All categories

2 years ago

Which of the following is the correct name for LM in ABC below

Mathematics

2 answers:

Lena [83]2 years ago

6 0

FM is midsegment of triangle ABC

Answer

C. Midsegment

Irina-Kira [14]2 years ago

5 0

Answer:

C) midsegment

Step-by-step explanation:

An angle bisector cuts an angle in half. LM does not do this.

An altitude extends from a vertex perpendicular to the opposite side. LM does not do this.

A midsegment goes from the midpoint of one side to the midpoint of another side. LM does this.

A perpendicular bisector splits a side in half, forming a right angle. LM does not do this.

You might be interested in

What is the value of x in following system? y=3x-5 6x+3y=15

Simora [160]

I think x = 2, but im sorry if thats wrong

5 0

2 years ago

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the

Alik [6]

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation $y=-10x+17$ , ie is always decreasing (easy to spot applying the definition)

Meanwhile, $y=e^{5x}$ is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation $y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2$ which has no real solutions.

8 0

2 years ago

What is the value of x in the figure below? In this diagram, △ABD~△CAD.

morpeh [17]

Given:

Given that the triangles ABD and CAD are similar.

The length of AB is 12.

The length of BD is x.

The length of AC is 27.

We need to determine the value of x.

Value of x:

Let us use the leg rule to determine the value of x.

Thus, we have;

$\frac{BC}{AB}=\frac{AB}{BD}$

Substituting the values, we get;

$\frac{27}{12}=\frac{12}{x}$

Cross multiplying, we get;

$27x=12\times 12$

$27x=144$

Dividing both sides by 27, we have;

$x=\frac{16}{3}$

Thus, the value of x is $\frac{16}{3}$

Hence, Option D is the correct answer.

7 0

2 years ago

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How

Paul [167]

To mix cleaner and water you need to divide the bucket's capacity into 4.It's easy in this case as gallon is divided into quarts (1 gallon = 4 quarts).We know that one part will be cleaner, it means that you will need to use 1 quart of the cleaner.
hope thats right

4 0

2 years ago

Read 2 more answers

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line

anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

$V_L= 100 m^3/h * 3h=300\ m^3$

Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:

$V_R= 280 m^3/h * 3h=840\ m^3$

To get the best estimate of the total volume, let us find the average of the two values, hence:

$Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3$

3 0

2 years ago