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slamgirl [31]
3 years ago
8

The measures of the three angles of a triangle are given by 1. 3x +1 2. 2x -3, and 9x. What is the measure of the smallest angle

?
A. 13 degrees
B. 23 degrees
C. 29 degrees
D. 40 degrees
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Since the total measure of all the angles of a triangle is always 180, solve for x with the equation: 3x+1+2x-3+9x=180. x=13. Now plug in x and look for the smallest one, which will be B. 23 degrees.
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the area of a square floor on a scale drawing is 100 square centimeters, and the scale of the drawing is 1 cm: 2 ft. what is the
kondaur [170]
The square root of 100 is 10. The drawing must be 10 cm by 10 cm.

1 cm = 2 ft, so 10 cm must equal 20 feet.

20 * 20 = 400 square feet :)
3 0
3 years ago
The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) . What is the slope of the line that is perpend
Katarina [22]
The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
 M1× M2 = -1
 Thus, the slope of a perpendicular to line DE will be -6/7.
7 0
3 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
Arada [10]
The answer is 25%

(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75

(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%

7 0
3 years ago
The midpoint of AB is M(7. – 7). If the coordinates of A are (8,-6), what are the
IRISSAK [1]

Answer: B = (6,-8)

Step-by-step explanation:

first the midpoint formula is (\frac{x1+x2}{2},\frac{y1+y2}{2})

then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:

\frac{8+x}{2}=7

then solve it like an equation:

8+ x=14\\x=6

then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:

\frac{-6+y}{2} =-7

then solve it like an equation:

-6+y=-14\\y=-8

∴ the answer is x=6, y= -8

which is expressed as a point, B(6,-8)

3 0
3 years ago
Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have
sasho [114]

Answer:

0.3 or 30%

Step-by-step explanation:

Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

P = 0.5*0.6 = 0.3

The probability is 0.3 or 30%.

7 0
3 years ago
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