All categories

3 years ago

D is the centroid. Find Q D if DK =6.5.

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

QD = 13

Step-by-step explanation:

According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.

By this we can deduce that:

QD = ⅔(QD + DK)

Substitute

QD = ⅔(QD + 6.5)

Multiply both sides by 3

3*QD = 2(QD + 6.5)

3QD = 2QD + 13

Subtract both sides by 2QD

3QD - 2QD = 13

QD = 13

You might be interested in

1. The equation c = 2.95g shows how much it costs to buy gas at a gas station on a

Karolina [17]

Answer:

see the procedure

Step-by-step explanation:

we have

$c=2.95g$

where

c -----> the cost in dollars

g ----> the number gallons of gas purchased

1) For g=1 gal

substitute the value of g in the equation and solve for c

$c=2.95(1)$

$c=\$2.95$

The pair (1,2.95) fit the relationship

2) For g=3 gal

substitute the value of g in the equation and solve for c

$c=2.95(3)$

$c=\$8.85$

The pair (3,8.85) fit the relationship

3) For g=5 gal

substitute the value of g in the equation and solve for c

$c=2.95(5)$

$c=\$14.75$

The pair (5,14.75) fit the relationship

4) For c=$20.65

substitute the value of c in the equation and solve for g

$20.65=2.95g$

$g=20.65/2.95$

$g=7\ gal$

The pair (7,20.65) fit the relationship

7 0

3 years ago

An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.

____ [38]

Earlier, The length of the angelfish = $1 \frac{1}{2}$ inches

Now, the length of angelfish = $2 \frac{1}{3}$ inches

We have to determine the grown length of angelfish

= $2 \frac{1}{3}$ - $1 \frac{1}{2}$

= $\frac{7}{3}- \frac{3}{2}$

LCM of '2' and '3' is '6',

= $\frac{14-9}{6}$

= $\frac{5}{6}$ inch

Therefore, the angelfish has grown by $\frac{5}{6}$ inch.

We have to determine the increased length of angelfish in feet.

Since $1 inch = \frac{1}{12}$ foot

So, $\frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}$

= 0.069 foot.

7 0

3 years ago

Read 2 more answers

Use the substitution method to solve the given system of equations.

Andreyy89

Answer:

c is correct option. (5,0) .Hope this helps you.

7 0

3 years ago

How many solutions does the nonlinear system of equations graphed below

vampirchik [111]

Answer:

D. Four

Step-by-step explanation:

Ap3x

4 0

3 years ago

the measures of two complementary angles have a ratio of 3 : 7. Set up and solve an equation to determine the measurements of th

Gala2k [10]

Complementary angles add up to 90 degrees

3 : 7....added = 10

3/10 * (90) = 270/10 = 27
7/10 * (90) = 630/10 = 63

5 0

4 years ago