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3 years ago

Perpendicular lines AB and CD intersect at point E. If m∠AED = x + 20, what is the value of x?

Mathematics

2 answers:

Shalnov [3]3 years ago

8 0

check the picture below.

all angles at point E are right-angles, therefore x + 20 = 90, meaning x = 90 - 20.

Katen [24]3 years ago

8 0

Answer:

The value of x would be: 70.

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Which of the following is a rational number?

Klio2033 [76]

Answer:

√25

Step-by-step explanation:

√25 = √(5²) = 5 . . . . a rational number

The other roots are not the roots of perfect squares, so are irrational.

5 0

3 years ago

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

kherson [118]

Answer:

In 2030 Lane & Zack's house be worth $65,739.27.

Step-by-step explanation:

Here, as we know The value of property = $245,000

Rate of depreciation = 4% of its present value

Time = From 2016 to 2030 = 14 years

Now, here: Amount depreciated = -( COMPOUND INTEREST on the value)

Step 1: CALCULATE THE COMPOUND INTEREST on P = $245,000

$A = P(1 + \frac{r}{100} )^t\\\implies A = (245,000)(1 + \frac{4}{100} )^{14} = (245,000)(1 + \frac{4}{100} )^{14}\\=245,000 (\frac{104}{100} )^{14} = 424,260.73$

or, AMOUNT = $424,260.73

Now, AMOUNT = Compound I + Principal

⇒Compound I = A - P = $424,260.73 - $245,000 =$ 179,260

So, the amount of the house by which house depreciates = $ 179,260

⇒The depreciated value = Actual Value - The depreciated amount

= $245,000 - 179,260 = $65,739.27

Hence, in 2030 Lane & Zack's house be worth $65,739.27.

4 0

4 years ago

A triangular prism is 40 feet long and has a triangular face with a base of 24 feet and a height of 35 feet. The other two sides

babymother [125]

Answer:

4406.08 ft

Step-by-step explanation:

6 0

3 years ago

An arithmetic series begins 29+25+21+... find the maximum value that the series could have

Fittoniya [83]

The series' value is maximized if the sum only consists of positive terms. Notice that each term in the sum takes the form 4n + 1 for integer n. This means the smallest positive integer that the sum can involve is 1, so the maximum value is

S = 29 + 25 + 21 + … + 9 + 5 + 1

Reversing the order of terms gives the same sum,

S = 1 + 5 + 9 + … + 21 + 25 + 29

Adding terms in the same positions gives us twice this sum,

2S = (29 + 1) + (25 + 5) + (21 + 9) + … + (1 + 29)

Notice how each grouped sum adds to 30. There are 8 terms in the sum, since 4n + 1 = 29 when n = 8. So

2S = 8 × 30 = 240 ===> S = 120

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3 years ago

You are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you dr

Vlad1618 [11]

The scale factor would be 3 to 1

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4 years ago