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Dvinal [7]
3 years ago
7

Are these angles supplementary or congruent,

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
They are supplementary
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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
3 years ago
What is the solution to the linear equation?
Vikki [24]

Answer:

x=-5

Step-by-step explanation:

7 0
3 years ago
7x+18−6(x+1)−12 Please answer this you get 10 points!!!!
ra1l [238]

Answer:

x

Step-by-step explanation:

7x+18−6(x+1)−12

start out with distributive property

7x+18+(-6x)+(-6)+(-12)

then add the common things together

x+0

answer is just x, or infine answers, you could put in anything for x

7 0
3 years ago
The least common multiple of 9 and 42 through prime factorization?
LUCKY_DIMON [66]

Answer:

3

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0
3 years ago
You are going to a fair! It costs $6 for the
inna [77]

Answer:

5

Step-by-step explanation:

21-6=15/3=5

8 0
3 years ago
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