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4 years ago

Look at the figure.

Mathematics

2 answers:

konstantin123 [22]4 years ago

5 0

Answer:ΔSRT and ΔTRP

Step-by-step explanation:

We are given that R is a point on hypotenuse SP such that the segment RT is perpendicular to PS, therefore, PR=RS as the perpendicular bisector divides the line segment in two equal halves.

Now,

In ΔSRT and ΔTRP,

PR=SR( Since RT is perpendicular bisector, it divides PS in two equal halves)

∠PRT=∠SRT=90° (RT is perpendicular bisector of PS)

RT=RT(Common)

Therefore, by SAS rule of congruency,

ΔSRT ≅ΔTRP

Hence, Option D is correct.

AVprozaik [17]4 years ago

3 0

I believe the correct answer from the choices listed above is the third option. The pair of triangles that are similar are the triangles PQR and PTS. They both are isosceles triangles with the same ratio of the corresponding lengths. Hope this answers the question. Have a nice day.

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To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700$ dollars in your account.

kozerog [31]

Let's say the savings in your account are given by $V, the number of weeks by n and the starting balance by $x:
V = x + 200n

Now if after saving for 4 weeks you have $1700 in your account, then:
1700 = x + 200*4
1700 = x + 800
x = 900, thus your starting balance is $900

Using this information we can now write up the general equation for the savings at the end of each week:
V = 900 + 200n

4 0

3 years ago

Read 2 more answers

Please find the area

Vlada [557]

Step-by-step explanation:

Draw a dotted line from b to e

as I've done

you will realize that abfe is a rectangle ,and bced is a trapezium

Area of abfe

=LW

=13ft(10ft)

=130ft^2

Area of bced

=1/2(sum of // sides )height

=1/2(eb+cd)h

h=16ft-10ft

h=6ft

A=1/2(13ft+6ft)×6ft

=19ft(3ft)

=57ft^2

Total areal =(57+130)ft^2

=187ft^2

3 0

3 years ago

Solve the inequality.<br><br>c – 3 > 6

Tresset [83]

c-3+3>6+3

Answer c > 9

7 0

4 years ago

Read 2 more answers

4x+112=9x+72<br> solve for X

denis23 [38]

Answer:

x = 8

Step-by-step explanation:

4x + 112 = 9x + 72

-112 -112

4x = 9x - 40

-9x -9x

-5x = -40

----- --------

-5 -5

x = 8

4 0

3 years ago

The CEO of a large corporation asks his Human Resource (HR) director to study absenteeism among its executive-level managers at

Fynjy0 [20]

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given:

n = 30 is the sample size.

The mean $\bar X$ = 7.3 days.

The standard deviation = 6.2 days.

df = n-1

$= 30-1 \\ =29$

The importance level is $\alpha$ = 0.10

The table value is calculated with a function excel 2010:

$= tinv (\ probility, \ freedom \ level) \\= tinv (0.10,29) \\ =1.699127\\ = t_{al(2x-1)}= 1.699127$

The method for calculating the trust interval of 90 percent for the true population means is:

Formula:

$\bar X - t_{al 2,x-1} \frac{S}{\sqrt{n}} \leq \mu \leq \bar X+ t_{al 2,x-1} \frac{S}{\sqrt{n}}$

$=\bar X - t_{0.5, 29} \frac{6.2}{\sqrt{30}} \leq \mu \leq \bar X+ t_{0.5, 29} \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 \frac{6.2}{\sqrt{30}}\leq \mu \leq7.3 +1.699127 \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 (1.13196)\leq \mu \leq7.3 +1.699127 (1.13196) \\\\=5.37 \leq \mu \leq 9.22 \\$

It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.

7 0

3 years ago