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2 years ago

Please help me with this one! Its due today. Thank you ^^

Mathematics

1 answer:

larisa [96]2 years ago

6 0

Step-by-step explanation:

the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).

the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.

a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.

so,

c = 180 - 35 = 145°

a = c = 145°

b = 35°

d = 180 - 110 = 70°

e = d = 70°

f = 110°

g = 180 - 125 = 55°

i = g = 55°

h = 125°

j = 180 - 130 = 50°

m = j = 50°

o = k = d = e = 70° (as this line crosses 2 levels)

l = f = 110°

n = 180 - m - o = 180 - 50 - 70 = 60°

s = 180 - 23 = 157°

p = 23°

r = 68°

q = 180 - p - r = 180 - 23 - 68 = 89°

t = 180 - 68 = 112°

v = w = z = 132° (as this line crosses 2 levels)

A = 180 - 132 = 48°

y = x = u = A = 48°

B = 180 - 39 - 47 = 94°

D = B = 94°

C = 39 + 47 = 86°

E = 47°

F = B + 39 = 94 + 39 = 133°

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Anon25 [30]

The answer is 33 cm^3

Square Volume: 3*3*3= 27 cm^3
Pyramid: 1/3 * 2 * 3^2 = 6 cm^3

27+6= 33 cm^3

5 0

3 years ago

Read 2 more answers

You want to retire on the equivalent of $50,000 per year in today's money. inflation is expected to be 3%. you will retire in 30

kicyunya [14]

$662.18 needs to be saved per month.

$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.

i.e. $218,454 is required in retirement years (for 20 years)

Calculating the PV of these payments at 7% is calculated as below.

FV = 0

1/y = 7%

n=20; PMT = 218454; calculate PV = $2,314,305

Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.

FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT = $662.18

So $662.18 needs to be saved per month.

Learn more about inflation here: brainly.com/question/8149429

#SPJ4

5 0

2 years ago

Cole is saving money from his summer job. He wants to buy a new video game that costs 45.25. He will save the same amount each w

krek1111 [17]

Cole will have to save 9.05 for 5 weeks in order to get the video game.

How to solve this problem- 45.25 ÷ 5 = 9.05

---------------------------------------------------------------------------------------------------------------

bai ^^

5 0

3 years ago

V2=u2+2as v 2 = u 2 + 2 a s Where v v is the final velocity (in m/s), u u is the initial velocity (in m/s), a a is the accelerat

allsm [11]

Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

$v^2=u^2+2as$

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/ $s^2$

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

$v^2=u^2+2as$

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

$v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s$

So, the answer is:

final velocity, v = 21.75 m/s

5 0

3 years ago

What is the distance between the points (5,7) and (3, 4) on the coordinate

VARVARA [1.3K]

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance² = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61

4 0

3 years ago