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2 years ago

Please help I have been stuck on these two for two days now!!!

Mathematics

1 answer:

postnew [5]2 years ago

8 0

First of all you should demand your teachers stop teaching you algebra in geometry class.

Linear pairs (and this is the geometry part) are angles that add to 180 degrees, supplementary angles formed by two lines crossing.

3n + 21 + 2n + 34 = 180

5n + 55 = 180

5n = 125

n = 25

mEFG = 3n + 21 = 96 degrees

mCFH = 2n + 34 = 84 degrees

These are indeed supplements, adding to 180 degrees.

ACD is a right angle because it makes a linear pair along DF with another right angle.

mACB + mBCD = 90 degrees

mBCD = 90 - mACB = 90 - 68

mBCD = 22 degrees

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Please help. thank you :)

Zina [86]

Answer:A

Step-by-step explanation: your answer is A

5 0

3 years ago

(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the

Vanyuwa [196]

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

6 0

2 years ago

A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$

Square of 9: $9^2=81$ .

Square of mother's age: $1681$

To find mother's age, we need to take positive square root of 1681 as:

$\sqrt{1681}=41$

Therefore, the mother is 41 years old.

4 0

2 years ago

The sum of 5x and 2x is a least 70

diamong [38]

Answer:

7x ≥ 70

Step-by-step explanation:

5x + 2x ≥ 70

7x ≥ 70

x ≥ 10

Hope this helps!

-sruthi123

5 0

3 years ago

Suppose that a new employee starts working at $7.67 per hour and receives a 3% raise each year. After time t, in years, his

Andrews [41]

Answer:

9 years

Step-by-step explanation:

You want to find t such that y=10.

10 = 7.67(1.03)^t

10/7.67 = 1.03^t . . . . . divide by 7.67

log(10/7.67) = t·log(1.03) . . . . . . take logs

log(10/7.67)/log(1.03) = t ≈ 8.9743 . . . . . years

After about 9 years, the employee will be earning $10 per hour.

8 0

2 years ago