Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Let's first set up a few equations. We know:
x + y + z = 180
y + z = 5x
z = y + 16
Let's now solve our equations through substitution. We'll substitute variable z in equations one and two for (y + 16), which is possible thanks to our third equation.
Now, our second equation has become:
y + y + 16 = 5x
So...
5x = 2y + 16
Our first equation is now:
x + y + y + 16 = 180
So...
x + 2y = 180 - 16
And...
x + 2y = 164
Finally...
x = 164 - 2y
Let's take a look at our new first and second equations:
5x = 2y + 16
x = 164 - 2y
Let's substitute again, replacing x in the first equation with (164 - 2y).
Our first equation is now the following:
5(164 - 2y) = 2y + 16
We can apply the Distributive Property to get:
820 - 10y = 2y + 16
So...
-10y - 2y = 16 - 820
-12y = -804
y = 67
Now that we have found y, we can find x and z.
We know that the third angle z is 16 more than the second, y. That was our third equation, z = y + 16.
So, z = 67 + 16.
z = 83.
We know the sum of the y and z is five times the measure of x.
(83 + 67)/5 = 30
To check our work, we can do 67 + 83 + 30 = 180. So we know we are correct.
Question 5
Simplify x2-9 / x+3
Answer:
my 8k is a responsibility to ensure the correct
Step-by-step explanation:
I hope personally is am jare for you and I hope that it is possible that I
You need a 40% alcohol solution. On hand, you have a 540 mL of a 10% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution?
Answer:
270 mL of pure alcohol is needed.
Step-by-step explanation:
In 540 mL of the mixture, you have 540*10% = 54 mL of pure alcohol.
If you add x mL pure alcohol, then you have (540 + x) mL solution, in it there is (54 + x) mL of pure alcohol
so (54 + x)/(540 + x) = 40%
Then
54 + x = 0.4(540 + x)
54 + x = 216 + 0.4 x
0.6x = 216 - 54 = 162
x = 162/0.6 = 270 mL
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
If The perimeter of a square is 48 meters what is the length of the diagonal
Answer:
approximately 17
Step-by-step explanation:
Answer:
16.97m
Step-by-step explanation:
We know that, all the 4 sides of a square are equal.
Given that,
Perimeter of the square is 48m
First, let us find the length of a side the square.
For that, let the length of a side be x.
Therefore,
x + x + x + x = 48
4x = 48
Divide both sides by 4.
x = 12 m
Now let us find the length of the diagonal using Pythagorean theorem.
For that let the length of the diagonal be y.
So,
12² + 12² = y²
144 + 144 = y²
288 = y²
√288 = y
16.97 m = y
Therefore,
The length of the diagonal is 16.97m
Find cardinal number of H= Sunday, dog, house, car, month
Answer:
The cardinal number of h is house.
Workout the solution for the equation: 3a = 15
Please help as soon as possible :D
Answer:
a = 5
Step-by-step explanation:
a = 5
all you have to do is divide both sides by 3
Answer:
A=5
Step-by-step explanation:
Divide each term by 3 and simplify :)
Hope I helped!
shapes th
7. Hilary flew from Denver to Atlanta for
business. From Atlanta, she flew to Chicago
to visit her aunt. From Chicago, she flew
back home to Denver. Classify the triangle
made by her complete flight path.
this pro
8. How many miles complete the triangle made
by Hilary's flight path?
7 and 8 please
Hilary trip is an illustration of a scalene triangle
The triangle that represents Hilary's trip can be classified as a scalene triangleHilary completed 2717 milesClassify the triangleThe triangle that represents Hilary's trip can be classified by the side lengths.
From the figure, the side lengths of the triangles are:
919 miles, 586 miles and 1212 miles
The lengths are not equal.
Triangles that do not have equal side lengths are scalene triangles
Hence, the triangle that represents Hilary's trip is a scalene triangle
The miles completed by HilaryTo do this, we simply calculate the perimeter of the triangle.
So, we have:
P = 919 miles + 586 miles + 1212 miles
P = 2717 miles
Hence, Hilary completed 2717 miles
Read more about scalene triangles at:
https://brainly.com/question/19763099
-5x - -4x - 10 = ?
Please Help Me!
Answer:
Today: Monday, 12 October 2020
Hour: 23.39 WIB (in Indonesia)
_________________________
-5x - - 4x - 10
-5x + 4x - 10
-x - 10
A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the gate. How many possible codes are there if the digits cannot be repeated?
Answer:
5040
Step-by-step explanation:
10 x 9 x 8 x 7 = 5040
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the
first day of school. He puts m mechanical pencils in each bag. He puts twice as many
regular pencils in each bag.
Which expression represents the total number of pencils Mr. Moretti gives to his students? Choose ALL that apply
Answer: 18 (m + 2m); 18m + 18 (2m); 54m
Step-by-step explanation:
The expression that represent the total no of pencil Mr. Moretti gives to his students is 18 (m + 2m); 18m + 18 (2m); 54m.
Given that,
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag.Based on the above information, the above are the expressions.
Learn more: brainly.com/question/17429689
For what value of x is the given parallelogram a rhombus ?
Answer:
x = 6
Both the angles are equal
7x + 4 = 9x - 8
9x - 7x = 4 + 8
2x = 12
x = 6
Solution:
We know that:
Both angles are equivalent.This means that:
[tex](7x + 4) = (9x - 8)[/tex]Step-by step calculations:
Open the parenthesis:
[tex](7x + 4) = (9x - 8)[/tex]=> [tex]7x + 4 = 9x - 8[/tex]Subtract 7x both sides:
=> [tex]7x - 7x + 4 = 9x - 8 - 7x[/tex]=> [tex]4 = 2x - 8[/tex]Add 8 both sides:
=> [tex]4 + 8 = 2x - 8 + 8[/tex]=> [tex]12 = 2x[/tex]Divide 2 both sides:
=> [tex]\frac{12}{2} = \frac{2x}{2}[/tex]=> [tex]x = 6[/tex]If 1,000 ml = 1 L, how many milliliters are there in 5 liters?
Group of answer choices
Answer:
5,000 mills.Step-by-step explanation:
Pls mark me brainly if I'm correct please, thanks C:
A random number generator is used to select a number from 1 to 100. What is the probability of selecting an even number
Answer:
There is a 50% chance that the random number generator picks an even number
Step-by-step explanation:
Out of all the numbers between 1 and 100, 50 out of the 100 numbers are odd and 50 out of the 100 numbers are even.
Help help math math math
Answer:
[tex]\displaystyle y = -3x + 9[/tex]
Step-by-step explanation:
First, find the rate of change of the line:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]
_______________________________________________
Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:
[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]
I am joyous to assist you at any time.
Answer:
to much math
Step-by-step explanation:
The area of a circle is 65.71cm2.
Find the length of the radius rounded to 2 DP.
Answer:
5 cm
Step-by-step explanation:
Area of a circle: [tex]\pi r^{2}[/tex] {r=radius}
[tex]\pi r^2=65.71cm2[/tex]
[tex]r^2=65.71/3.14[/tex] [tex](\pi =3.14)[/tex]
[tex]r^2=20.92[/tex]
[tex]r=\sqrt{20.92} =4.57cm[/tex]
[tex]r=4.57=5cm[/tex]
[tex]r=5cm[/tex]
[RevyBreeze]
Find the equation of a line perpendicular to 3x−2y=−3 that contains the point (−5,5). Write the equation in slope-intercept form.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{2}{3}x + \frac{5}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A line intersects the points
(-2,9) and (3, -11).
What is the slope of the line in
simplest form?
m = [?]
[tex]\\[/tex]Answer:
m = - 4
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
Substitute (-2,9) and (3,-11) into m = [tex]\frac{y_{2} -y_{1} }{x_{2} x_{1} }[/tex]
= [tex]m=\frac{-11-9}{3-(-2)}[/tex]
m = -4
Answer:
Slope (m) = -4
Step-by-step explanation:
Given :-
Points (-2, 9) and (3, -11)
To Find :-
Slope (m)
Solving :-
m = y₂ - y₁ / x₂ - x₁
= -11 - 9 / 3 + 2
= -20 / 5
= -4
Solution :-
Slope (m) = -4
you built like this lollllllllllllllllll
Answer:
yes i am
Step-by-step explanation:
thank you for noticing my style
please help me it's really urgent
Answer:
-2
Step-by-step explanation:
Using the squeeze or sandwich Theorem,
A limit of f(x) exists if
Two functions g(x) and h(x) lie above and below respectively for values near the limit.If they all approach the same limit.Since the statement establishes, that let see if they approach the same limit.
[tex]g(2) = {2}^{2} - 3(2) = - 2[/tex]
[tex]h(2) = 2 - 2(2) = - 2[/tex]
So the answer is-2
The graph of the parent functions f(x)=x^3 is translated to form g(x)=(x-7)^3+9. The point (0,0) on the graph of f(x) corresponds to which point on the graph of g(x)
Answer:
(7, 9)
Step-by-step explanation:
The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.
So the point (0,0) will land at (7,9)
Which of the following statements is TRUE?
Question 1 options:
The only factors of 9 are 1 and 9.
The only factors of 10 are 1, 2, and 10.
The only factors of 11 are 1 and 11.
The only factors of 12 are 1, 2, 6, and 12.
Answer:
the 3rd option
Step-by-step explanation:
NO LINKS!!! Solve each triangle. Part 2a
NOT A MULTIPLE CHOICE
1a. A= 40°, B= 20, a= 2
2b. A= 50°, C= 20°, a= 3
3c. B= 70°, C= 10°, b= 5
4d. A= 70°, B= 60°, c= 4
Answer:
Sum of interior angles of a triangle = 180°
Sine rule to find side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
----------------------------------------------------------------------
Question 1a
Given: A = 40°, B = 20°, a = 2
40° + 20° + C = 180°
⇒ C = 120°
[tex]\dfrac{2}{\sin 40}=\dfrac{b}{\sin 20}=\dfrac{c}{\sin 120}[/tex]
[tex]\implies b=\sin20 \cdot\dfrac{2}{\sin 40}=1.064177772...[/tex]
[tex]\implies c=\sin 120 \cdot \dfrac{2}{\sin 40}=2.694592711...[/tex]
----------------------------------------------------------------------
Question 2b
Given: A = 50°, C = 20°, a = 3
50° + 20° + B = 180°
⇒ B = 110°
[tex]\dfrac{3}{\sin 50}=\dfrac{b}{\sin 110}=\dfrac{c}{\sin 20}[/tex]
[tex]\implies b=\sin 110 \cdot\dfrac{3}{\sin 50}=3.680044791...[/tex]
[tex]\implies c=\sin 20 \cdot\dfrac{3}{\sin 50}=1.339426765...[/tex]
----------------------------------------------------------------------
Question 3c
Given: B = 70°, C = 10°, b = 5
70° + 10° + A = 180°
⇒ A = 100°
[tex]\dfrac{a}{\sin 100}=\dfrac{5}{\sin 70}=\dfrac{c}{\sin 10}[/tex]
[tex]\implies a=\sin 100 \cdot \dfrac{5}{\sin 70}=5.240052605...[/tex]
[tex]\implies c=\sin 10 \cdot \dfrac{5}{\sin 70}=0.9239626545...[/tex]
----------------------------------------------------------------------
Question 4d
Given: A = 70°, B = 60°, c = 4
70° + 60° + C = 180°
⇒ C = 50°
[tex]\dfrac{a}{\sin 70}=\dfrac{b}{\sin 60}=\dfrac{4}{\sin 50}[/tex]
[tex]\implies a=\sin 70 \cdot \dfrac{4}{\sin 50}=4.906726388...[/tex]
[tex]\implies b=\sin 60 \cdot \dfrac{4}{\sin 50}=4.522063499...[/tex]
A tank contains 340 liters of water when it begins to leak at a rate of 6 liters per minute into an empty container. Which equation shows the number of minutes, x, it will take for the tank and
the container to have the same amount of water?
The equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x.
Based on the information given, the equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x. Therefore, the number of minutes will be:
340 - 6x = 6x
Collect like terms
340 = 6x + 6x
340 = 12x
x = 340/12
x = 28.33 minutes.
In 28.33 minutes, they'll have the same content.
Read related link on:
https://brainly.com/question/17823882
Find the equation of the line from given point and slope.....
a) passes through (-5,4) and has slope, m=1/2
Answer:
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
Step-by-step explanation:
Point-slope form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the point)
Given:
[tex]m=\dfrac12[/tex][tex](x_1,y_1)=(-5,4)[/tex]Substituting these values into the point-slope formula:
[tex]\implies y-4=\dfrac12(x+5)[/tex]
[tex]\implies y-4=\dfrac12x+\dfrac52[/tex]
[tex]\implies y=\dfrac12x+\dfrac{13}2[/tex]
Slope-intercept form:
[tex]y=\dfrac12x+\dfrac{13}2[/tex]
Standard form:
[tex]x-2y=-13[/tex]
What is the image of (6,-4)after a reflection over the y-axis?
Answer:
-6 -4
Step-by-step explanation:
Help due today plsss :))
Answer:
D. g(x) = 3x²
Step-by-step explanation:
Clearly, g(x) = 9x² = (3x)².
The correct option is :-
D. g(x) = 3x²
write the equation of the line in standard form with an x intercept of -7 and a y intercept of 10
Answer:
4x + 7y - 28 = 0
Step-by-step explanation:
Solve the Proportion . Solve for X .
Answer:
where where is it
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
How many grams is in 1 kilogram
Answer:
1000
Step-by-step explanation:
There are 1000 grams in a kilogram, just do a metric unit conversion.
Hopefully this helps - let me know if you have any questions!
Donovan 2 eats 2 granola bars and drinks 1 glass of orange juice for breakfast every day. The price of a granola bar
s B dollars and the price of a glass of orange juice is J dollars.
The expression 7(2B + J) describes how much Donovan spends on breakfast in one week.
Match each amount in the situation with the expression that represents it.
Answer:
See attached image
Step-by-step explanation:
See attachment