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3 years ago

What is the value of b? b B+42 B-20

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

b=22°

Step-by-step explanation:

because b+42=b+b-20

b+42=2b-20

b-2b=-20-42

-b=-22

b=22°

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Practice question — Given the trapezoid to the right find the length of legs in the following isosceles trapezoid

ad-work [718]

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

$EF=AD=18$

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

$AB=DC$ (Legs of isosceles trapezoid)

$AE=DF$ (Vertical height of isosceles trapezoid)

$m\angle AEB=m\angle DFC$ (Right angle)

$\Delta ABE\cong \Delta DCF$ (HL postulate)

$BE=CF$ (CPCTC)

Now,

$BE+EF+FC=BC$

$2BE+18=24$

$2BE=24-18$

$2BE=6$

$BE=3$

Using Pythagoras theorem in triangle ABE, we get

$Hypotenuse^2=Perpendicular^2+Base^2$

$(AB)^2=(AE)^2+(BE)^2$

$(AB)^2=(4)^2+(3)^2$

$(AB)^2=16+9$

$(AB)^2=25$

Taking square root on both sides, we get

$AB=\pm \sqrt{25}$

$AB=\pm 5$

Side length cannot be negative. So, $AB=5$ .

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

3 0

3 years ago

a recipe requires 3/8 cup of sugar for each cup of flour used. If a baker uses 10 cups of flour, what is the total amount of sug

Galina-37 [17]

If the recipe requires 3/8 cup of sugar per every one cup of flour, and he uses TEN cups of flower, then multiply 3/8 by 10 to meet the supplements.
10/1 * 3/8 = 30/8 = 3 & 6/8 cups = 3 & 3/4 cups.

8 0

4 years ago

Read 2 more answers

Pls help asap i will give branerlist plus 10 ponts

Luden [163]

4 and 5 are the only constant terms

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3 years ago

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How much money is one quarter five nickel three dimes

Rufina [12.5K]

Answer:

$.80 or 80¢

Step-by-step explanation:

US Coin Denominations are as follows:

Quarters: $.25

Dime: $.10

Nickel: $.05

Penny: $.01

We can now use the following

(1*25)+(5*5)+(3*10)=80

4 0

3 years ago

What are some key words used to note addition operations?

djverab [1.8K]

Answer:

The correct answer is

For addition, Caulleen used the words total, sum, altogether, and increase. But we could also have used the words combine, plus, more than, or even just the word "and". For subtraction, Caulleen used the words, fewer than, decrease, take away, and subtract. We also could have used less than, minus, and difference.

Step-by-step explanation:

hope this helps u!!!

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4 years ago