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3 years ago

What are the degrees a trapezoid has?

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

360 degrees is the answer of how many degrees a trapezoid has.

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1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.

kkurt [141]

1. The values of p and q are: p=31 and q= 4

2. B(11, 29/5)

Further explanation:

1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.

Given:

M = (15. 1)

(x1, y1) = (p, -2)

(x2, y2) = (-1, q)

The formula for mid-point is:

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2}) = M \\Putting\ the\ values\\(\frac{p-1}{2} , \frac{-2+q}{2}) = (15,1)\\Putting\ realtive\ values\ equal\\\frac{p-1}{2} = 15\\p-1 = 15(2)\\p-1 = 30\\p = 30+1\\p = 31\\\frac{-2+q}{2} =1\\-2+q = 2(1) \\-2+q = 2\\q = 2+2 \\q =4$

Hence,

p=31

q=4

2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.

Here,

(x1,y1) = (3, 1/5)

(x2, y2) = ?

M(x,y) = (7,3)

Putting values in the formula of mid-point

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2}) = M\\(\frac{3+x_2}{2} , \frac{1/5+y_2}{2}) = (7,3)\\\frac{3+x_2}{2} = 7\\3+x_2 = 7*2\\3+x_2 = 14\\x_2 = 14-3\\x_2 = 11\\\frac{\frac{1}{5}+y_2}{2} = 3\\{\frac{1}{5}+y_2} = 3*2\\{\frac{1}{5}+y_2} = 6\\y_2 = 6 - \frac{1}{5}\\y_2 = \frac{30-1}{5}\\y_2 = \frac{29}{5}$

So, the coordinates of point B are (11, 29/5) .

Keywords: Finding mid-point, Finding coordinates through mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

6 0

3 years ago

The town of madison has a population of 25,000. The population is increasing by a factor of 1.12 each year. Write a function tha

GaryK [48]

<h3>The population P(t) at the end of year t is $P(t) = 25,000 \times (1.12)^t$ </h3>

Step-by-step explanation:

The initial population of town of Madison = 25,000

The rate at which the population is increasing = 1.12 times

So, the increase in population first year :

( the initial population) x $(1.12)^1$ = 1.12 x ( 25,000)

= 28,000

So, the population at the end of first year = 28,000

Similarly, the increase in population second year :

( the initial population) x (1.12)² = ( 25,000) x (1.12)²

= 31,360

So, the population at the end of second year =31,360

Now, to calculate the population in t years from now:

The population P(t) at the end of year t is

$P(t) = 25,000 \times (1.12)^t$

5 0

3 years ago

What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) ?(4,−1)? Write your answer in simplest

Anika [276]

Answer:

The slope is 6/9.

Step-by-step explanation:

The equation used to calculate the slope from two points is:

(y2 - y1) ÷ (x2 - x1) =

It doesn't matter which x or y you choose to be first since you'll get the same answer. (For me, it's easier to go with the bigger number as the second x & y, so that's what I did.)

(-1 - -7) ÷ (4 - -5) = 6/9

7 0

3 years ago

Read 2 more answers

Can someone plz help me with this

Anna007 [38]

I’m not sure that this is 100% right but i would do tan37° x 12 to get: -10.1

7 0

3 years ago

25/23 writen as a decimal and in simplist form.

kolezko [41]

The decimal is about 1.1 and you can’t simplify it