"Solve for the variables x, y, and z in each triangle."
I found some answers but I'm not entirely sure. Please help.
I got... but I'm not sure about x ...
[tex]z = 10[/tex]
[tex]y = 10 \sqrt{3} [/tex]
[tex]x = 2 \sqrt{3} [/tex]
Answers
Let O be the point on leg GK directly below the vertex at H.
Then triangles GOH and HOK are similar triangles, so that corresponding sides occur in a fixed ratio with one another. In particular,
GO/H.O = H.O/KO
5/x = x/15
x² = 75
x = √75
x = √(3 • 25)
x = 5√3
Solve for y and z using the Pythagorean theorem.
x² + 15² = y²
75 + 225 = y²
y = √300
y = √(3 • 100)
y = 10√3
x² + 5² = z²
75 + 25 = z²
z = √100
z = 10
Related Questions
Adrian invests money in an account paying a simple interest of 3% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?
Answers
Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
Simple interestGiven that Adrian invests money in an account paying a simple interest of 3% per year, to determine, if no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step, the following calculation must be performed:
Current balance = XInterest = 3% = 3/100 = 0.03Interest + principal = 1.031.03X = Total balance in a yearTherefore, Adrian must multiply his money by 1.03 to find his total balance in a year in one step.
Learn more about simple interest in https://brainly.com/question/9895511
every 11 days my dog eats 3 cupcakes. How many does my dog eat in 22 days?
Answers
The dog eats 6 cupcakes in 22 days.
(don't know why a dog would be eating cupcakes in the first place, but sometimes math questions don't make the most sense)
Answer:
6 cupcakes
Step-by-step explanation:
"Every 11 days, my dog eats 3 cupcakes" can be written as a proportional relationship in fraction form: [tex]\frac{11}{3}[/tex].
Now, let's set a proportion between the values given.
[tex]\frac{11 days}{3 cupcakes} = \frac{22 days}{x cupcakes}[/tex]As you can see, the number of days is multiplied by 2 to get 22 days. Whatever we do to the numerator, we must do to the denominator. Then, 3 multiplied by 2 is 6.
Therefore, the answer is 6 cupcakes.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Would the graph be continuous or discrete, and why?
Answers
Answer:
An example of this would be height. When figuring out if a graph is continuous or discrete we see if all the points are connected. If the line is connected between the start and the end, we say the graph is continuous. If the points are not connected it is discrete.
Write an equation of a line
when bis 5 and m is -2
Answers
Help me please if you can
Answers
Answer:
-2
Step-by-step explanation:
Add them up: -14
Divide by how many there are: -14 / 7 = -2
A factory made 42 packs of mint-flavored gum and 58 packs of fruit-flavored gum. What
percentage of the packs contained mint gum?
Answers
Answer:
Total = 42+58 = 100
Now,
percentage of mint gum = 42/100 × 100%
= 42%
42% of packs contained mint gum.
Ari is recording the number of laps he walks around the track each day, On Day 1, he walks 8 laps. On Day 2, his number of laps
increases by 25%. On Day 3, he walks 1 less lap than he did on Day 2
What was the percent decrease from Day 2 to Day 3?
Answers
Step-by-step explanation:
to compare day 1 with day 2 :
100% = 8
1% = 100%/100
25% = 25×1% = 100% × 25/100 = 8 × 1/4 = 2
so, on day 2 he walks 8+2 = 10 laps.
on day 3 he walks then 10-1 = 9 laps.
so, now, to calculate the % decrease compared to day 2
100% = 10
1% = 100%/100 = 0.1
how many % is represented by this 1 lap he was walking less ?
1 / 1% = 1 / 0.1 = 10%
so he had a 10% decrease from day 2 to day 3.
Answer:
10%
Step-by-step explanation:
I took the test
what is 2x =6.5
And how
Answers
Answer:
Step-by-step explanation:
2x =6.5
To find the value of x, divide both sides by 2 so you will have 1x.
x = 3.25
Answer:
2x = 6.5
x = 6.5/2
(move the 2 and flip its sign. It was multiplication before the equal sign, so now it will be division.)
x = 3.25
does any body know Which decimal is equivalent to 110 thank you
Answers
Answer:
1.1 x [tex]10^{2}[/tex]
Step-by-step explanation:
Use scientific notation to move the decimal point 2 spaces to the left, resulting in an answer of 1.1 x [tex]10^{2}[/tex]
Answer: 1.1x10^2
been a while sorry if its wrong
Finding the inverse function for f(x)=1/x^2
Answers
to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".
[tex]\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}[/tex]
What is 516 expressed as a percent?
Enter your answer as a decimal in the box.
Answers
Answer: 516 out of 100 would be 516%
Determine whether the relation is a function.
{(-4,-5), (-2, -9), (2, -8), (2, 8)}
O Not a function
O Function
someone please help!!!!
Answers
Answer:
NOT a function!
Step-by-step explanation:
A function is a relation where each input has only one and ONLY one output. For example, for the number 2 in a relation, that number 2 can only have one other y value it is paired with, it can not have more than one.
For example, in this problem the number 2 is stated twice. One set has (2, -8) and (2, 8), so that means this input has more than one output. Therefore, this relation is NOT a function.
Hope this helps and please mark brainliest if possible :0
Any questions please put in the comments.
find the range 25,5,101,16,78
Answers
Answer:
96
Step-by-step explanation:
range=hv_lv
101-5=96
Which expressions are greater than 250?
Choose 2 answers:
А
2 x 250
x 250
x 250
10
x 250
8
Answers
Megan runs at an average rate of 12 minutes per mile. How many miles will she run in an hour?
Answers
60/12 is 30/6 is 15/3 is 5 miles.
Use the distributive property to simplify this expression: 0.1(2x+3)
Answers
[tex]\huge\text{Answer:}[/tex]
[tex]\huge\mathrm{0.2x+0.3}\checkmark[/tex]
[tex]\huge\text{Solution:}[/tex]
Hi there, hope you are having a great day! :)
[tex]\bigstar\star\star\sf{What\:is\:the\:Distributive\:Property?}[/tex]
The Distributive Property is a property which states that
[tex]\longmapsto\sf{a(b+c)=ab+ac[/tex]
Now, let's apply this property:
[tex]\longmapsto\sf{0.1(2x+3)[/tex]
[tex]\longmapsto\sf{0.2x+0.3}[/tex] (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
A researcher wants to collect data on how many hours bears sleep during the year. The researcher decides to put an electronic device on all bears that live less than one-half mile from the research station. Are the conclusions drawn from this sample likely to be true for all bears?
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
There are choices of 18 Birthday cards,
6 Get Well cards, 9 Graduation cards,
and 12 Anniversary cards. You select
one of each. What is the total number
of ways the cards can be selected?
Answers
Step-by-step explanation:
you have 18 choices for the birthday cards.
for each of these 18 choices you have 6 choices to get well cards. that means there are 18×6 choices just for these 2 card types alone.
for each of these 18×6 choices you have then 9 choices of graduation cards. that is in total 18×6×9 choices.
for each of these 18×6×9 choices you have then 12 choices of anniversary cards. that is in total
18×6×9×12 choices = 11,664 choices or ways the cards can be selected.
Rectangle ABCD is graphed on a coordinate plane. The following vertices of the rectangle:
A(-4,-2)
B(-2,-2)
C(-2,7)
D(-4,7)
What is the area (in square units) of rectangle ABCD?
Answers
Answer:
126
Step-by-step explanation:
The difference of Y in terms of D - A = 7 + 2 = 9
The difference of X in terms of D - C = 7 + 7 = 14
Area = 9 × 14 = 126
Devide the p(x)=x³+3x+1by (x+5)and find remainder...
Answers
In this exercise we have to use the concept of division to calculate how much of it is left, like this:
[tex]-27/8[/tex]
First, let's calculate the value of X from the equation given in the utterance as:
[tex]5+2x=0\\2x=-5\\x=5/2[/tex]
Substituting the found value of X into the equation we have:
[tex]x^3+3x^2+3x+1\\= (-5/2)^3+3(-5/2)^2+3(-5/2)+1\\= -125/8+75/4-15/2+1\\= (-125+150-60+8)/125\\= -27/8[/tex]
See more about division at brainly.com/question/369266
NO LINKS!! Please help me with this trig function problem.
Answers
You just need a slight idea about phase shift of waves .And it's just similar like that
Translate The sum of two consecutive integers is 33
Answers
Answer:16,17
Step-by-step explanation:16+17=33 consecutive interfere are #that are next to each other.
Solve (3x – 2)= 49 using the Square Root Property (completing the square).
Answers
Answer:
(3x-2)=49
(3x-2)=7×7
3x=7×7+2
3x=49+2
3x=51
3x/3=51/3
×=17
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,64) and (6,96) to find the
number of soda bottles the machine can make
each minute.
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{64})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{96}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{96}-\stackrel{y1}{64}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{4}}}\implies \cfrac{\stackrel{bottles}{32}}{\underset{mins}{2}}\implies \cfrac{\stackrel{bottles}{16}}{\underset{mins}{1}}[/tex]
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
If sin2M = COS2N and m N= 30°, what is the measure of _M?
150°
90°
60°
30°
Answers
Answer:
below
Step-by-step explanation:
n = 30
cos 2*30 = cos 60 = 1/2
sin 30 = 1/2
2m = 30
m=15
Worth MANY POINTS NO NEED TO SHOW WORK
Answers
A rectangle is a quadrilateral- Always True
A square is a rectangle- Always True
A rhombus is a rectangle- Sometimes True
A square is a rhombus- Always true
A parallelogram is a rhombus- Sometimes true
A rhombus is a square- Sometimes true
A rectangle is a square- Sometimes true
A rectangle is a parallelogram- Always true
Write a graph an inequality to match each situation: The fish weighed at least 16 pounds
Answers
X is fish weight. X is greater than or equal to 16 pounds
A tower leans at an angle of about 84.7°. The figure shows that 193 feet from the base of the tower, the angle of elevation to the top is
46.2°. Find the distance, to the nearest foot, from the base to the top of the tower.
Answers
Answer:
the distance to the nearest foot from the base to the top of the tower is 184 feet .
Step-by-step explanation:
what do i like to eat at 5:43pm in my country? what am i doing?
Answers
Answer:
pasta. you're studying physics
Step-by-step explanation:
8)90 5. The fourth grade classes are going on a field trip. There are 90 students in all. Each van can seat 8 students. How many vans will be needed? 90 : 8 =
Answers
Answer:
12
Step-by-step explanation:
90 divided by 8 = 11.25, so you need 12 vans
