What is m∠PTS? Enter your answer in the box.

Step-by-step explanation:

[tex]\textsf{\large{\underline{Solution}:}}[/tex]

Given Equations:

→ 5x - 2y = 6 ----- (i)

→ 3x + 2y = 10 ---- (ii)

Adding (i) and (ii), we get:

→ 8x = 16

→ x = 16/8

→ x = 2

Substituting the value of x in (i), we get:

→ 5 × 2 - 2y = 6

→ -2y = 6 - 10

→ -2y = -4

→ y = -4/-2

→ y = 2

Therefore:

→ (x, y) = (2, 2) (Answer)

[tex]\textsf{\large{\underline{Verification}:}}[/tex]

Put x = 2 and y = 2 in first equation, the LHS becomes:

= 5 × 2 - 2 × 2

= 10 - 4

= 6

= RHS

Put x = 2 and y = 2 in second equation, the LHS becomes:

= 3 × 2 + 2 × 2

= 6 + 4

= 10

= RHS

Hence, our answer is correct (Verified)

Answer:

X= 2

Y= 2

Step-by-step explanation:

Answer:

y= - 3/2x+4 or y= - 1.5x+4

Step-by-step explanation:

Slope Intercept Form: y=mx+b

3x+2y=8

2y= - 3x+8

y= - 3/2x+4 or y= - 1.5x+4

Convert to Slope-Intercept Form to graph 3x + 2y = 8.The Slope : -3/2The y-intercept: y = -3x/2 + 4

What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Solve the equation for y resulting in the y = mx + b
Where,
m = slope
b = the y intercept think b beginning.
3x + 2y = 8
Subtracting 3x both side
3x + 2y - 3x = 8 - 3x2y = 8 - 3x
Dividing both side by 22y/2 = 8/2 - 3x/2y = 4 - 3x/2y = -3x/2 + 4
So, m = -3/2and b = 4

Hence, Slope-intercept is y = -3x/2 + 4

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Answer:

3x

Step-by-step explanation:

( 7 ( x + 5 ) − 19 ) − ( 4 ( x − 6 + 10 ) ) (7(x+5)-19)-(4(x-6+10)) . 3 x

Answer:

5924, 51

Step-by-step explanation:

X = 4200(1.035)^10

And put it in a calculator

The total value of the account after 10 years is $5,924.52.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$4,200 \times (1 + 3.5\%)^{10}[/tex]

= $5,924.52

Therefore we can conclude that the total value of the account after 10 years is $5,924.52.

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Answer:

first one I think is 6 and then 3

Step-by-step explanation:

84% of the seats in the theater are not broken.

Answer:

84%

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The triangles are congruent, and the correct answer is D.

D. △JKL is congruent to △MNP because △JKL can be mapped to △MNP by a rotation of 180° about the origin followed by a translation 2 units up.

Rotation of triangle JKL by [tex]180^{o}[/tex] will result in the triangle with corresponding vertices of (2, 4), (3, 2) and (-1, 2).

so translating the resulting triangle two units up will result in the triangle with corresponding vertices (4, -2), (2, -3) and (2, 1) which is the same triangle like the given triangle MNP.

The figures is congruent because the 270° rotation about the origin or then the reflection over the x-axis would mapped ΔABC into ΔLMN.

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Answer:

216

Step-by-step explanation:

6^7 means 6*6*6*6*6*6*6 and 6^4 means 6*6*6*6

so this is;

6*6*6*6*6*6*6 / 6*6*6*6

279936/1296

216

Answer:

5000-4000=1000

Step-by-step explanation:

you subtract to get your answer

Answer:

1 rubber cube dude give since we'll

Answer:

5

Step-by-step explanation:

W = x

L = x + 3

P = 2W + 2L

26 = 2(x) + 2(x + 3)

26 = 2x + 2x + 6

26 = 4x + 6

26 - 6 = 4x

20 = 4x

x = 5

Answer:

8(2x² - y)(2x² + y)

Step-by-step explanation:

32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term

= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

4[tex]x^{4}[/tex] - y²

= [tex](2x^2)^{2}[/tex] - y²

= (2x² - y)(2x² + y)

Thus

32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)

Answer:

That would be -2, -2

Step-by-step explanation:

This is because if you go left or right it changes the x in (x,y). And when you move up or down it changes the y. So 5 seven units to the left is like 5 - 7 which is -2. And one unit up from -3 is -3 + 1 which is -2. Then you get your answer which is (-2,-2)

Answer:

x+(x+2)+(x+4)=63

Step-by-step explanation:

Answer:

3/8 of a pizza or 3 slices

Step-by-step explanation:

First, make the numerator of 3/4 an even number that can be divisible by 2 by multiplying the numerator and denominator by 2.

3/4 = 6/8

Then multiply 6/8 by 1/2 to get 3/8

Answer:

CFX, ADC

Step-by-step explanation:

CFX is just a larger version of AEX. Same thing with CFX.

We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.

The correct option is: E = {even numbers} and F = {odd numbers}

So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.

1) X = {rational numbers} and Y = {whole numbers}

Any whole number is also a rational number, for example:

2 = 4/2

So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.

2) P={multiples of 2} and Q={multiples of 3}

The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.

3) G={multiples of 5} and H={multiples of 10}

10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.

4) E={even numbers} and F={odd numbers}

We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.

Then we can see that these two sets are disjoints, and this is the correct option.

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Answer:

2(y+10)

Step-by-step explanation:

factor out the common term 2

Answer:

2(y + 10)

Step-by-step explanation:

cannot find y unless this is supposed to equal something, but this is how you factor out the answer. let me know if you have any other questions!

Answer:

it would cost 35 each I think

Answer:

21cm^2

Step-by-step explanation:

Formula for area of triangle = (base x height) / 2

in this triangle: base = 7        Height = 6

= (7 x 6) / 2

= 42 /2

= 21cm^2

Answer:

The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18

Explanation:

Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36

=> W = 18 - L

Answer:

[tex]a_{n} = a_{1} + d(n - 1) \\ d = 6 \\ a_{n} = 7 + 6(n - 1)[/tex]

Answer:

60 cm

Step-by-step explanation:

length is 4

area= l*w

4-3=1

4*1= 4

Answer:

it's all about materialistic gain.