Items 11-15. Lines a, b, c, and d
intersect as shown.

11. Which pairs of lines are parallel?

(a) a and b
(b) a and c
(c) c and d
(d) b and d

12. What is x?

13. What is y?

(a) 37
(b) 84
(c) 88
(d) 92

14. What is z?

(a) 84
(b) 92
(c) 96
(d) 109

15. If the slope of line d is given, the slope of which other line is known?

LEFT SIDE OF PAPER!!

The slope is 5/3, and the point-slope is y = 5(x+2)/3.

A linear equation has the general form y-y1=m (x-x1). It highlights the line's slope as well as one of the line's points (that is not the y-intercept).

The formula provided is to find slope, i.e.

m = (y2 - y1) / (x2 - x1) (x2 - x1)

where (-5, -5) for (x1, Y1) and (x2, Y2) (10, 4)

m = (10 + 5) / (4 + 5)

= 15 / 9

= 5 / 3

Now that we have the slope value, we can easily enter it into the supplied equation.

y - y1 = m(x - x1) (x - x1)

y + 5 = 5/3(x + 5)

Upon resolution, we obtain

y = 5x/3 + 10/3

or, y = 5(x + 2)/3

As a result, the slope is 5/3 and the point-slope is y = 5(x+2)/3.

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Answer:

To get the answer for X we have to subtract 16 from 4 which gives us 12

X=12

Hope this helps.

Answer:

4+X= 16

X=16-4

X=12

*To find X , you need to minus 16 by four. That is because you have to move (+4) to the other side (change sides,change signs). So (+4) becomes (-4) so 16-4 =12

The ordered pairs which are on the graph of 7x - y = 2 as required in the task content are; Choices B and C; (-1, -9) and (0, -2).

It follows from the task content that the ordered pairs which are on the graph of 7x - y = 2 be determined.

Hence, by testing each pair as follows; we have;

Ultimately, the required ordered pairs are; (-1, -9) and (0, -2).

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FIRST FIND THE EQUATION OF THE LINE

I WILL USE THE POINTS (-94,24) AND (-54,12)

TO FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{12 - 24}{ - 54 - ( - 94)} \\ m = \frac{ - 24}{ - 54 + 94} \\ m = \frac{ - 24}{40} \\ m = \frac{ - 3}{5} [/tex]

THE m ABOVE IS THE GRADIENT.

I WILL USE THE POINT (-74,18) TO GET THE VALUE OF C IN THE EQUATION Y=MX+C

[tex]15 = \frac{ - 3}{5} ( - 74) + c \\ 15 = \frac{222}{5} + c \\ c = 15 - \frac{222}{5} \\ c = \frac{ - 147}{5} [/tex]

THEREFORE THE EQUATION NOW IS

[tex]y = \frac{ - 3}{5} x - \frac{147}{5} \\

FOR THE X-INTERCEPT Y=0 SINCE IN THR X-AXIS Y=0..PLUG IN 0 IN THE PLACE OF Y TO GET X-INTERCEPT.

[tex] \frac{ - 3}{5} x - \frac{147}{5} = 0 \\ \frac{ - 3}{5} x = \frac{147}{5} \\ x = \frac{147}{5} \div \frac{ - 3}{5} \\ x = - 49[/tex]

(-49,0)

Let,

Perform the operation (1)+(2),

Substitute the value of x=-2/5 in the expression (1).

Thus, the value of x is -2/5 and value of y is -96/25.

Answer:

If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.

The surface area of the can is 220cm².

The height of the can is 10cm, and the diameter is 7cm.

height (h) = 10cm

radius(r) = 7/2 cm

The formula to find the surface area of the can = 2πrh

                                                                              = 2 × 22/7 × 7/2 × 10

                                                                              = 220cm²

Therefore the surface area of the can is 220cm².

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Answer: 8602 is the answer to 253 x 34, do you want the other parts solved too?

Step-by-step explanation:

Answer:[tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex] is in the form [tex][x+p]^{2} +q[/tex]

Step-by-step explanation:

Here given is [tex]x^{2} -5x+3[/tex].................................eq [1]

now we know that  [tex][x-\frac{5}{2}] ^{2}[/tex]= [tex]x^{2} -5x+\frac{25}{4}[/tex]............eq [2]

now add and subtract [tex]\frac{25}{4}[/tex] in eq 1

 [tex]x^{2} -5x+3+\frac{25}{4} -\frac{25}{4}[/tex]

 [tex]x^{2} -5x+\frac{25}{4}+3-\frac{25}{4}[/tex]

  [tex][x-\frac{5}{2} ]^{2} +\frac{3*4-25}{4}[/tex]................................from eq[2]

  [tex][x{-\frac{5}{2}] ^{2} +\frac{-12}{25}[/tex]

  so comparing with the given form [tex][x+p]^{2} +q[/tex]

   where p=[tex]\frac{5}{2\\}[/tex]  and   q=[tex]\frac{-12}{5}[/tex]

Answer:

242 sandwiches

Step-by-step explanation:

The group wants to make x number of sandwiches.

They have already made 132 sandwiches and still have 110 sandwiches to make.

To find the total, you can add these numbers up, because:

132 + 110 = total sandwiches

This way, you get 242 sandwiches

The restriction on the the values of y of the triangle is 4 < y < 16

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

Therefore, a triangle x, y and z have the following rule:

x < y + z

y < x + z

z < x + y

Hence, the restriction of the on the values of y, third side of the triangle is as follows:

6 < 10 + y

10 < 6 + y

y < 10 + 6, y < 16

Therefore, the restriction is y > 4 and y < 16.

Hence,

4 < y < 16

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11 miles he run per day, Monday-Friday.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total distance travelled = 60 miles.

On Saturday= 5 miles

Sunday was off

So, from Monday to Friday he travelled

=60 - 5

= 55 miles.

and, per day he run

= 55/5

= 11 miles

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Answer:

a= one mile in 4 minutes

b =48 minutes

Step-by-step explanation:

A

t = 20 minutes

d = 5 miles

Average speed = distance ÷ time

5 miles÷ 20 minutes

= 1 mile in 4 minutes

= 0.25 miles in 1 minute

B

0.25 miles in 1 minute

12 miles in g minutes

12 miles in 48 minutes

we get this answer because 0.25 in one minute is 1 ÷4

12÷ 12 × 4

12÷ 48

= 12 miles In 48 minutes

The pink ribbon is shortest.

Purple > yellow > silver > pink

Answer:

about 2 hours

Step-by-step explanation:

it is the reported average

Answer: the slope=0

Step-by-step explanation:

[tex]\displaystyle\\(-6,4)\ \ \ \ \ (-15,4)\\\\\boxed {The\ slope=\frac{y_2-y_1}{x_2-y_1} }\\\\The\ slope=\frac{4-4}{-15-(-6)} \\The\ slope=\frac{0}{-15+6} \\\\The\ slope=0[/tex]

Since the scale utilized in the draw is 1 inch : 9 feet and the diving board is 2 inches, we need to multiply the 2 inches by the scale:

The actual diving board is 18ft long

The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.

The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),

R(θ) = V₀²sin2θ/32

The given function in dependent on theta θ,

The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,

R(θ) = V₀²sin2θ/32

putting R(θ) equal to 129,  V₀ = 80ft/s,

129 = (80)²sin2θ/32

sin2θ = (129 x 32)/(80 x 80)

sin2θ = 0.645

Hence,

θ = 7/100π

so, the projectile should be launched at angle of 7/100π.

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Answer:

5 inches

Step-by-step explanation:

Hello!

The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.

So, to find the edge, we can find the cube root of 125 to find that measure.

The edge is 5 inches.

The ordered pairs lie on the graph of the exponential equation is

Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). One of the following forms can be used for an exponential function.

According to its definition, a fundamental exponential function has the formula f(x) = [tex]b^x[/tex], where b is a constant and x is a variable. The exponential function f(x) = [tex]e^x[/tex], where "e" is "Euler's number," and e = 2.718, is one of the most well-known ones. An exponential function may incorporate a constant if we expand the potential of various exponential functions.

Given function:

f(x) = 25 [tex](2.2)^x[/tex]

Now, taking x=0

y = f(x) = 25

and, x=0.5

y= f(x) = 37.08

and, x = 1

y = 55  

and, x=2

y = 121

So, the ordered pairs lie on the graph of the exponential equation is

2. The given function is [tex]f(x)= (3/8)^x[/tex]

Now, as per the graph As x decreases without bound, the graph of f(x) approaches y = 1.

Or,  As x decreases without bound, the graph of f(x) increases without bound.

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Answer: Well we can look at whether or not cubes may or may not equal the same by using volume and surface area, where the volume can be used as x^3 and the surface area x^2, but the reason why polynomials can help us a great deal in world problems is whether or not measurements are accurate, or just in general for solving big math equations. Hope this helps.

Answer:

Step-by-step explanation:

the one on top is simple it's 120

The length of the park not counting the path is 98 yards

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

From the information given, we have that;

The dimensions of the path having a width of 1 yard path around it are

(L+2) x (W+2)

We have to add 2 to the length and width because there will be a 1 yard path on all 4 sides of the rectangle

Given that the area is 4200 square yards; the original width is 40 yards

Now, substitute the values into the formula, we have;

Since Area = LW

4200 = (L+2)(W+2)

4200 = (L+2)(40+2)

Add the values

4200 = (L+2)(42)

expand the bracket

4200 = 42L + 84

collect like terms

4116 = 42L

Make 'L' the subject of formula

L = 98 yards

Hence, the length is 98 yards

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Answer:

98 yards

Step-by-step explanation:

Answer:

0.044444 = 11111/250000

Step-by-step explanation:

[tex]=\frac{44444}{1000000} =\frac{22222}{500000} =\frac{11111}{250000}[/tex]

Hope this helps

Let x and y be the two numbers we are trying to find.

'One number is 9 more 3 times another' is equivalent to x=9+3y

'Their product is 9 more than 3 times their sum' is equivalent to xy=9+3(x+y)

We have two equations and two unknowns; therefore, we can solve the problem

Solve it as shown below

Solve the quadratic equation

Finally,

The solutions are (21,4) and (0,-3)

 ∠O  ≅  ∠U is third statement which is congruent .

What is congruent triangle?

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                 NP ≅ TV

                ∠P  ≅  ∠V

                ∠O  ≅  ∠U

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Answer:

∠O  ≅  ∠U is third statement which is congruent .

Step-by-step explanation:

What is congruent triangle?

Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.

Congruent refers to having precisely the same form and size.

If all three sides of two triangles are the same, they are said to be congruent.

If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.

ΔONP and ΔUTV are congruent .

By using ASA Theorem ,

                NP ≅ TV

               ∠P  ≅  ∠V

               ∠O  ≅  ∠U

BRAINLIST??

Answer:

volume=length×width×depth

Step-by-step explanation: