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Serjik [45]
2 years ago
13

If 9 = c, then c = 9. What algebraic equality property justifies the above statement?

Mathematics
1 answer:
netineya [11]2 years ago
4 0
Symmetric property is the correct term
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A skier moves 100.0 m horizontally, and then travels another 35.0 m uphill at an angle of 35.0º above the horizontal. What is th
vazorg [7]
Because there isnt 90 degrees angle in this triangle (triangle - starting point - point where he starts climbing- ending point) we will use cosine law to find magnitude of displacement. For cosine law we need 2 sides of triangle and angle between them which is exactly what is given.

a^2 = b^2 + c^2 - 2*b*c*cos(alpha)
after expressing values we get:
a^2 = 10000 + 1225 + 5734
a = 130,2 meters

to calculate angle we again use cosine law but now our unknown variable is angle alpha. our sides we will use are 100 meters and 130,2 meters because we need angle between them.

cos(alpha) = (b^2 + c^2 - a^2)/(2*b*c)
cos(alpha) = 0.98
alpha = 8.89 degrees

8 0
2 years ago
N JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?
Leya [2.2K]
KL=2*JL
I tried to find the rest of the question online, and I'm not sure if radicals couldn't show up or something, but attached is an image of the rules for a 30-60-90 triangle, so hopefully this helps.

3 0
2 years ago
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
Zina [86]

Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

The equation of the line in point slope form is

y-y1=m(x-x1)

we have

y-1=(1/4)(x-12)

so

m=1/4

(12, 1)

step 2

Find the equation of the line in standard form

The equation of the line in standard form is

Ax+By=C

where

A is positive integer

B and C are integers

we have

y-1=(1/4)(x-12)

Multiply by 4 both sides to remove the fraction

4y-4=(x-12)

x-4y=12-4\\x-4y=8

8 0
2 years ago
Read 2 more answers
Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B
Taya2010 [7]
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles
8 0
2 years ago
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