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bazaltina [42]
3 years ago
5

Help me, I don't understand how to do it.

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

Aplha=105

Step-by-step explanation:

The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105

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The area of a rectangle is (25x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression
8_murik_8 [283]

Answer:

(5x+3y) and (5x-3y)

Step-by-step explanation:

From the concept on difference between two squares;

a² - b² = (a+b)(a-b)

Therefore;

25x² - 9y² = (5x+3y) (5x-3y)

Therefore the dimensions of the square are (5x+3y) and (5x-3y)

6 0
4 years ago
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Which statement is not supported by the information in the table?
Kitty [74]

A. More than one half of Maria's monthly income is spent on rent

Reason being her income is 2,000. Her rent is only 900, which is less than half of 2,000, which is 1,000.

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Write the equation of the line that is perpendicular to 3x + 7y = 15 and passes through (4, 9)
k0ka [10]

Answer:

7x - 3y = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 7y = 15 into this form

Subtract 3x from both sides

7y = - 3x + 15 ( divide all terms by 7 )

y = - \frac{3}{7} x + \frac{15}{7} ← in slope- intercept form

with slope m = - \frac{3}{7}

Given a line with slope m the the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{3}{7} } = \frac{7}{3}, thus

y = \frac{7}{3} x + c ← is the partial equation of the line

To find c substitute (4, 9) into the partial equation

9 = \frac{28}{3} + c ⇒ c - \frac{1}{3}

y = \frac{7}{3} x - \frac{1}{3} ← in slope- intercept form

Multiply through by 3

3y = 7x - 1 ( subtract 3y from both sides )

0 = 7x - 3y - 1 ( add 1 to both sides )

1 = 7x - 3y, that is

7x - 3y = 1 ← in standard form

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283.4m^2 is your answer

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