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3 years ago

One of two complementary angles measures 30 degrees more than three times the other. Find each angle.

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

$x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15$

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

#LearnwithBrainly

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3 years ago

At what values of the variable a is the value of the expression a (a + 5) greater than the value of the expression a (a - 4)?

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Answer:

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Step-by-step explanation:

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3 years ago

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. Wh

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Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

$d_{t} = d_{1} + d_{2}$

First, we need to equal the base power 10 so we can sum both distances:

$2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km$

Now, average distance:

$d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km$

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!

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3 years ago

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and

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4 years ago

Read 2 more answers

The equation of a parabola in vertex form is y = 2(x - 3)2 + 5. What is the standard form

Alexxx [7]

hello :

y = 2(x + 3)² - 5

y = 2(x²+6x+9) -5

y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )

Option (a) is correct.

The standard form the equation is

Step-by-step explanation:

Given : the vertex form of the equation of a parabola is

We have to write the given equation in standard form and choose the correct from the given options.

Consider the given equation of parabola

The standard form of equation of parabola is

We can obtain the standard form by expanding the square term in the given equation.

Using algebraic identity , we have,

Solving brackets, we get,

Simplify, we get,

Thus, The standard form the equation is

7 0

2 years ago