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Helen [10]
2 years ago
10

Sssssssssssssssssssssssssssssssssssssssssssssssssssss

Mathematics
1 answer:
natta225 [31]2 years ago
5 0

Answer:

C. 19

Step-by-step explanation:

Since VZ = ZY, VW = WX therefore we can apply the midpoint theorem where a midpoint line is half of the base line.

Thus:

\displaystyle \large{ZW = \frac{1}{2}YX}\\\displaystyle \large{3x-5 = \frac{1}{2}(5x-2)}

Then multiply both sides by 2 to get rid of the denominator and solve for x.

\displaystyle \large{(3x-5)2= \frac{1}{2}(5x-2)2}\\\displaystyle \large{6x-10= 5x-2}\\\displaystyle \large{6x-5x=-2+10}\\\displaystyle \large{x=8}

Since we want to find the midpoint line or WZ, substitute x = 8 in 3x-5

\displaystyle \large{ZW = 3x-5}\\\displaystyle \large{ZW = 3(8)-5}\\\displaystyle \large{ZW = 24-5}\\\displaystyle \large{ZW =19}

Therefore, ZW = 19

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It is a rectangle and I need to get x and the top is -1+4x and the bottom is 3x+3 I’m in 8th grade geometry
Andrej [43]

The value of x is 4.

Step-by-step explanation:

Consider a Rectangle ABCD

AB as Top

CD as Bottom

AB = -1 + 4x

CD = 3x + 3

To Find:

x = ?

Solution:

In a Rectangle ABCD

Opposite sides of rectangle congruent,

AB = CD

Top = Bottom

on substituting we get

-1+4x=3x+3\\\\4x-3x=3+1\\\\x=4\\\therefore x =4

The value of x is 4.

4 0
3 years ago
Find the length x.<br> х<br> 14 cm<br> 70°
adoni [48]

Answer:

14.90cm [a]

Step-by-step explanation:

To find x, we will apply " sine rule"

that is, sinA/a=sinB/b

here a= x A=90° B=70°anb b =14cm

so we input the values we have

1/x =0.94/14

cross multiply,

0.94x = 14

x = 14/0.94

=14.90cm

             

3 0
3 years ago
What is 7x^2-7x-42 in factored form
SOVA2 [1]

Answer:

7(x−3)(x+2)

Step-by-step explanation:

3 0
3 years ago
The angle 01 is located in Quadrant IV, and sin(01) = -24/ 25<br><br> What is the value of cos(01)?​
pav-90 [236]

Answer:

\frac{7}{25}

Step-by-step explanation:

We can solve that using this identity,

\sin {}^{2} (x)  +  \cos {}^{2} (x)  = 1

plug in -24/25 from x in sin

\sin {}^{2} ( \frac{ - 24}{25} )  +  \cos {}^{2} (x)  = 1

\sin( \frac{576}{625} )  +  \cos {}^{2} (x)  = 1

\cos {}^{2} (x)  =  1 -  \frac{576}{625}

\cos {}^{2} (x)  =  \frac{49}{625}

\cos(x)  =  \frac{7}{25}

Since cos is positve in quadrant 4, the answer is 7/25.

4 0
3 years ago
Read 2 more answers
Use the formula for continuous compounding to compute the balance in the account after 1,5, and 20 years. Also, find the APY for
densk [106]

Answer:

After 1 year: $7,256.59

After 5 years: $8,380.52

After 20 years: $14,381.03

APY = 3.66%

Step-by-step explanation:

If you deposit $7000 with an interest of 3.6%, after 1 year using continuous compounding, you will have

7000e^{0.036}=7,256.59

After 5 years you will have

7000e^{5(0.036)}=8,380.52

After 20 years

7000e^{20(0.036)}=14,381.03

To find the APY for the account, we have to compute the interest earned in one year.

We can do it by cross multiplying or by finding a number x such that

7000(1+\frac{x}{100})=7,256.59

Operating on this equation we obtain

x = 0.0366 or 3.66%

7 0
3 years ago
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