Lines y and z are parallel. parallel lines are cut by transversals s and t. the angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank. what is the measure of angle 2? 6 degrees 11 degrees 28 degrees 37 degrees

Answer:

Question 1. You can find the area of the rectangle, by multiplying the length and width of the rectangle, where (x + 2) is the length and (x + 1) is the width.

[tex]\mathrm{Question\:\:2.\quad{(x + 1)(x + 2) = { x }^{ 2 } +x+2x+2}}[/tex]

[tex]\mathrm{Question\:\:3.\quad{{ x }^{ 2 } +3x+2}}[/tex]

Step-by-step explanation:

Steps for finding the area of the rectangle

[tex]\mathrm{(x + 1)(x + 2)}[/tex]

Apply the distributive property by multiplying each term of x+2 by each term of x + 1

[tex]{ x }^{ 2 } +x+2x+2}[/tex]

Combine x and 2x to get 3x

[tex]{ x }^{ 2 } +3x+2[/tex]

Answer:

r = [tex]\frac{A-P}{Pt}[/tex]

Step-by-step explanation:

Step 1: Subtract P from both sides.

Step 2: Divide both sides by Pt.

Answer:

There is 1/2  of 4/5 cup servings in a cup of ice cream.

Answer:

[tex]8 + x = 25 \\ x = 25 - 8 \\ 17[/tex]

The part of the circle with the term is given.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

The matches of the part of the circle with the respective term is given below:

GH ↔ chord

M ↔ point of tangency

MJ ↔ diameter

J ↔ center

MH ↔ radius

GH ↔ secant

Therefore, all the part of the circle are matched with the respective term.

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sorry but the digits after 18 are unclear. are they singular or going together in 2s or is it one big number?

[tex] \frac{1}{3} (1632 + x) = 726[/tex]

[tex] \frac{1}{3} (x + 1632) = 726[/tex]

[tex] \frac{1(x + 1632)}{3} = 726[/tex]

[tex] \frac{x + 1632}{3} = 726[/tex]

[tex]3· \frac{x + 1632}{3} = 3·726[/tex]

[tex]x + 1632 = 3·726[/tex]

[tex]x + 1632 = 2178[/tex]

[tex]x + 1632 - 1632 = 2178 - 1632[/tex]

[tex]x =546[/tex]

So, the value of x is 546.

Answer:

[tex]686.6 cm^2[/tex]

Step-by-step explanation:

From the volume we can find the surface area of one of the triangle sides, by dividing it by its height. You find out that the surface of the triangle face is [tex]\frac {866}{20}=43.3 cm^2[/tex]. Let's pick two of them since we have two side faces (one close to us in the image, one far away), for a total area of [tex]86.6 cm^2[/tex]. At this point we need to add the area of the rectangular faces, which are three rectangles of length 20 and height 10, for a grand total of [tex]3\times10\times20 = 600 cm^2[/tex].

Adding everything together, we get [tex]600+86.6 = 686.6 cm^2[/tex]

Answer:

c = 686.6

Step-by-step explanation:

A=ah+bh+ch+1/2√﹣a⁴+2(ab)²+2(ac)²﹣b⁴+2(bc)²﹣c⁴

=10·20+10·20+10·20+1/2·√﹣10⁴+2·(10·10)²+2·(10·10)²﹣10⁴+2·(10·10)²﹣10⁴

=686.60254

Answer: 82

Step-by-step explanation:

Answer:

(x+2)(x+8)=0

therefore if x+2=0

x+2-2=0-2

x=-2

and in standard form -2×10ⁿ where n=0

Answer:

This season

Step-by-step explanation:

Lowest Common Multiple (LCM) of 20 and 25 = 100

10/20 * 5/5 = 50/100 = 5/10

15/25 * 4/4 = 60/100 = 6/10

5/10 < 6/10

Step-by-step explanation:

x+7=10

10-7= x

x = 3

3+7=10

Answer:

x = 3

Explanation:

Subtract 7 from 10.

10 - 7 = 3

Therefore, 3 + 7 = 10

Using simple interest, it is found that the monthly payments are of $854.875.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, the parameters are A(0) = 49000, r = 0.0665, t = 7, hence the total amount is of:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 49000[1 + 0.0665(7)][/tex]

[tex]A(t) = 71809.5[/tex]

Payments over a period of 12 x 7 = 84 months, hence the monthly payments are of:

71809.5/84 = $854.875.

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Answer:

$3.63

Step-by-step explanation:

because at first ally had 18.25 dollars. she got 2.45 dollars more, then spent $2.55. later, after spending the money, she gave 1/5 of the money to her mom.

(18.25+2.45-2.55)*1/5

=3.63

The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to [tex]\dfrac{5\pi}{3}[/tex]. And we know the formula for the length of the arc, therefore, the length of the arc,

[tex]\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}[/tex]

                            [tex]= 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\ ft[/tex]

Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to [tex]\dfrac{5\pi}{3}[/tex] is 10.5ft.

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Answer:

C or 10.5 ft

Step-by-step explanation:

Answer:

10x+70=180

x=11

Step-by-step explanation:

(3x+28)+(5x+52)+(2x-10)=180⁰

3x+28+5x+52+2x-10=180

10x=180-70=110

x=110/10=11

Answer:

Your answer is right at the top of the trapizoid

Step-by-step explanation:

Answer: 1130 grams.

Step-by-step explanation:

She has 1130 grams remaining after converting 1.6kg to grams (160 0grams).

Answer:

Step-by-step explanation:

convert into grams

multiply 1000 by 1.6

Now substract 470g from it

subtract 470 from 1600

convert the g back into kg

divide 1130 by 1000

Answer: x=2

Step-by-step explanation:

The diagonals of a rectangle are equal.

Therefore AC=BD,

7x-4=10

7x=10+4

7x=14

x=14÷7

x=2

We need to find the nature of the roots of the quadratic equation 2x² - 6x + 7 = 0 , and need to find the Discriminant

Now ,as we know that the Discriminant of any quadratic equation of the form ax² + bx + c = 0 , is D = b² - 4ac

So now ;

[tex]{:\implies \quad \sf D=(-6)^{2}-4\times 2\times 7}[/tex]

[tex]{:\implies \quad \sf D=36-56}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Discriminant=-20}}}[/tex]

Now , as D < 0 ,So nature of roots will be imaginary

Answer:

x = [tex]\frac{y-5t}{5}[/tex]

Step-by-step explanation:

y = 5(t + x) ← distribute parenthesis by 5

y = 5t + 5x ( subtract 5t from both sides )

y - 5t = 5x ( divide both sides by 5 )

[tex]\frac{y-5t}{5}[/tex] = x

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:$24.80

Step-by-step explanation:

Answer:

What value of x is in the solution set of 3(x - 4) = 5x + 2?

Solution:

3(x - 4) = 5x + 2 [Given]

Using the distributive law of multiplication on LHS

3x - 12 = 5x + 2

By grouping the similar terms on either sides and solving for x, we get

3x - 5x = 2 + 12

- 2x = 14

Divide both sides by -2 (by division property of equality)

(- 2x/2 )= 14/2

-x = 7

Therefore, the value of x is -7.

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

Explanation:

I'll be using x in place of t

The equation given is y = -4.9x^2 + 19.8x + 58

It is of the form y = ax^2 + bx + c which is the standard form for quadratics.

We have,

Plug the first two values into the equation below

h = -b/(2a)

h = -19.8/(2*(-4.9))

h = 2.0204081632653

That value is approximate.

Rounding to the nearest whole number gets us roughly h = 2

Recall that (h,k) is the vertex of the parabola. In this case, it's the highest point. The cannonball reaches the highest point at roughly 2 seconds.

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Extra side notes:

Answer:

3(3x - 2y)

Step-by-step explanation:

9x - 6y

Factor out 3 from the expression

3(3x - 2y)

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Answer:

gutavas get the best gas mileage

Answer:

2/14=0.143

-5/12= -0.417

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

First convert them to improper fractions

5 4/6 = (5×6 + 4)/6= 34/6

4 1/3 = (4×3 + 1)/3=13/3

Now make them have the same denominator. In order to do this, you must multiple 13/3 by 2/2, so both the denominators equal 6.

13/3 × 2/2 = 26/6

34/6 + 26/6 = 60/6 = 10