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mamaluj [8]
3 years ago
14

Simplify the following expression 2x-5(2x-7y+3)+(-8)

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
You need to distribute the -5 and(2x-7y+3)which gives you -10x+35y-15. Now you have 2x-10x+35y-15+-8. Combine like terms, 2x-10x=-8x, also combine -15+-8= -23. The answer would be -8x+35y-23.
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A plane cuts a pyramid as shown in the diagram. What is the shape of the cross section
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5 0
3 years ago
ABCDE is a regular pentagon.
LiRa [457]

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

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

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

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

<h3>Answer: 108 degrees</h3>

====================================================

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

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

<h3>Answer: 241 degrees</h3>
8 0
3 years ago
Can someone actually help me w this ?
Kay [80]

Answer:

the first 1

Step-by-step explanation:

8 0
3 years ago
I don't get this one?
Vlad1618 [11]

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

7 0
2 years ago
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