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sleet_krkn [62]
3 years ago
5

A:Alternate interior angles

Mathematics
1 answer:
Montano1993 [528]3 years ago
7 0

relationship between v and x is C:Consecutive interior angles

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In the figure, the measure of Angle 8 = 96 and the measure of Angle 12 =42. Find the measure of Angle 9.
r-ruslan [8.4K]
ANSWER:   84; Consecutive Interior Angles Theorem

6 0
3 years ago
A quantity with an initial value of 160 grows continuously at a rate of 0.65% per hour.
dangina [55]

Answer:

167.10

Step-by-step explanation:

Here, we write out the general form for an exponential equation;

y = I (1 + r)^n

where y is the current value which we want to calculate

I is the initial value which is 160

r is the growth rate = 0.65% = 0.65/100 = 0.0065

402 minutes to hours will be 402/60 = 6.7 hours which is n

Substituting these values, we have

y = 160( 1 + 0.0065)^6.7

y = 160(1.0065)^6.7

y = 167.10

6 0
3 years ago
Read 2 more answers
The average of 11 numbers in a list is 14. If the average of 9 of the numbers in the list is 9, than what is the average of the
liberstina [14]
Total value of 11 numbers
14*11
154

Total value of 9 numbers
9*9
81

Total value of other 2 numbers
154 - 81
73

So average of other 2 numbers
73 / 2
36.5
3 0
3 years ago
what is the area of the figure ? answers a. 12 units2 b. 17 units 2 c. 16 units 2 d. 24 units2 e. none
stellarik [79]

9514 1404 393

Answer:

  17 square units

Step-by-step explanation:

There are several ways you can divide this figure into areas that are easily computed.

One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...

  A = (1/2)bh

  A = (1/2)(6)(8) = 24 . . . . square units

The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.

Then the area of the shaded part is ...

  A = 24 - 7 = 17 . . . . square units

3 0
3 years ago
A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcycli
rewona [7]

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

5 0
3 years ago
Read 2 more answers
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