![What Is The Measure Of Z? Z = [?]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/RJ6cRH9KQyJEBlRC5NfMphCljuUzuqZk.jpeg)
Answers
The measure of z in its simplest form is 3√11
We solve the triangle using pythagoras' theorem.
What is pythagoras' theorem?Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.
So, according to Pythagoras' theorem,
c² = a² + b²
The required equationsSince we have three right angled triangles, in the smallest right angled triangle, we have
z² = y² + 3² (1)
In the next larger right angled triangle, we have
x² = y² + 27² (2)
In the largest right angled triangle, we have
(3 + 27)² = z² + x²
30² = z² + x² (3)
Substituting (2) into (3), we have
30² = z² + x²
30² = z² + y² + 27²
30² - 27² = z² + y²
900 - 729 = z² + y²
171 = z² + y²
z² = 171 - y² (4)
Equating (1) and (4), we have
y² + 3² = 171 - y²
y² + 9 = 171 - y²
y² + y² = 171 + 9
2y² = 180
y² = 180/2
y² = 90
The measure of zSubstituting y² into (1), we have
z² = y² + 3²
z² = 90 + 9
z² = 99
z = √99
z = 3√11
So, the measure of z is 3√11
Learn more about pythagoras' theorem here:
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Answer: first answer 3, 2nd answer 10.
Step-by-step explanation:
I just did the question on acellus
Related Questions
Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle
Answers
Answer:
b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Find the values of x, y, and z in the triangle to the right
Answers
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) 3x + z = 188 {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
am i right???? Please explain even if I am???
Answers
Similar triangles have the same angle measures, but different side lengths. Generally, similar triangles are proportional.
So, we can say that AB / DE = BC / EC.
16 / DE = 12 / 9
12(DE) = 144
DE = 12
Hope this helps!! :)
8(b+1) = -11-3b. what is the answer
Answers
Answer:
B= -19/11 (negative 19 over 11)
Which compound inequality can be used to solve the inequality 3x+2>7
Answers
Answer:
3x + 2 < –7 or 3x + 2 > 7
Answer:
D: 3x + 2 < –7 or 3x + 2 > 7.
Step-by-step explanation:
determine the domain and range of the function F= {(2,1),(30,-7),(34,1),(54,0)
Answers
Answer:
Domain = 2,30,34,54
Range = 1,-7,1,0
Step-by-step explanation:
Domain = x input
Range = y output
Your function is f(x) = y.
1) (2.01) Identify domain and range. Then determine whether the relation is a function or not. Explain your reasoning.
x y
2 2
-1 4
0 6
3 2
Is this relation a function? Why or why not?
Answers
Function because every domain has one set of range.
what's name of H2CO3
Answers
Answer:
carbonic acid
Step-by-step explanation:
this is a compound called carbonic acid
george started a coin collection. his dad gave him 75 coins. each month he will add 20 coins. Which equation can be used to find y, the total number of coins in george's collection after x months? A. y = 75x + 20x By = 20x + 75 C. y = 75x - 20 D. 20x - 75
Answers
Answer: B
Step-by-step explanation: Hope this helps!
he got a one time thing of 75 coins and now gets 20 coins for each month which explains 20x. (X being the number of months)
The equation that could be used for determining the y should be option B y = 20x + 75
Calculation of an equation:
Since dad gave him 75 coins. each month he will add 20 coins.
Here we assume a number of months be x
So, the equation is
y = 20x + 75
Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75
learn more about an equation here: https://brainly.com/question/24271130
Does anyone know what the numbers on the left mean
Answers
Step-by-step explanation:
yes I know if you follow me I will give you your answer
your friend is trying to guess how much money you make at your job, so you give them a riddle. You tell your friend that you work 3 hours on Friday and 6 hours on Saturday, And that you also receive an allowance of $20 from your parents.. In total you are $92 every week. What would your friend have to guess your wage is in order to be correct?
Answers
Answer:
$8 an hour
Step-by-step explanation:
1.) 92 - 20 = 72
2.) 3 x 8 = 24
3.) 6 x 8 = 48
4. 24 + 48 = 72
OR
1.) 92 - 20 = 72
2.) 6 + 3 = 9
3.) 72 / 9 = 8
either way to solve gives you the correct answer as shown above. Also if answer is correct please leave ”thanks” heart
Select the correct answer.
The slope of FG is 4. Point Fis located at (2,3). Which could be the coordinates of point G?
OA (6,4)
OB. (3,7)
OC. (6,7)
D.(8,12)
Answers
Answer:
B
hope it helped
Coordinates of G will be : (3, 7)
What is a slope?
Slope of a line is a number that describes both the direction and the steepness of the line.
Since , slope of line = (y2-y1)/ (x2-x1) equation 1
According to question :
given : slope =4
F is located at (2,3), which implies x1 = 2 and y1 = 3
now , substituting the value in equation 1 , we get
4 = y2 - 3 / x2 - 2
4 * x2 - y2 = 5 equation 2
Using above options , let us do hit and trial method in order to find answer.
Firstly let us take option A) 6,4
putting value of x2=6 in equation 2 and see if y2 comes 4 or not?
4*(6) - y2 =5
y2 = 24-5
y2 = 19 which is not equal to 4 , hence this is incorrect option.
secondly , let us take option B) 3,7
similarly we get ,
4* 3 - y2 =5
12 -5 = y2
y2=7 hence this is the correct option
B) 3,7 is the answer
let us learn more about slope
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Below is the graph of y= |xl.
Translate it to make it the graph of y=
v = (x+3| +4.
Answers
Part 2: Write a rule to describe each transformation
NO LINKS! NO ASSESSMENT!
Answers
Answer:
(x, y) → (x, -y)Step-by-step explanation:
We can see each corresponding point of the figures is mirrored over x- axis.
This is a reflection and the rule is:
(x, y) → (x, -y)Answer:
(x,y) => (x, -y)
Step-by-step explanation:
U in -x, y -> U' in -x, -y(transformation : x to x and y to -y)
T in -x, -y -> T' in -x, y(transformation : -x to -x (stand) and -y to y)
V in -x, y -> V' in -x, -y(transformation : -x to -x (stand) and y to -y)
So The Rule is :
(x,y) => (x, -y)#LearnWithEXO
i need help with questions 1-10 i dont know how to do financial math and can i see how the work is done please
Answers
Help asapppp pleaseeeeeee
Answers
5 and 6 , 5.292
7 and 8 , 7.874
8 and 9 , 8.718
10 and 11 , 10.247
Solve for x. x 2 = 1 3 A) 6 B) 1 6 C) 2 3 D) 3 2
Answers
Answer:
The answer is not given in the options.
Step-by-step explanation:
2x = 13
or, 2x/2 = 13/2 (multiplying with (1/2) in both sides)
or, x = 13/2
or, x = 6.5
Explain step by step please!
Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?
Answers
Answer:
Each book weighs 2.5 pounds.
Step-by-step explanation:
75/2.5 is 30. Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.
Answer:
2.5lb
Explanation:
In equation form the question is asking for x in
[tex]30(x) = 75[/tex]
Since multiplication is reversible (to be division), we can switch the equation up.
[tex]75[/tex] ÷ [tex]30 = x[/tex]
So the answer is
[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]
Find the least common multiple of 6, 10, and 5.
Answers
Answer:
30
Step-by-step explanation:
First, let's list the first 10 multiples of 6, 10, and 5.
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...
Ah ha!
Can you see a common multiple? It is 30, isn't it?
So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answers
Answer:
duh
Step-by-step explanation:
Just need someone to clarify things with me!
As I was solving this equation, I got:
x^-2
-------
x^10
I moved x^-2 down with x^10
So in x^-2's place, I placed a positive 1.
1
----------------------
x^10 times x^-2
The radical rule here is to pretty much subtract ahead. However, this extremely smart person said something like if I move a negative number to the denominator, it becomes positive. However, in this case, x^-2 stays the same.
Anyone explain here??
Answers
Answer:
[tex]\frac{1}{x^{12} }[/tex]
Step-by-step explanation:
Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]
The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]
Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1: [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]
Then, you'll have to work on the denominator:
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]
Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:
[tex](x^{-5})^{2} = x^{-10}[/tex]
Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.
[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]
At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]
So the denominator now becomes:
[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]
Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:
[tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]
Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]
solve
anglessssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
x = 12
Step-by-step explanation:
−x2 if x=−4 pls help
Answers
Answer:
x=4
Step-by-step explanation:
Will mark as brainlist answer quickly
Choose the present perfect tense for the following verb.
make
Marcet_____ her special chocolate cake many times.
has maked
have made
has made
made
Answers
Answer:
Marcet has made her special chocolate cake many times.
Please mark as Brainliest, thank you!
Please help
100 point question
I will mark brainliest
Please answer the questions in the picture
Thanks :)
Answers
Answer:
5. yes It still has the same density because it is the same thing.
6. a. float less than one
b. Float less than one
C. Sink greater than one
7. 1652.4 This is because the density equation is mass/volume. We have the density and mass but no volume. do get it we need to re arrange the equation. mass x density = volume.
Step-by-step explanation:
Write the slope-intercept equation of the line passing through (3.4, 17.8) and (5.7, 64.7). Round the final slope and y-intercept to the nearest tenth in your answer. Show clear work.
Answer:
Answers
Answer:
y = 20.39x - 51.526
Step-by-step explanation:
y2 - y1 / x2 - x1
64.7 - 17.8 / 5.7 - 3.4
46.9/2.3
= 20.39
y = 20.39x + b
17.8 = 20.39(3.4) + b
17.8 = 69.326 + b
-51.526 = b
log2 (x - 1) - log6(x + 2) = 2
Answers
Answer:
log2(x - 1) - log6(x + 2) = 2
x ≈ 12.1485
Victor has 2 times as many as trophies as Dean. Together , víctor and Dean have 27 trophies . How many trophies does víctor have?
Answers
Answer:
Victor has 18 trophies
Step-by-step explanation:
Let's set up "let statements"
Let d = Dean's trophies
Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...
Let 2d = Victor's trophies
Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...
2d + d = 27
Combine like terms...(2d and d)
3d = 27
Divide 3 on both sides to isolate the variable "d"
3d ÷ 3 = d
27 ÷ 3 = 9
So...
d = 9
That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...
2 · 9 = 18
Therefore, Victor has 18 trophies!
Hope this helps :)
Answer:
Vitor has 18 trophies and Dean has 9.
Step-by-step explanation:
graph this linear equation
y-2=4(x-1)
Answers
x= 0,1
y= -2,2
Slope 4
Y-Intercept (0,-2)
please help me with this sum
Answers
answer:
1) 271
2) 151
3) 169
4) 62
5) 90
