 8x - 24 → (1)

y = - 4x → (2)

Substitute y = - 4x into (1)

- 4x = - 8x - 24 ( add 8x to both sides )

4x = - 24 ( divide both sides by 4 )

x = - 6

Substitute x = - 6 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4(- 6) = 24

solution is (- 6, 24 )

Answer:

1. false

2. false

3. false

4. true

Step-by-step explanation:

a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square

a parrellelogram can be any shap as long as its parrelel

a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope it can help you lovelots

Answer:

Answer A

Step-by-step explanation:

From the image, it looks like the answer is y<1/2x+2 because the shading of the line is below, as well as the points of interception are 4 and 2. I hope this helps!

Answer:

b

Step-by-step explanation:

Answer 1.085

dd

sa

d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

https://brainly.com/question/14731228

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Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

Answer:

Step-by-step explanation:

Value of x= `

4x+5y-6z =2

x= (2-5y+6z) divided by 4

For example : if x is 2.5

2.5 = 2 - 5x2 + 6x3

Answer:

183in^2

Step-by-step explanation:

Given that the length is 15 in and the width is 26 in we can figure out the area of a full rectangle.

15x26=390in

We now want to figure out the small rectangle on the bottom of the image.

The area of a triangle is A=hb/2

A=6x15/2=45

In the image, you can see that the rectangle is incomplete and missing part of it. It's missing a triangle so in order to complete the rectangle you multiply 45x2.

45x2=90

Finally, we can solve for the remaining triangle.

A=9x26/2=117

Add up the triangles and subtract the sum from the area of the rectangle to get the shaded area.

390-(90+117)=183in^2

Hope this helps :)

Answer:

28/4

Step-by-step explanation:

the slash is also a division sign.

Answer:

B: 28/4 should be the correct answer, correct me if I'm wrong.

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]

[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]

LCM of 9 and 5 = 45

[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]

[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]

[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]

Answer:

Step-by-step explanation:

List the facts phrase by phrase.

Total = 15 hours

Let Raul's hours = x

Let Jamie's hours = y

Total = x + y = 15

x = 3 + 2y

From total, find x

x+ y = 15                    Subtract y from both sides.

x = 15 - y                   Put the value for x in x = 3+ 2y

3 + 2y = 15 - y           Subtract 3 from both sides

2y = 15 - 3-y            Combine

2y = 12 - y                Add y to both sides.

2y + y = 12                  Combine

3y = 12

y =  12 / 3

y = 4

Jamie worked 4 hours

Raul worked 11

Answer:

4

Step-by-step explanation:

I think if not sorry

Answer:

345

Step-by-step explanation:

On adding 60 to 325 and then subtracting 40 the answer will be 345.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers 60, 325, and 40. The expression will be formed as below:-

E = 60 + 325 - 40
E = 385 - 40

E = 345

Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.

To know more about an expression follow

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I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.

Answer:

Isometry = 2: A transformation that preserves distance.

Image = 1: The result of a transformation on a point or figure.

Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.

Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.