Can someone help me

Answer:

[tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]

Step-by-step explanation:

In the right triangle shown, two right triangles are inscribed in a third right triangle, with all three triangles sharing an altitude. Thus, all three right triangles are similar.

The second portion asks to draw them so that their corresponding sides and angles have the same orientation. I can't demonstrate that here but here are some tips:

Here is an example of the drawing portion from the CK-12 Foundation:

Answer:

Solution given:

In triangle LMK and triangle LKJ

<LMK=<JMK[ being right angle]

<MLK=<JLK[common angle]

<MKL=<LJK[remaining angle]

so

∆MLK~ ∆MLJ[By A.A.A.axiom]

∆MLK is similar to ∆MLJ

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

Answer:

Hi, there your answer will be 3(x−1)(x+4)

Step-by-step explanation:

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

x > 22

Step-by-step explanation:

Given the inequality;

52- 3x < -14

Subtract 52 from both sides

52 - 3x - 52 < -14 - 52

-3x < -14 - 52

-3x < -66

Divide both sides by -3

-3x/-3 < -66/-3

x > 22

Hence the required inequality is x > 22

Answer:

forma is h * w / 2 and y and x have no value because there are no numbers to calculate.

Step-by-step explanation:

hope this helps!!!!!

Answer:

h * w/2 OR (base * height) / 2

/ = divide

* = multiply

Step-by-step explanation:

Answer:c.texture

Step-by-step explanation:

Answer:

$31.50

Step-by-step explanation:

3j = $94.50

 j = 94.50 / 3

 j = $31.50

Answer:

(3p+10q)

Step-by-step explanation:

9p^2 - 100q^2

Rewriting

(3p)^2 - (10q)^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3p-10q) (3p+10q)

Answer:

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)

Answer:

Step-by-step explanation:

The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:

4x - 18 = 0   and   -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.

4x = 18 so

x = 9/2.

-2x = -k so

x = k/2. If the x-intercepts are the same value, then

[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,

k = 9

Answer:

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]

36 + 64 =[tex]AC^{2}[/tex]

100=[tex]AC^{2}[/tex]

[tex]\sqrt{100[/tex] =AC

10=AC

Answer:

(1/4)(1/4) = 1/16

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

Learn more about Plane here:

https://brainly.com/question/1962726

#SPJ7

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Answer:

3

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(2/3) X (6^3) X 3.14 = 452.16 cm^3

1 cm = 1 gram

452.16g

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer:

6^2

Step-by-step explanation:

it is a division between two power with the same base, so we have to subtract the exponents

6^(6-4) = 6^2

Answer:

36

Step-by-step explanation:

6^6/ 6^4

46656/1296

36

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Answer:

18

Step-by-step explanation:

38 drink tea but 20 drink tea only.

38-20 =18 drink tea.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————-　★　————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

40.03

Step-by-step explanation:

Answer:

distance = 13 units

Step-by-step explanation:

(-2 , -6)=(x1 , y1)

(-7 , 6)=(x2 , y2)

distance formula:

=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]

=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]

=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]

=[tex]\sqrt{25+144}[/tex]

=[tex]\sqrt{169[/tex]

=13 units

Answer:

The total time spent in walking is [tex]\frac {15}{2x}[/tex].

Step-by-step explanation:

The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.

Total distance covered by John = 10 miles

Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.

Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.

So,

[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]

The total time spent in walking is

[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]