MATHEMATICS HIGH SCHOOL

ABCD is a rectangle. find m <AEB

Answers

Answer 1

Answer:

Answer:

$\Rightarrow m\angle AEB=130^(\circ)$

Step-by-step explanation:

As ABCD is a rectangle. So each angle of the rectangle is 90° and $m\angle EAD=65^(\circ)$ , so

$m\angle EAB=90^(\circ)-65^(\circ)=25^(\circ)$

The diagonals of the rectangle bisects each other. Hence,

$\Rightarrow AE=BE$

In a triangle if two sides are equal then the angles opposite them will be equal.

So in triangle AEB,

$m\angle EBA=m\angle EAB=25^(\circ)$

As the sum of the angles in a triangle adds up to 180°, so

$\Rightarrow m\angle EBA+m\angle EAB+m\angle AEB=180^(\circ)$

$\Rightarrow m\angle AEB=180^(\circ)- m\angle EBA-m\angle EAB$

$\Rightarrow m\angle AEB=180^(\circ)-25^(\circ)-25^(\circ)=130^(\circ)$

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A soup can has a height of 4 inches and a diameter of 3 inches. Which of the following is the closest to the volume of the soup can?

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12...................

Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credited her account with $36.61. What is her new balance?

Answers

Answer:

$2,252.79

Step-by-step explanation:

To answer the question, we use the formula to calculate the balance:

Balance = initial balance - withdrawal + credited amount

Initial balance = $2,447.67

Withdrawal = $231.49

Credited amount = $33.61

Substituting the variables for their values, we have

Balance = $2,447.67 - $231.49 + $33.61

Balance = $2,252.79

In conclusion, Ellen's new balance in her bank account is $2,252.79

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I hope this helps!

$2,447.67 - $231.49 = $2,216.18

$2,216.18 + $36.61 = $2,252.79

her new balance is $2,252.79

Which value of x is in the solution set of 4/3x +5 < 17?would the answer be 8 or 9?

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Well, 4/3x<12, 1/3x<3, x<9
All numbers below 9 are in the set. 9 itself isn't.

Answer:

the answer would be 8

Step-by-step explanation:

The areas of two circles are 36(pi) and 64(pi). What is hte ratio of the diameters? of the circumferences?

Answers

$A_1=36\pi\ \ \ \Rightarrow\ \ \ \pi r ^2=36\pi\ \ \ \Rightarrow\ \ \ r^2=36\ \ \Rightarrow\ \ r=6\n \nA_2=64\pi\ \ \ \Rightarrow\ \ \ \pi R ^2=64\pi\ \ \Rightarrow\ \ R^2=64\ \ \ \Rightarrow\ \ R=8 \n\n\n (2r)/(2R) = (r)/(R) =(6)/(8)= (3)/(4)\ \ \ \ \ \ \ \ and\ \ \ \ \ \ \ \ (2\pi r)/(2\pi R) =(r)/(R) = (3)/(4)$

2,304 because if you multiply 36 x 64 is 2,304 if not multiply 2,304 x 36 x 64 and then divide the answer by 36 & 64 the it should be 2,304

What is 56 written as a decimal?

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Answer:

56 as a decimal is 56.0 :)

Step-by-step explanation:

A whole number is a number whose fraction part is zero. To convert a whole number into a decimal, you must decide the result to a certain number of places after the decimal point and simply add a decimal and the number of zeros required to the right side of the whole number.

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism?

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okay let h be the height of prism so ATQ, height of pyramid = 3h put this in the formule The volume of a pyramid = base x height x (1/3) The volume of a prism = base x height and find their ratio so simple you will get the answer as 1

Answer:

its 27 got i right on edge 2021

Step-by-step explanation: