The length of a rectangle is 9 inches and its perimeter is 48 inches. What is the width of the rectangle?

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz plzz anyoneee

kramer

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that $x^{2} =pz$

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles

and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

$\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}$

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

$\frac{x}{z}= \frac{p}{x}$

Cross multiply

$x^{2}=pz$

Hence proved.

7 0

3 years ago

Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport

s344n2d4d5 [400]

Answer:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3420,495)$

Where $\mu=3420$ and $\sigma=495$

We are interested on this probability

$P(2450$

And we can use the z score formula given byÑ

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(2450$

And we can find this probability with this difference:

$P(-1.96$

If we use the normal standard table or excel we got:

$P(-1.96$

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0

3 years ago

Which phrase describes the perpendicular distance between two bases of a cylinder

Nonamiya [84]

4) The height of the cylinder

5 0

3 years ago

Read 2 more answers

-x + 2y = 3 2x – 3y = -6

s2008m [1.1K]

Answer:

x = -3

y = 0

Step-by-step explanation:

Given equations :- 

-x + 2y = 3 ....... ( i )

2x - 3y = -6 ....... ( ii )

From ( i ) 

-x + 2y = 3

-x = 3 - 2y

x = 2y - 3 ........ ( iii )

From ( ii ) 

2x - 3y = -6

2x = -6 + 3y

$x = \frac{ - 6 + 3y}{2}$

........ ( iv )

Equating ( iii ) and ( iv )

x = x

$2y - 3 = \frac{ - 6 + 3y}{2}$

4y - 6 = -6 + 3y

4y - 3y = -6 + 6

y = 0

Putting value of y in ( iii )

x = 2y - 3

x = 2 ( 0 ) - 3

x = -3

4 0

3 years ago

Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the fut

lawyer [7]

Answer:

$C=10000(0.852)^t$

Step-by-step explanation:

Let the exponential function be,

$C=a(b)^t$

Here, C = cost of the car

t = Duration or period in years

From the given table,

Two points representing cost of the car and time are (10000, 0) and (8520, 1),

For (10000, 0),

$10000=a(b)^0$

a = 10000

For (8520, 1)

8520 = $10000(b)^1$

$b=\frac{8520}{10000}$

b = 0.8520

Therefore, exponential equation will be,

$C=10000(0.852)^t$

8 0

3 years ago