Guide Questions:

1. How students have age between 12 and 14?

2. How many 14-year-old grade 7 students do there? ​

Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.

Given:

[tex]GJ=11a[/tex]

[tex]IJ=a+10[/tex]

To find:

The value of a that makes quadrilateral FGHI a parallelogram​.

Solution:

We know that the diagonals of a parallelogram bisect each other.

If FGHI is a parallelogram​ and J is the intersection point of diagonals, then

[tex]GJ=IJ[/tex]

[tex]11a=a+10[/tex]

[tex]11a-a=10[/tex]

[tex]10a=10[/tex]

Divide both sides by 10.

[tex]a=\dfrac{10}{10}[/tex]

[tex]a=1[/tex]

Therefore, the required value of a is 1 units.

Answer:the one to the left

Step-by-step explanation:

Answer:

9 / 100 ; 0.09

Step-by-step explanation:

From the line plot given :

The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :

(Difference between any two successive labeled tick marks / number of tick marks)

Picking the labeled tick marks, 0 and 1/10

(1/10 - 0) / 10

1 / 10 ÷ 10

1/ 10 * 1 / 10 = 1 / 100

To find the marked point : (this is tick mark 9 from 0) ;

Number of ticks * distance between ticks

Location of marked tick = 1 / 100 * 9 = 9 / 100

Decimal equivalent = 9/100 = 0.09

Answer:

a= $29,505. it. is useful answer

Answer:

( 1, 3)

Step-by-step explanation:

4x+y=7 * 2 = 8x + 2y = 14

 8x + 2y = 14

- 3x + 2y = 9

--------------------

 5x = 5

   x = 1

Now substitute x into the equation for 1

8*(1) + 2y = 14

8 + 2y = 14

2y = 6

y = 3

Answer:

39

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

8×19= 152  

1 : 4.5  

152×4.5=684  

Answer:

96 cm^2

Step-by-step explanation:

the diagonal bisect in the point of intersection, so their length is 12 cm and 16 cm

Area = (12 * 16)/2 = 96 cm^2

Answer:

24 cm^2

Step-by-step explanation:

rhombus -.-

The answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

Here, in graph we have,

at (-3,0) and ( 2,0) the quadratic crosses the x-axis.

And, at -3 & 2  the value of y is zero.

Hence, the answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

To learn more on zeros & x-intercepts of quadratic function click:

https://brainly.com/question/28822774

#SPJ2

Answer:

1733.28 Square inches

Step-by-step explanation:

2(3.14)(6^2)+2(3.14)(6)(40)= 1733.28

r = radius (which is 6 in. Because radius is half of circumference and the circumference is 12 in.)

h = height of cylinder (which is 40 in. Shown in the diagram)

Answer:

1733.28 square inches

Step-by-step explanation:

Hi there!

What we know:

1) Determine the radius of the base (r)

The radius is equal to half the diameter. Given the diameter 12 in., we know that the radius would be 6 in.

Radius = 6

2) Plug all values into the SA equation and solve

[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi (6)^2+2\pi (6)(40)\\SA=2\pi (36)+2\pi (240)\\SA=72\pi+480\pi\\SA=552\pi\\SA=552(3.14)\\SA=552(3.14)\\SA=1733.28[/tex]

Therefore, the surface area of the cylinder is 1733.28 square inches.

I hope this helps!

Answer:

The value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

Step-by-step explanation:

Given that our school is selling T-shirts and sweatshirts as a fundraiser, and one student buys 2 Tt-shirts and 2 sweatshirts for $ 26, while another student buys 1 T-shirt and 3 sweatshirts for $ 33, to determine the value of the T-shirts and sweatshirts the following calculation must be made:

2X + 2Y = 26

X + 3Y = 33

Y - X = 7

2 x 3 + 2 x 10 = X

6 + 20 = X

26 = X

Therefore, the value of each T-shirt is $ 3 and the value of each sweatshirt is $ 10.

Answer:

$120

$48

Step-by-step explanation:

total amount Jin spent = cost of bicycle + cost of helmet

$149 + $19 = $168

This equation can be derived from the question :

1.4 x t = 168

where t = total cost Stephan spent on the helmet and bicycle

t = 168/1.4 = $120

Profit = selling price - cost price

$168 - $120 = $48

Answer:

[tex]d. \: \: 66[/tex]

Step-by-step explanation:

[tex]r + 63 \div t \times 3[/tex]

[tex]45+63÷9 \times 3[/tex]

[tex]45+7 \times 3[/tex]

[tex]45 + 21[/tex]

[tex]66[/tex]

Answer:

4/5

Step-by-step explanation:

From the above question, we are given the number of people who like a particular flavor.

The number of people who like:

Vanilla = 36

Strawberry = 45

Therefore, the ratio of the people who prefer vanilla to the people who prefer strawberry is written as

Vanilla : Strawberry

= 36:45

= 4:5

= 4/5

Therefore, option B = 4/5 is the correct option

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

Answer:

[tex] \displaystyle 8[/tex]

Step-by-step explanation:

we would like to compute the following limit

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) [/tex]

if we substitute 16 directly we'd end up

[tex] \displaystyle = \frac{16 - 16}{ \sqrt{16} - 4} [/tex]

[tex] \displaystyle = \frac{0}{ 0} [/tex]

which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right) [/tex]

simplify which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right) [/tex]

we can reduce fraction so that yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right) [/tex]

[tex] \displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right) [/tex]

now it's safe enough to substitute 16 thus

substitute:

[tex] \displaystyle = \sqrt{16} + 4[/tex]

simplify square root:

[tex] \displaystyle = 4 + 4[/tex]

simplify addition:

[tex] \displaystyle = 8[/tex]

hence,

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8[/tex]

Answer:

f(4) =22

Step-by-step explanation:

f(x)=3x+10

Let x=4

f(4)=3*4+10

    Multiply

f(4) =12+10

Add

f(4) =22

Answer:

[tex]f(4 )= 22[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 10[/tex]

[tex]f(4) = 3(4) + 10[/tex]

[tex]f(4) = 3 \times 4 + 10[/tex]

[tex]f(4) = 12 + 10[/tex]

[tex]f(4 )= 22[/tex]

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

Answer:

49 in the first box and 7 in the second one

25 in the 3rd box and 5 in the 4th

Answer:

Step-by-step explanation:

Total hours:

Answer:

2 fl oz

Step-by-step explanation:

2 tbsp = 1 fl oz. Simply double.

Answer:

125 M so that you answer

Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

Answer:

6 friends

Step-by-step explanation:

Take 1/7 multiply by 5/6

9514 1404 393

Answer:

  7 friends

Step-by-step explanation:

3 pizzas will give 3/7 of a pizza to each of ...

  3/(3/7) = 3 · 7/3 = 7 . . . friends

7 friends ate the pizza.

_____

We assume that Sunaina and her 6 friends constitute 7 friends.