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3 years ago

Question is on picture

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

Answer:

Converse Same- Side Interior Angles Theorem

Step-by-step explanation:

65+115=180 is not on the same side, therefore the only option remaining is Converse Same- Side Interior Angles Theorem

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What is the square root of -1?

Zigmanuir [339]

Answer:

i is the answer

Step-by-step explanation:

4 0

3 years ago

find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

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

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

5 0

3 years ago

What is the value of f(-6) ? f(x) = x^2 + 8

masya89 [10]

Answer:

$\huge\boxed{44}$

Step-by-step explanation:

$f(x) = x^2 +8\\\\Put \ x = -6\\\\f(-6) = (-6)^2 + 8\\\\f(-6) = 36 + 8\\\\f(-6) = 44\\\\\rule[225]{225}{2}$

Hope this helped!

4 0

3 years ago

Read 2 more answers

sara is building a cabinet and she needs the corners to form a right angle. the dimensions of the cabinet are 4 feet by 2 feet.

Xelga [282]

Use the pythagoras theorem:-

diagonal = sqrt(2^2 + 4^2) = sqrt 20 = 4.47 feet to nearest hundredth.

4 0

4 years ago

What is the square root of 625

QveST [7]

$De finition:\\\sqrt{a}=b\ \iff b^2=a\\=====================\\\\$

$625|5\\125|5\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\625=5\times5\times5\times5=5^2\times5^2\\\\\sqrt{625}=\sqrt{5^2\times5^2}=(*)\\-------------------------------\\use:\ \sqrt{a\times b}=\sqrt{a}\times\sqrt{b}\ and\ \sqrt{a^2}=a\ for\ a\geq0\\-------------------------------\\(*)=\sqrt{5^2}\times\sqrt{5^2}=5\times5=\boxed{25}$

$Other\ solution:\\\\\sqrt{625}=25\ because\ 25^2=25\times25=625$

6 0

3 years ago