In the figure lines s and t are parallel lines. which of the following statements is true. Select all that apply

What’s the correct answer for this?

Oxana [17]

Answer:

x = 5

Step-by-step explanation:

Since TV bisects (equally divides) EF hence <EKT = 90°

Also <EKT = 5x+65

So

5x+65 = 90

5x = 90-65

5x = 25

Dividing both sides by 5

x = 5

7 0

3 years ago

What is the missing expression that would make the left-hand-side of the equation equal to the right-hand-side?

o-na [289]

Given:

The equation is

$\dfrac{???}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}$

To find:

The missing value.

Solution:

Let the missing value be k.

$\dfrac{k}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}$

$\dfrac{k}{x-2}\times \dfrac{x^2-2(x)(2)+2^2}{x^2-1^2}=\dfrac{5(x-2)}{x-1}$

Using the formulae $(a-b)^2=a^2-2ab+b^2$ and $(a-b)(a+b)=a^2-b^2$ .

$\dfrac{k}{x-2}\times \dfrac{(x-2)^2}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}$

$\dfrac{k(x-2)}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}$

Cancel out the common factors from both sides.

$\dfrac{k}{x+1}=5$

Multiply both sides by (x+1).

$k=5(x+1)$

Therefore, the missing value is 5(x+1).

5 0

4 years ago

How to estimate 5 2/11- 3 2/18

Nimfa-mama [501]

Answer: The estimated value is: " 2.1 " .

__________________________________

Step-by-step explanation:

__________________________________

We are asked to "estimate" :

5 2/11 - 3/ 2/18 ;

Note: Consider: " 5 2/11 " ;

Note that: "2/11" is close to: "2/10" ; which can be expressed as a decimal value: "0.2 " ;

So, consider this value: "5 2/11 "; as estimated: " 5.2 " .

Now, consider: " 3 2/18 " ;

Note that : "2/18" can easily be reduced to: "1/9 ";

Since: "(2/18)" = "(2÷2) / (18÷2) " = "1/9 " ;

Note that "1/9" is close to "1/10" ; which can be expressed as a decimal value: "0.1 ".

So, consider: "3 2/18 " ; as estimated: " 3.1 " .

__________________________________

So: To estimate: " 5 2/11 - 3 2/18 " ;

__________________________________

Use the following: "5.2 - 3.1 " ;

__________________________________

5.2

- 3. 1

__________________________________

" 2.1 "

___________________________________

The estimated value is: " 2.1 " .

___________________________________

Hope this is helpful to you!

___________________________________

8 0

3 years ago

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies tha

inysia [295]

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

3 0

3 years ago

Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x 2+ 9 h(x) = 3x - 14

Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88 3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86 add since you are subtracting a negative number

4 0

3 years ago