All categories

3 years ago

If M and N are midpoints in a diagram below, determine values for x and y

Mathematics

2 answers:

lianna [129]3 years ago

5 0

Research scientists use a standard practice called the _____ method to help them understand phenomena.

mezya [45]3 years ago

5 0

In a triangle the midline joining the midpoints of two sides is parallel to the third side and half as long ⇒
AС = 2*MN
3x + 10 = 2(x+5)
3x + 10 = 2x + 10
3x - 2x = 10 - 10
x = 0

M is a midpoint of AB ⇒
AM = BM
3y - 8 = 2(y+1)
3y - 8 = 2y + 2
3y - 2y = 2 + 8
y = 10

You might be interested in

A store has a 28% off sale on hammers. Before the discount, the price of a hammer is $49. What is the sale price?

zheka24 [161]

28% of 49 is 13.72. So subtract that from 49 and you get 35.28. 35.28 is the price after the sale

5 0

2 years ago

Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.

Arturiano [62]

Answer:

A. When Rita started, she had 7 packages of saplings.

B. If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of packages Rita started = x

Number of saplings per package = 5

Number of saplings planted by Rita = 15

Number of saplings left = 20

2. How many packages of saplings did she start with?

Number of packages Rita started = (Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

Replacing with the real values:

x = (15 + 20)/5

x = 35/5 = 7

When Rita started, she had 7 packages of saplings.

3. What would the solution look like on a number line graph?

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

5 0

3 years ago

Outline the process for Inscribing an equilateral triangle in a circle. Perform the construction in GeoGebra, and take a

mezya [45]

Answer:

I don't use Geogebra, but the following procedure should work.

Step-by-step explanation:

Construct a circle A with point B on the circumference.

Use the POINT and SEGMENT TOOLS to create a circle with centre B and radius BA.
Use the POINT tool to mark points D and E where the circles intersect.
Use the SEGMENT tool to draw segments from C to D, C to E, and D to E.

You have just created equilateral ∆CDE inscribed in circle A.

5 0

2 years ago

The population of a particular type of bacteria is known to triple in 22 days. What is the daily growth rate

Paul [167]

Answer: ∛(3)

Step-by-step explanation:

Suppose that at day 0 the population was A.

at day 3, the population will be: 3*A

at day 6, the population will be 3*(3*A) = A*3^2

then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:

P(N) = A*3^n

Particularly, if we take n = 1/3 we will have:

N = 3*1/3 = 1

This means that this is the first day after the day 0.

P(1) = A*3^(1/3)

(then in day one, the population grow by a factor of 3^(1/3))

N = 2 is when n = 2/3, then:

P(2) = A*3^(2/3)

The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.

A*3^(2/3)/(A*3^(1/3)) = 3^( 2/3 - 1/3) = 3^(1/3)

So we found that the daily growth rate is 3^(1/3) or ∛(3)

3 0

3 years ago

The floor of a shed has an area of 108 ft. The floor is a rectangle whose length is 6 feet less than twice the width. Find the w

Lesechka [4]

A = L x W

A = 108

108 = L x W

L = 2w - 6

108 = (2w-6) (W)

7 0

3 years ago