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Sphinxa [80]
2 years ago
8

Geometry help, please.

Mathematics
1 answer:
egoroff_w [7]2 years ago
3 0

Answer:

  80°

Step-by-step explanation:

The sum of the marked angles is 145°, so we have ...

  (4x+5)° +(6x -10)° = 145°

  10x -5 = 145 . . . . . . . . . . divide by °, simplify

  10x = 150 . . . . . . . . add 5

  x = 15 . . . . . . . . divide by 10

Then the measure of angle XMN is ..

  angle XMN = (6x -10)° = (6(15) -10)° = 80°

______

<em>Check</em>

angle ZMX = (4(15)+5)° = 65°

and 65° +80° = 145° . . . . as required

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Her next step will be "Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B".



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3 years ago
Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?
Nikolay [14]
The inclusion/exclusion principle states that

|X\cup Y|=|X|+|Y|-|X\cap Y|

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, |X\cup Y| will have the most elements when the sets X and Y are disjoint, i.e. X\cap Y=\emptyset, which would mean the most we can can in this case would be

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3 0
3 years ago
I need help bc I don’t have a calculator
kari74 [83]

Answer:

B is correct

Step-by-step explanation:

I think you don't need a calculator here. :) Try to figure out next time!

7 0
3 years ago
1.667 + 1.483 + 1.483 + 1.451 + 1.381
koban [17]
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3 years ago
Read 2 more answers
Not sure if i got this right?
aleksandrvk [35]

Answer:

The effect it will have on the volume is;

The volume will be 8 times larger

Step-by-step explanation:

The dimensions of the given prism are;

The length of the prism, l = 5 in.

The breadth of the prism, b = 5 in.

The slant height of the prism,  = 4 in. by 5 in.

The height of the prism, h = 7 in.

The shape of the prism = Parallelepiped

The volume of a parallelepiped = Area of Base × Height of the prism

The base area of the parallelepiped = The length × Breadth of the parallelepiped

∴ The base area of the given parallelepiped = 5 in. × 5 in. = 25 in.²

The volume of the given parallelepiped, V₁ is found as follows;

V₁ = 5 in. × 5 in. × 7 in. = 25 in.² × 7 in. = 175 in.³

When a scale factor of 2 in applied to the dimensions of the prism, we have;

The new volume, V₂ =  2 × 5 in. × 2 × 5 in. × 2 × 7 in.

∴ V₂ = 2 × 2 × 2 × 5 in. × 5 in. × 7 in. = 8 × 5 in. × 5 in. × 7 in. = 8 × V₁

Therefore;

V₂ = 8 × V₁

The volume of the image of the object, V₂ after applying a scale factor of 2 is 8 times larger than the volume of the object, V₁.

5 0
3 years ago
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