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AnnyKZ [126]
3 years ago
12

Find the measure of unknown angle​

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

a = 85° , b = 30° , c = 65°

Step-by-step explanation:

∠ a and 85° are alternate angles and are congruent , so

a = 85°

∠ c and 65° are alternate angles and are congruent , so

c = 65°

a, b and c lie on a straight line and sum to 180° , that is

a + b + c = 180°

85° + b + 65° = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

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Approximately how many years would it take for a $10,000 investment, with an 8% interest per annum, to reach $14,800 if the inte
bezimeni [28]

You would do:


t = time in years


14,800 = 10,000(1+0.08/4)^4t


1.48 = 1.02^4t


log_1.02(1.48) / 4 = t


((log 1.48)/ (log 1.02))/4 = t


t ~ 4,949 years

5 0
4 years ago
Answer po plss plss plss
Dmitry_Shevchenko [17]

Answer:

(  3) - ( 4) + (  18) + (6) -  (5)

(3+18+6)+(-4-5)

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18

8 0
3 years ago
Which graph represents the polynomial function g(x)=x3+x2−17x+15?
IrinaVladis [17]

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Step-by-step explanation:

g(x) = x³ + x² - 17x + 15 is a cubic function because the greatest power

of x is 3

All graphs represent cubic functions

So to find which graph which represents g(x) we will do these steps

1. Put x = 0 to find the y-intercept

2. If there are more than one graph have the same y-intercept we will

   find the maximum and the minimum points of the cure

3. If you still don't know which graph find the x-intercepts

Now let us find the graph which represents g(x)

∵ g(x) = x³ + x² - 17x + 15

∵ x = 0

∴ g(0) = (0)³ + (0)² - 17(0) + 15

∴ g(0) = 15

∵ g(0) is the y-intercept

∴ The graph intersect the y-axis at point (0 , 15)

There is only one graph intersects y-axis at point (0 , 15)

The attached figure is the graph of g(x)

The graph which represents the polynomial function g(x) is:

the 2nd graph in the second line

Learn more:

you can learn more about functions in brainly.com/question/10541435

brainly.com/question/10879401

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
Need fast Help please ! Click on the picture
dedylja [7]
ABC ~ A’B’C’

So, AB=A’B’ , BC=B’C’ , AC = A’C’

Given, AB=15 and A’C’=4

So, AC = 4 , A’B’ = 15
6 0
3 years ago
1. Find the area of the polygon
zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0
2 years ago
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