Ask question

Ask question

All categories

3 years ago

14

What is the midpoint of the segment (1, -1) (4, -6)

1 answer:

Sophie [7]3 years ago

6 0

When looking for the midpoint of a segment defined by two end points, the average of both coordinates are taken. Averaging the 2 x-coordinates give the new x-coordinate, and the same applies for the y-coordinate. This is shown below:

Midpoint = ( (1 + 4)/2 , (-1 + -6)/2 )
Midpoint = (2.5 , -3.5)

You might be interested in

Identify the measure of PR in the diagram. PLEASE HELP!!

kykrilka [37]

Answer:

The correct answer is : Fourth, PR = 6

Step-by-step explanation:

PR is mid segment ( median line) of the side YZ in the triangle XYZ and is equal it's half.

PR = 1/2 YZ = 1/2 · 12 = 6

PR = 6

God with you!!!

3 0

3 years ago

Please help me with this math PLEASE

Doss [256]

Answer:

Step-by-step explanation:

0

r

= 1

6 0

3 years ago

Why is it necessary to check that n modifyingabove p with caret greater than or equals 5np≥5 and n modifyingabove q with caret g

Nookie1986 [14]

Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if $np \ge 5$ and $nq \ge 5$ then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.

side note: q = 1-p is the complement of probability p

4 0

3 years ago

looks out from the crown of the Statue of Liberty, approximately 250 ft above ground. The tourist sees a ship coming into the ha

Zigmanuir [339]

Answer:

The distance from the base of the statue to the ship is 771.60 ft

Step-by-step explanation:

Refer the attached figure

Height of statue AB= 250 feet

The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.

So, ∠ACB = 18°

We are supposed to find the distance from the base of the statue to the ship i.e. BC

In ΔABC

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan 18^{\circ}=\frac{AB}{BC}$

$Tan 18^{\circ}=\frac{250}{BC}$

$BC=\frac{250}{Tan 18^{\circ}}$

$BC=\frac{250}{0.324}$

BC=771.60 ft

Hence the distance from the base of the statue to the ship is 771.60 ft

3 0

3 years ago

YS is the perpendicular bisector of XYZ and YS is a shared side of XYS and ZYS. which of the following must be congrent in order

german

Answer:

The triangles SYX and SYZ are congrient so by CPCTC $XY\cong YZ$ , $XS\cong ZS$ and $\angle X\cong \angle Z$ .

Step-by-step explanation:

Given information: YS is the perpendicular bisector of XYZ.

In triangle YXS and triangle YSZ,

$\angle SYX=\angle SYZ$ (YS is the perpendicular bisector of XYZ)

$YS=YS$ (Common side, Reflexive property)

$\angle YSX=\angle YSZ=90^{\circ}$ (YS is the perpendicular bisector of XYZ)

By ASA postulate,

$\triangle SYX\cong \angle SYZ$

The corresponding parts of congruent triangles are congruent. so,

$XY\cong YZ$

$XS\cong ZS$

$\angle X\cong \angle Z$

6 0

3 years ago