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Evgen [1.6K]
3 years ago
14

What is the value of x

Mathematics
1 answer:
Ratling [72]3 years ago
4 0
<h3>Answer:</h3>

90°

<h3>Step-by-step explanation:</h3>

The polygon has 7 sides, so the total of internal angles will be ...

... 180°×(7 -2) = 900°

The sum is then ...

... x + 146° +122° +142° +140° +110° +142° = 900°

... x + 802° = 900° . . . . . simplify

... x = 98° . . . . . . . . . . . . .subtract 802°

_____

<em>Comment on angle measure formula</em>

The usual formula for computing the total of internal angles of a convex polygon with n sides is ...

... total angle measure = (n -2)×180°

This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...

... (180° -a1) +(180° -a2) +... +(180° -an) = 360°

... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms

... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°

... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°

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Step-by-step explanation:

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3 years ago
Help please im marking brainliest
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The surface area of the triangular prism is of 140 cm².

<h3>What is the surface area of a prism?</h3>

It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:

  • One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
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For a rectangle, the area is given by the multiplication of the dimensions, hence:

Ar = 8 x 15 = 120 cm²

For each right triangle, the area is given by half the multiplication of the sides, hence:

At = 2 x 0.5 x 4 x 5 = 20 cm².

Then the surface area of the prism is:

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2 years ago
40 gallons water is used completely fill 6 fish tanks . If each tank hold the same amount of water
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3 years ago
Can someone solve this its probably easy but i dont know
Rzqust [24]

Answer:

Step-by-step explanation:

A={26,30,32,44,48}

B={22,26,34}

A∩B=26

number of elements=1

elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}

number of elements  in ξ=14

P(A∩B)=1/14

I can't draw venn diagram but i give hint

A={30,32,44,48}+{26}

B={22,34}+{26}

A∩B={26}

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The product of thirteen and a number
HACTEHA [7]
13x because you are saying the product of 13 that means 13x
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3 years ago
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