For what values of A the following expressions are true

If AB = 10, AD = 8, and AE = 12, what is the length of EC?

Karolina [17]

Answer:

AB is 16 units.

Step-by-step explanation:

Given:

AE = EC

BF = FC

EF = 8 and DF = 10

To Find:

AB = ?

Solution:

Mid Point Theorem:

The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".

AE = EC .....Given

Therefore E is the Mid Point of AC.

BF = FC .....Given

Therefore F is the Mid Point of BC.

Therefore,

EF || AB ........................Mid Point Theorem.

..............Mid Point Theorem.

Substituting the values we get

Therefore AB is 16 units.

Step-by-step explanation:

6 0

3 years ago

there are 6 times as many dogs as cAts. if tje total number of dogs and cats is 21 how many dogs are tjrre

frez [133]

There are 18 dogs. You do 21/7.

5 0

3 years ago

Use the slope formula to find the missing coordinate: R(0,_), S(-4,2) m=5

Delicious77 [7]

Answer

The missing value is 22

step-by-step explanation

The slope formula is

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the question,

m=5

$x_2=-4$

$y_2=2$

and

$x_1=0$

We substitute these values to get,

$5= \frac{2 - y_1}{ - 4- 0}$

Simplify

$5= \frac{2 - y_1}{ - 4}$

$5 \times - 4=2 - y_1$

$- 20=2 - y_1$

$- 20 - 2=- y_1$

$22= y_1$

$y_1 = 22$

The missing value is 22

5 0

3 years ago

Use always, sometimes or never to make a true statement:

viva [34]

Answer:

1. Intersecting lines are always coplanar

2. Two planes never intersect in exactly one point

3. Three points are always coplanar

4. A plane containing two points of a line always contains the entire line

5. Four points are sometimes coplanar

6. Two lines never meet in more than one point.

7. Two skew lines are never coplanar

8. Line TQ and Line QT are always the same line.

Step-by-step explanation:

Note: Coplanar means "In the same plane"

1. Each line exist in many planes. But different lines must share at least one plane for them to intersect. That is why intersecting lines are always coplanar.

2. Two planes never intersect at exactly one point because only lines intersect at a point. Planes can only intersect along a line.

3.Three points are always coplanar because in geometry, a group of points are coplanar because there is a geometric plane that they all lie on.

4. A plane containing two points of a line always contains the entire line. Yes

5. Four points are only sometimes coplanar because there is a probability that they may all not lie on the same plane

6. Two lines never meet in more than one point because lines are basically straight and cannot bend over to intersect at another point

7. Two skew lines are never coplanar because skews lines are lines that do not intersect and are never parallel.

8. Line TQ and Line QT are always the same line because a line is straight and extends from one point to the other. So, if a line is labelled TQ calling it QT means the same thing

4 0

3 years ago

The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t,

coldgirl [10]

Answer:

4 seconds

Step-by-step explanation:

When the ball is on the ground h = 0, hence

- 16t² + 64t = 0 ( solve for t )

factor out - 16t

- 16t(t - 4) = 0

equate each factor to zero and solve for t

- 16t = 0 ⇒ t = 0

t - 4 = 0 ⇒ t = 4

the 0 solution is the height of the ball before being hit and

the time the ball takes to hit the ground is 4 seconds

6 0

3 years ago