All categories

2 years ago

Find the value of EB. A. 5 B. 11 C. 31 D. 25

Mathematics

1 answer:

ss7ja [257]2 years ago

8 0

Answer:

Option C. $31\ units$

Step-by-step explanation:

Observing the figure

The point E is the midpoint segment FA and the point B is the midpoint segment CD

therefore

$(1/2)(AD+FC)=EB$

substitute the given values and solve for x

$(1/2)(38+6x-6)=7x-4$

$(32+6x)=14x-8$

$14x-6x=32+8$

$8x=40$

$x=5$

Find the value of EB

$EB=7x-4$

substitute the value of x

$EB=7(5)-4=31\ units$

You might be interested in

The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t

liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

8 sin(x) tan2(x)

- We will first use reciprocal identities:

$8\frac{sin(x)}{cos^2(x)} - 8sin(x)$

- Now take LCM:

$8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}$

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

$8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}$

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

$8*sin(x)*tan^2(x)$

8 0

3 years ago

Read 2 more answers

Evaluate the expression for X=2 and y=4. enter your answer in the box.

kondaur [170]

Answer:

Step-by-step explanation:

8 0

2 years ago

If x = -3, then x 2 - 7x + 10 equals <br> 37 <br> 40 <br> 22

mash [69]

Gggggggggffffffffgg. It equals 1

8 0

1 year ago

Read 2 more answers

I need help please!!!!

frez [133]

Answer:

Step-by-step explanation:

Maybe A Emma, but how can we really know what Zhan, he could have any one of those in mind.. but not really figure it out with those straws :/

5 0

2 years ago

Please select the word from the list that best fits the definition

castortr0y [4]

Answer:

Hanukkah

hannukkah

8 0

2 years ago