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3 years ago

Abcd is a trapezium in which ablldc

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

Step-by-step explanation:

Draw OE parallel to AB and CD.

In ABD, OE || AB

By Basic Proportionality theorem,

... (i)

In CDA, OE || CD

By Basic Proportionality theorem,

... (ii)

From (i) and (ii), we get,

Or,

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The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x - 5. what is t

Anastasy [175]

Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

$\frac{s}{y} = x$

$s = y*x$

Given, when 30 is added to the y numbers, the AM becomes x - 5.

$\frac{s + 30}{y + 1} = x - 5$

$\frac{y*x + 30}{y +1} = x - 5
$

$y*x + 30 = (x -5)( y +1)$

$y*x + 30 = y*x + x - 5y -5$

$5y = x - 5 -30 = x - 35
$

$y = \frac{x -35}{5}$

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4 years ago

a new car is purchased for 207000 dollars. the value of the car depreciates at 11% per year. what will the value of the car be,

kicyunya [14]

Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents

Final price:
207000*(0.89^11) = 57446.083

7 0

3 years ago

Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the b

almond37 [142]

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA given

sin ∠EAB = EB/AB (sin 60°) EB = (0.8660)AB

cos ∠EAB = EA/AB (cos 60°) EA = (0.5)AB

cos ∠DAC = AD/CA (cos 30°) AD = (0.8660)CA

sin ∠DAC = CD/CA (sin 30°) CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA, ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

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3 years ago

Its about differention

nika2105 [10]

Had -9-x^2
———
x^2

adh (-9-x^2)
——————-
x^2

-9adh-adhx^2
———————
x^2

9adh+adhx^2
- ———————
x^2

Hope this helps

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3 years ago

Special right triangles 45-45-90 & 30-60-90 formula!!<br> finding missing side lengths

nordsb [41]

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When you have two sides, you can figure out the third side with a² + b² = c² since they are all right triangles. Good luck

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3 years ago

Abcd is a trapezium in which ablldc​

Abcd is a trapezium in which ablldc