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olasank [31]
3 years ago
6

Two adjacent angles form a right angle. What type of angle pair do they form?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

complementary angles

Step-by-step explanation:

Adjacent angles form a right angle.

A right angle is 90 degrees.

Two angles that add to 90 degrees are complementary.

The adjacent angles are complementary

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Find the slope of the line that is parallel and perpendicular <br><br> -7x-2y=4
Rus_ich [418]

\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}

now, what's the slope of a line parallel to that one above?  well, parallel lines have exactly the same slope.

5 0
3 years ago
A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo
Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose k=3 numbers out of n=17 possible numbers and find the total amount of combinations since order does not matter:

\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680

Thus, you can make 680 three-non-repeating-number codes

8 0
1 year ago
Help..? Pleaseee , it has to do with the Pythagorean Theorem. But I have no idea how to do it
Rudiy27
Pythagorean Theorem is

a ²+ b ² = c ²

a and b are the shorter sides, while c is the hypotenuse, or longest side. Let’s say the side we are looking for is “b”.

Let’s first rearrange the equation, then sub in.

a ²+ b ² = c ²
b ² = c ²- a ²
b = √ (c ²- a ²)
b = √(17 ²- 15 ²)
b = √(289-225)
b = √ 64
b = 8
7 0
3 years ago
To the nearest hundredth of a centimeter, what is the length of the hypotenuse?
AlekseyPX
Sin 45 = 62.5/h
h = 62.5 / sin 45
h = 88.3 cm
3 0
3 years ago
Cards are drawn from a standard 52-card deck until the third club is drawn. After each card is drawn, it is put back in the deck
OLEGan [10]

Answer:

Step-by-step explanation:

Given that cards are drawn from a standard 52-card deck until the third club is drawn.

With replacement:

Drawing 3 club prob = 1/52 and non club = 51/52

a) Hence Prob (3rd club is drawn on the 8th selection)

= P(7 non 3 clubs, and one 3 club)

= (\frac{51}{52} )^7 (\frac{1}{52})

b) P(first 7 cards  non 3 club) = (\frac{51}{52} )^7

With replacement

c) P(7 non 3 clubs and 8th 3club)

= \frac{51C7 }{52C8}

d) P(atleast first 7 cards non3 club) =1-P(3 club in the 7th draws )=1-\frac{51C7 }{52(52C8)}

4 0
2 years ago
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