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2 years ago

In ∆ GHK point M is the midpoint of GH. Which term describes KM?

Mathematics

2 answers:

guajiro [1.7K]2 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

Given information: In ∆ GHK point M is the midpoint of GH.

If a line perpendicular from a vertex to the opposite side of the triangle, then it is called altitude of a triangle.

If a line segment joint a vertex of the triangle to the midpoint of the opposite side, then it is called median.

If a line segment bisect one of the vertex angles of a triangle, then it is called angled bisector.

If a line from a vertex perpendicular to the opposite side and passing through its midpoint, then it is called perpendicular bisector.

Since side GH is opposite to the vertex K and M is the midpoint of GH, therefore the line segment KM is median of the ∆GHK.

Therefore the correct option is B.

SpyIntel [72]2 years ago

5 0

C is the cortect answer

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After getting 10% discount a customer paid RS 2034 with 13% VAT to buy a bag from a retailer. If the retailer made a profit of 2

german

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%

7 0

2 years ago

A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines

nevsk [136]

Answer:

(A) The residents of Belmont are more likely to use public transportation because the city has the highest population density.

Step-by-step explanation:

correct on edge

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2 years ago

Two car rental companies charge an initial rental fee plus a fee per day. The table shows the total costs of renting a car for x

Fynjy0 [20]

Answer:

a) Which rental company charges less per day?

Payless rental company

b) How many days must you rent a car for the total costs to be the same?

3 days.

Step-by-step explanation:

We have car rental companies

Discount car rentals and Pay less car rentals.

x = number of days

y = Total cost.

a) Let's assume the starting day of renting a car is 2 days

We need to determine the Equation for discount rentals.

For Discount car rentals

2 days = $185

4 days = $265

6 days = $345

8 days = $425

The difference between 2 days = $265 - $185 = $80

If the difference between 2 days = $80

Difference between 1 day = $80/2

= $40

If you rent a car for 1 day,

185 - 40 =$145

Hence, the Equation for payment for Discount rentals =

y = 40x + 105

b) For Pay less car rentals

This equation was given: y = 55x + 60.

y = Total cost, x = number of days

a) 1 day

y = 55(1) + 60

y = $115

b) 2 days

y = 55(2) + 60

y = 110 + 60

y = $170

c) 3 days

y = 55(3) + 60

= 165 + 60

= $225

d)For 4 days

y = 55x + 60.

y = 55 × 4 + 60

y = 220 + 60

y = $280

e) For 5 days

y = 55x + 60.

y = 55 × 5 + 60

y = 275 + 60

y = $335

f) For 6 days

y = 55x + 60.

y = 55 × 6 + 60

y = 330 + 60

y = $380

g) For 7 days

y = 55x + 60.

y = 55 × 7 + 60

y = 385 + 60

y = $445

h) For 8 days

y = 55x + 60.

y = 55 × 8 + 60

y = 440 + 60

y = $500

a) Which rental company charges less per day?

The total coast for renting a car as determined in the above calculation

For 1 day in Discount car rentals = $145

For 1 day in Payless car rentals = $115

From the above calculation, it is Payless rental company

b) How many days must you rent a car for the total costs to be the same?

We equate both equations to each other

y = 40x + 105 = y = 55x + 60.

40x + 105 = 55x + 60

105 - 60 = 55x - 40x

45 = 15x

x = 45/15

x = 3 days.

Therefore, after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.

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2 years ago

What is the exact volume of the cone?

aleksandrvk [35]

1st one is the correct one

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2 years ago

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Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they canno

tensa zangetsu [6.8K]

<h2>Answer with explanation:</h2>

As per given , we have

$\hat{p}=0.48$ , n=331

Critical value for 90% Confidence interval : $z_{\alpha/2}=1.645$

a) Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.48\pm (1.645)\sqrt{\dfrac{0.48(1-0.48)}{331}}\\\\\approx 0.48\pm0.02746\\\\=(0.48-0.02746,\ 0.48+0.02746)\\\\=(0.45254,\ 0.50746)$

Hence, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot a ord it : $(0.45254,\ 0.50746)$

b) Margin of error : E=1.5%=0.015

Formula for sample size : $n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

For p =0.48 , we have

$n=0.48(1-0.48)(\dfrac{1.645}{0.015})^2=3001.88373333\approx3002$

Hence, the required sample size to survey = 3002

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2 years ago