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3 years ago

Simplify 5(1-4x)+2x-40

Mathematics

2 answers:

forsale [732]3 years ago

7 0

Answer:

-35 - 18x

Step-by-step explanation:

Distribute to expand it: 5-20x + 2x -40

Collect like terms: (5-40)+ (-20x+2x)

Simplify to get the answer

Nitella [24]3 years ago

5 0

Answer:

-18x-35

Step-by-step explanation:

5(1-4x)+2x-40

5-20x+2x-40

-18x-35

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3 years ago

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The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.

snow_tiger [21]

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

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3 years ago

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4 years ago

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded t

xenn [34]

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle is $Area = \frac{base * height}{2}$ where the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of $\frac{L}{2}$ , a hypotenuse of L and a the unknown height.

Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, $hypotenuse = \sqrt{c^{2} + c^{2} }$ Where one c is $\frac{L}{2}$ and the other is the height.