1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xz_007 [3.2K]
3 years ago
8

Suppose that LM=24. Use the triangle proportionality theorem to find PM

Mathematics
1 answer:
Nady [450]3 years ago
3 0

Answer: 14.4units

See attached for more information about the question.

Step-by-step explanation:

Given;

LM = 24

KN = 10

NM = 15

KM = 10+15 = 25

Using the Triangle proportionality theorem.

Since LK || PN (LK is parallel to PN)

KN/NM = LP/PM .....1

and

NM/KM = PM/LM ......2

Substituting the values into 2, we have

15/25 = PM/24

PM = 15 × 24/25

PM = 14.4 units

You might be interested in
A motorist travels between two towns. It usually takes 6 hours when travelling at a certain speed. He finds that if he reduces h
Roman55 [17]

Answer:

His usual speed is 105 km/hr.

Step-by-step explanation:

Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:

s =  d/6

s - 15 = d / (6 + 1)

from the first equation:

d = 6s and from the second:

d = 7(s - 15)

Eliminating d we get:

6s = 7(s - 15)

7s -  105 = 6s

s = 105.

5 0
3 years ago
(50 points and Brainiest
Scorpion4ik [409]

could you possibly make two zoomed in pictures?

its quite hard to see

7 0
3 years ago
A gym teacher has 250 to spend on volleyball, she buys for volleyball nets that cost $28 volleyballs are $7 each.how many volley
MaRussiya [10]

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. How many volley balls can she buy

Answer:

she can buy maximum of 19 balls.

Step-by-step explanation:

Let the number of volleyballs  be x

we know that

\text{(The cost of each volleyball net} \times \text{number of volleyball net)}+\text{(the cost of each volleyball} \times \text{number of volleyballs)}\leq \ 250

so substituting the values,

28(4) + 7x \leq 250

112 + 7x \leq 250

7x \leq 250 - 112

7x \leq 138

x \leq \frac{138}{7}

x \leq 19.7

3 0
3 years ago
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
Kobotan [32]

Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

4 0
3 years ago
Read 2 more answers
Graph the following points on the graphing calculator:
Lerok [7]
We are given the following coordinates: 

(0,6), (π/2, 7); (π, 8); (3π/2, 7); and (2π, 6)

If we graph these points, we will observe that the function is a cosine function. Since the function does not pass through the origin. Instead, it has a y-intercept equal to 6.  <span />
5 0
4 years ago
Read 2 more answers
Other questions:
  • Which is a focus of the hyperbola shown? (0, −26) (0, −24) (0, 25) (0, 30) BRAINLIESTT
    15·2 answers
  • What is the slope of the line described by the equation below?<br> y=10x2
    6·2 answers
  • A train travels at a constant speed of 75 mi/h. The function f(x) = 75x gives the distance that the train travels in x hours. Gr
    14·1 answer
  • Help ya girl with her math
    14·1 answer
  • 21 less then four times a number is the same as six times the number plus 11. What is the number
    13·2 answers
  • At a grocery store, Ayla buys 1 1/3 pounds of ground turkey.Tasha buys 2 times as much ground turkey as Ayla. How much ground tu
    11·2 answers
  • Is -3r + 137 equivalent to 6r - r + 8 (15 - r) + 23 - 6
    11·1 answer
  • Hey need help with the question please
    5·1 answer
  • Jada received a gift of $180. In the first week, she spent a third of the gift money. She continues spending a
    13·1 answer
  • 17
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!