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3 years ago

An angle's measure is equal to 24 less than its complement. Find the angle's measure.

1 answer:

4 0

A complementary angle is an angle that has measurements that add up with another angle to equal 90 degrees. To find the measure of the angle you would subtract 90 degrees from the measure of the given angle. So you would subtract 90 from 24 to get 66. So the measure of the angle would be 66 degrees. Thank you

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Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of J

son4ous [18]

Answer:

4/7

Step-by-step explanation:

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3 years ago

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ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

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3 years ago

How many times larger is 5 × 106 than 5 × 102? PLEASE HELP !

Ray Of Light [21]

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

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4 years ago

Please help!!!!!!!!!!!!!!!!!!!!!

3241004551 [841]

Answer:

C and D

Step-by-step explanation:

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arc = circumference of circle × fraction of circle

= 2πr × $\frac{60}{360}$

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The area (A) of a sector is calculated as

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3 years ago

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Answer:

Option A is correct.

The function for the given graph is;

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Step-by-step explanation:

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Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

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$2 = ab^0$ = a

⇒ a = 2

and

for B = (1, 8)

$8 = ab^1$

$ab = 8$

Substitute the value of a=2 in above equation to solve for b;

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divide both sides by 2 we get;

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3 years ago

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