The picture in the attached figure
we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.
Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ
We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units
the answer isFH=16 units
Step-by-step walkthrough:
a.
Well a standard half-life equation looks like this.
is the starting amount of parent element.
is the end amount of parent element
is the time elapsed
is a half-life decay period
We know that the starting amount is 74g, and the period for a half-life is 2.8 days.
Therefore you can create a function based off of the original equation, just sub in the values you already know.
b.
This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.
c.
Now we just gotta do some algebra. Use the original function but this time, replace 
with 10g and solve algebraically.
Take the log of both sides.
Use the exponent rule for log laws that, 
slap that in your calculator and you get
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
#SPJ1
Answer:
1. B (40- 3n)
2.c (86)
Step-by-step explanation:
1. The shirts cost 3n. So you do 40- 3n(what the shirts cost) to find the amount of change he will recive.
2. Just plug the numbers in- 1.8(30) + 32=86.
Assuming the 4 girls and 2 boys are all children, the ratio of boys to toal children is 2 to 6. This can simplify to 1 to 3.
Final answer: 1 to 3
