No because the number has to be between 1 and 10 so it should be 2.6x10^3
Answer:
Angle A = 102°
Angle B = 51°
Angle C = 27°
Step-by-step explanation:
angle A = 2b
angle B = b
angle C = 1/3 b + 10
Angle A + Angle B + Angle C = 180
2b + b + 1/3 b + 10 = 180
3 1/3 b + 10 = 180
10/3 b = 170
b = 51
a = 2b = 102
c = 1/3 b + 10 = 1/3 (51) + 10 = 17 + 10 = 27
<u>Corrected Question</u>
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
<u>Scale on the old blueprint: </u>
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
<u>Scale on the new blueprint</u>
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be 
and Rose's age will be 
"Ivy is half as old as her sister":

this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have
years, and Rose will have
years, so for this sentence we have the equation:

this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):

Rose is 12 years old.
and Ivy (using the fist equation):

Ivy is 6 years old.