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
miv72 [106K]
3 years ago
9

Help, I don't remember​

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

  x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

  x/60 = 60/25

Multiply by 60 to find x:

  x = (60·60)/25

  x = 144

_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

  60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

You might be interested in
How many vertices has a triangular pyramid and a triangular prism<br>​
Grace [21]

A triangular pyramid has 4 vertices and triangular prisms 6 vertices

8 0
3 years ago
IM SO LOST PLEASE HELP
LiRa [457]
Check the picture below.

\bf \textit{lateral area of a cone}\\\\&#10;LA=\pi r\stackrel{slant-height}{\sqrt{r^2+h^2}}~~&#10;\begin{cases}&#10;LA=539\pi \\&#10;r=49&#10;\end{cases}\implies 539\pi =\pi 49\sqrt{r^2+h^2}&#10;\\\\\\&#10;\cfrac{539\pi }{49\pi }=\sqrt{r^2+h^2}\implies 11=\sqrt{r^2+h^2}

3 0
3 years ago
Pls help me do this
natali 33 [55]

Answer:

Should be SY and ZY or ST and ZX

Step-by-step explanation:

3 0
2 years ago
What is the value of f(-6) when f(x) =x^2+8x+10?
Margarita [4]

Answer:

-2

Step-by-step explanation:

f(-6)=x^2+8x+10

f=(-6)^2+8(-6)+10

f=36-48+10

f(-6)=-2

7 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!
pav-90 [236]

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

  • a_1=1
  • a_n=3a_{n-1}+2

First five terms of the sequence:

a_1=1

a_2=3a_1+2=3(1)+2=5

a_3=3a_2+2=3(5)+2=17

a_4=3a_3+2=3(17)+2=53

a_5=3a_4+2=3(53)+2=161

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the height of the light pole?
    7·1 answer
  • Four friends stay at the Pickled Parrot Hotel for a night and each
    12·1 answer
  • a chef at a steakhouse has 187 1/2 pounds of sirloin steak if each portion is 12 1/2 ounces how many sirloin steak can be served
    10·1 answer
  • A cube has a surface area of 96 square inches. What is the volume of the cube
    9·1 answer
  • A tax form asks people to identify their age, annual income, number of dependents, and social security number. For each of these
    9·1 answer
  • What is the GCF of 120, 36
    12·2 answers
  • Please help fast! Use the model to solve for x.
    10·1 answer
  • I need help on the question number 12
    11·2 answers
  • ANSWER ASAP!! WILL MARK BRAINLIEST!
    6·1 answer
  • find the slope of the line passing through the pair of points or state that the slope is undefined. then indicate whether the li
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!