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2 years ago

The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?

Mathematics

1 answer:

gayaneshka [121]2 years ago

6 0

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

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Write an algebraic expression for the word phrase. five fewer than d days d – 5 5 + d 5 – d d + 5

Troyanec [42]

Answer:

(d-5)

Step-by-step explanation:

we know that

The phrase"five fewer than d days" is equal to subtract 5 from the number d

d minus 5-----> (d-5)

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2 years ago

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Find the gradient of the line segment between the points (2,-3) and (-3,-8)

Anvisha [2.4K]

Answer:

Step-by-step explanation:

gradient=

$\frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1$

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2 years ago

4. Alan's go-kart travels 1600 feet per minute, and Barry's go-kart travels 23 miles per hour. Whose

garik1379 [7]

23 miles per hour is 2024 feet per minute
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So, Barry goes faster
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3 years ago

A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima

Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle= $20 ft\times 230 ft$

We know that

Area of rectangle ,A=xy

Differentiate

$dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y$

We have $\frac{\partial A}{\partial x}=y=230 ft$

$\frac{\partial A}{\partial y}=x=120$

$dx=\frac{12}{12}=1 ft$

1 ft=12 in

Because 6 in added in both side of breadth

dy= $\frac{12}{12}=1 ft$

Because 6 in added on both sides of length of rectangle

Substitute the values

$dA=230\times 1+120\times 1=350 ft^2$

Hence, the number of square feet of paint in the strip=350 square feet

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3 years ago

Solve for x. <br> 7x - 3 = 4x - 9

artcher [175]

Answer:

x= -2

Step-by-step explanation:

7x-3=4x-9

3x-3= -9

3x= -6

x= -2

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2 years ago

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