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3 years ago

I’m confused on this one

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

Call M the midpoint. The coordinate of this point is given by....

M=(x1+x2 /2, y1+y2 /2)

So (3,7)=(x1+0 /2, y1+ -5 /2). or

3= x1/2. or x1=6 and

7=y1-5 /2. or 14=y1-5 or y1=19

B is at the point (6,19)

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The three angles of a triangle are in the ratio 5:4:1. Find all the angles of the triangle.

solniwko [45]

Answer:

Step-by-step explanation:

let the first angle be 5x

second be 4x

and third be 1x

as we know that by adding all the sides of triangle we get 180°

therefore ,

5x+4x+1x=180°

10x=180°

hence ,

x=18°

first angle - 18*5 = 90°

second angle - 18*4=72°

third angle - 18°

HOPE THIS HELPS YOU !!!

6 0

3 years ago

Read 2 more answers

in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y

Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂) = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

= 7 - 3

= 4

Hence, the value of x₂ + y₂ = 4

4 0

3 years ago

What is the area of rectangle abcd with 12 in length and 4 in width

nikitadnepr [17]

Answer: It would be

A=48

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3 years ago

Read 2 more answers

Jason and Britton are driving to St. George. Jason got a 20 mile head start and drove an

harina [27]

Answer:

2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

closure time = separation distance / closure speed = 20 mi / (10 mi/h)

closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

3 0

1 year ago

The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a

Lilit [14]

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

<u></u>

<u>Formulae</u>

Circumference of a circle = 2 $\pi$ r
Area of a circle = $\pi$ r²

(where r is the radius of the circle)

<u>Find the radius</u>

circumference = 96 m

Using the circumference of a circle formula:

⇒ 2 $\pi$ r = 96

⇒ $\pi$ r = 96 ÷ 2 = 48

⇒ r = 48 ÷ $\pi$ = 48/ $\pi$

radius r = 48/ $\pi$

Using the area of a circle formula:

⇒ A = $\pi$ r²

⇒ A = $\pi$ (48/ $\pi$ )²

⇒ A = 2304/ $\pi$

⇒ A = 733.3859778...

⇒ A = 733 m² (to the nearest meter)

6 0

3 years ago