Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.

The sum of this angles must give 180 degrees as shown;

7x-15 + 24x + 9 = 180

7x+24x-15+9 = 180

31x-6 = 180

31x = 180+6

31x = 186

x = 186/31

x = 6

Hence the value of x is 6 degrees

3 0

2 years ago

When Theresa got her puppy, it weighed 6 ponds less than 2/3 of its weight now. If the puppy weighed 4 pounds when she first rec

sesenic [268]

Answer:

15 lb

Step-by-step explanation:

let the current weight of the puppy be X, the initial weight of the puppy is 4lb or $\frac{2}{3}X-6\ lb$ , (6 lb less 2/3 X) .

#We equate the current weight to the initial weight to determine X:

$4\ lb=\frac{2}{3}X-6\ lb\\\\10 \ lb=\frac{2}{3}X\\\\X=15$

Hence, the current weight of the puppy is 15 lb

5 0

3 years ago

50 + 2x = 100<br> What is x?

max2010maxim [7]

Answer:

x = 25

Step-by-step explanation:

50 + 2x = 100

=> 2x = 50

=> x = 25

Hoped this helped.

4 0

2 years ago

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