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2 years ago

Find the value of c and YZ if Y is between X and Z. X Y = 5 . 5 , Y Z = 2 c , X Z = 8 . 9

Mathematics

1 answer:

e-lub [12.9K]2 years ago

6 0

The measure of YZ is 3.4 cm and the measure of c is 1.7 cm.

Given that, Y is between X and Z. XY = 5.5 , YZ = 2c , X Z= 8.9.

We need to find the value of c and YZ.

<h3>What is a line segment?</h3>

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions. In this lesson, we will learn more about a line segment, its symbol, and the way to measure a line segment.

Now, YZ=XZ-XY

⇒2c=8.9-5.5

⇒2c=3.4 cm

⇒c=1.7 cm

Therefore, the measure of YZ is 3.4 cm and the measure of c is 1.7 cm.

To learn more about the line segment visit:

brainly.com/question/25727583.

#SPJ1

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If P is between L and A, PL = 6x + 24, PA = 12x - 6 and LA = 30x - 18, then x = ______ and LA = ___&&

levacccp [35]

To solve this problem, we have to use the definition of segment addition.

$LA=PL+PA$

Then, we replace the given expressions

$30x-18=6x+24+12x-6$

Now, we solve for <em>x</em>.

$\begin{gathered} 30x-6x-12x=24-6+18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}$ <h2>Hence, x = 3.</h2>

Let's find LA:

$30x-18=30\cdot3-18=90-18=72$ <h2>Hence, LA measures 72 units.</h2>

7 0

1 year ago

In a certain lake, trout average 12 in. in length with standard deviation 2.75 in. and the bass average 4 lb. in weight with sta

NISA [10]

Answer:

The bass fish was the better catch

Step-by-step explanation:

From the question we are told that

The population mean for trout is $\mu_1 = 12 \ in$

The standard deviation is $\sigma_1 = 2.75 \ in$

The population mean for base is $\mu _2 = 4 \ lb$

The standard deviation is $\sigma_2 = 0.8 \ lb$

The number of trout caught $x_1 = 18$

The number of bass caught $x_2 = 6$

Generally z-value(standardized value ) for the of number trout caught is mathematically represented as

$z_1 = \frac{x_1 - \mu_1}{\sigma_1 }$

substituting value

$z_1 = \frac{18 - 12}{2.75 }$

$z_1 = 2.18$

Generally z-value(standardized value ) for the of number bass caught is mathematically represented as

$z_2 = \frac{x_2 - \mu_2}{\sigma_2 }$

substituting value

$z_2 = \frac{6 - 4}{0.8 }$

$z_2 = 2.5$

From our calculation we see that $z_2 > z_1$

The fish that was the better catch is the bass fish

3 0

3 years ago

Recite pi to the 20th digit please.

Charra [1.4K]

$\pi=3.14159265358979323846\ (21\ digits)$

4 0

3 years ago

Read 2 more answers

Fill in the blanks to make an arithmetic sequence

Arlecino [84]

-----------------------------------------
General Equation:
-----------------------------------------
$T_n = a_1 + d(n - 1)$

-----------------------------------------
Find d :
-----------------------------------------
$a_1 = 11, T_7 = 79,$
$T_7 = 11 + d(7 - 1)$
$-79 = 11 + 6d$
$6d = -79 - 11$
$6d = -90$
$d = -15$

-----------------------------------------
Find general equation :
-----------------------------------------
$T_n = 11 + (-15)(n - 1)$
$T_n = 11 -15n + 15$
$T_n = 26 -15n$

-----------------------------------------
Find the sequence :
-----------------------------------------
$T_1 = 26 - 15(1) = 11$
$T_2 = 26 - 15(2) = -4$
$T_3 = 26 - 15(3) = -19$
$T_4 = 26 - 15(4) = -34$
$T_5 = 26 - 15(5) = -49$
$T_6 = 26 - 15(6) = -64$
$T_7 = 26 - 15(7) = -79$

---------------------------------------------------------
Answer: 11, -4, -19, -34, -49, -64, -79
---------------------------------------------------------

4 0

3 years ago

Y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2

miss Akunina [59]

Answer:

y = 2/9

Step-by-step explanation:

y=x²

y=kx²

2= k(6)²

2= 36k

k= 1/18

The connecting formula is

y= 1/18x²

when y=? , x=2

therefore,

y= 1/18x²

y= 1/18(2)²

y= 1/18(4)

y= 2/9

8 0

3 years ago

Read 2 more answers