Answer:
65
Step-by-step explanation:
Exterior angle = Sum of 2 interior angles
x + 31 = x + x - 34
x + 31 = 2x - 34
x - 2x = - 34 - 31
- x = - 65
x = 65
Step-by-step explanation:
A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.
[tex]x+x-34+180-x-31=180[/tex]
[tex]x=180-115[/tex]
[tex]x=65[/tex]
pls help me with this question and reply answer
Step-by-step explanation:
From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.
Wrapping a Package It takes 70 inches of ribbon to make a bow and wrap the ribbon
round a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What
the height of the box?
-14 in. -
First subtract the amount the bow takes from the total:
70 - 32 = 38 inches
The width is 14 on top and bottom so subtract 14 x 2 = 28 from 38:
38-28 = 10
Divide 10 by the 2 sides:
10/2 = 5
The height is 5 inches.
What’s this topic called
Answer: MATH
Step-by-step explanation:
Answer:
answer for the question is
x = 1
y = 4
subject is math btw if you are asking about that
If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.
Jo bought a used car for $6000 and paid a 15% deposit. How much did he still have to pay?
Answer:
900 is the correct awnser
Solve by substitution:
y=x-12
8x+8y=-16
Answer:
[tex](x,y) = ( 5 , - 7)[/tex]
Step-by-step explanation:
we would like to solve the following system of linear equation by substitution:
[tex] \displaystyle \begin{cases} y = x - 12\\ 8x + 8y = - 16\end{cases}[/tex]
notice that, we're already given the value of y therefore simply substitute it to the II equation
[tex]8x + 8(x - 12) = - 16[/tex]
distribute:
[tex]8x + 8x - 96= - 16[/tex]
simplify addition:
[tex]16 x- 96= - 16[/tex]
isolate -96 to left hand side and change its sign:
[tex]16 x= - 16 + 96[/tex]
simplify addition:
[tex]16 x= 80[/tex]
divide both sides by 16 and that yields:
[tex] \boxed{x= 5}[/tex]
now substitute the got value of x to the first equation:
[tex]y = 5- 12[/tex]
simplify subtraction:
[tex]y = - 7[/tex]
hence,
the solution is (x,y)=(5,-7)
Solve by substitution :
y = x - 12
8x + 8y = -16
S O L U T I O N :y = x - 12 ------- eq(1)
8x + 8y = -16 ------- eq(2)
Finding x ⤵
Putting y = x - 12 in eq(2) we get
8x + 8(x - 12) = -168x + 8x - 96 = -1616x = 96 - 1616x = 80x = 80/16x = 5Finding y ⤵
Putting x = 5 in eq(1) we get
y = x - 12y = 5 - 12y = -7Hence, x is 5 and y is -7
HAI HELP ME ASAP PLEASE
Answer:
Y/X = 2/3 x^2 + 16/3
Y= 2/3 x^3 + 16/3 x
Just replace y with y/X and X with x^2
The scale on a map is 1 inch = 10 miles.
What is the distance, in inches, on the map
between two towns that are m miles apart?
F.
m/10
G. M/5
H.5m
J.10m
K.m+10
Answer:
F. m/10.
Step-by-step explanation:
10 miles = 1 inch
1 mile = 1/10 of an inch so
m miles = m/10 inches.
Which graph represents the function f(x)=|x−1|−3 ?
Find the first three terms of the sequence below. 3n^2+5n−2
Answer:
-2, 6, 20 ,...
Step-by-step explanation:
3n² +5n -2
if n=0 , then 3*0² +5*0 -2= -2
if n=1, then 3*1² +5*1 -2 = 3+5-2 = 6
if nu 2, then 3*2² +5*2 -2 = 12 +10 -2 = 20
In the equation $\frac{1}{j} + \frac{1}{k} = \frac{1}{3}$, both $j$ and $k$ are positive integers. What is the sum of all possible values for $k$?
Answer:
Hello,
answer 22
Step-by-step explanation:
[tex]\dfrac{1}{j} +\dfrac{1}{k} =\dfrac{1}{3} \\\\\dfrac{k+j}{j*k} =\dfrac{1}{3} \\\\\\3k+3j=j*k\\\\k(3-j)=-3j\\\\k=\dfrac{3j}{j-3} \\\\k=\dfrac{3j-9+9}{j-3} \\\\k=3+\dfrac{9}{j-3} \\\\\\j-3\ must\ be \ a divisor\ of\ 9 ==> 1,3,9\\\\j-3=1 ==> j=4 , k=3+\dfrac{9}{1} =12\\\\j-3=3 ==> j=6 , k=3+\dfrac{9}{3} =6\\\\j-3=9 ==> j=12 , k=3+\dfrac{9}{9} =4\\\\\sum\ k=12+6+4=22\\[/tex]
The sum of all possible values for k is 22.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/j + 1/k= 1/3
Simplifying the fraction
(k+ j)/ kj= 1/3
3k + 3j = kj
k(3- j) = -3j
k = -3j/ (3- j)
k= 3j/ (j-3)
k = 3j + 9 - 9 / (j-3)
k = 3 + 9/ (j-3)
Since (j-3) must be divisor of 9.
j- 3 = 1---> j=4, k= 3 +9 = 12
j- 3 = 3---> j=6, k= 3 +9/3 = 6
j- 3 = 9---> j=12, k= 3 +9/9 = 4
So, The sum is = 12+ 6 + 4 = 22
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ6
State the slope of the line shown below (help ASAP)
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the above graph depicts a horizontal line that intersects the y axis at -2)
(so, y = -2)
Answer:
0
Step-by-step explanation:
Horizontal line x axis is 0 while the vertical y axis is undefined.
A payday loan store charges $25 for a one-month loan of $600. What annual interest rate is this equivalent to?
Answer:
50%
Step-by-step explanation:
1. determine the monthly interest rate
monthly interest rate = interest / loan amount
monthly interest = 25 / 600 = 4.17%
2, multiply the monthly interest rate by 12 to determine the annual interest rate
Annual interest = 4.17 x 12 = 0.5 = 50%
1.Waheeda mixes water with some lemon juice to make lemonade. Write an equation to represent how much lemon juice is needed when Waheeda uses 18 ounces of water.
2. Identify the independent and dependent variables in the situation.
Independent variable: Dependent variable: b) Write an equation representing the amount Waheeda earns in relation to the number of glasses of lemonade she sells.
Equation: c) In which Quadrant of a graph would her data appear? Explain.
1. The equation is 18 = 3 × x
2. a) The independent variable is the of ounces of lemon juice in the lemonade
b) A = a × b
c) First quadrant
The procedure to find the above answers are presented here as follows;
1. The following is the table of values of the data
[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]
The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;
y ∝ x
∴ y = k × x
Where;
k = The constant of proportionality
k = y/x
Therefore;
k = 6/2 = 9/3 = 12/4 = 15/5 = 3
k = 3
y = k × x
∴ y = 3 × x
Therefore;
The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water is given by placing y = 18 in y = 3 × x as to get;
18 = 3 × x
∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water
2. The independent variable is the input or causing variable that determines the output variable
Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade
b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;
A = a × b
c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant
Learn more about dependent and independent variable here;
https://brainly.com/question/18456313
The width of a rectangle is 9
inches less than the length. The
perimeter is 86 inches
Answer:
Below.
Step-by-step explanation:
If the length is x then the width is x-9 inches.
Perimeter
= 2L + 2W = 86
2x + 2(x - 9) = 86
4x - 18 = 86
4x = 104
x = 26
So the length is 26 inches and the width is 17 inches.
How to muilti step equation this problem
Solve for x.
X-4 = 8
*
3
Answer:
The answer is X=28.
Can someone pls help with this
here it is :)
do check properly, I have given step by step instructions:)
do give feedback on my answer, would appreciate it!
Answer:
900000
Step-by-step explanation:
[tex]30*10^{4}[/tex]
=3*10000
=30000
=30*30000
=900000
Please help me anyone
Replace x with -11 and solve:
Y = (-11)^2 + 11
(-11)^2 = 121
Y = 121 + 11
Y = 132
Answer: 132
Answer:
132
Step-by-step explanation:
y = x^2 +11
Let x = -11
y = (-11)^2 +11
= 121+11
= 132
[tex](a+b)^{2}[/tex]
Answer:
[tex] ({a + b})^{2} [/tex]
[tex](a + b)(a + b)[/tex]
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
hope this help you
CKPenny is selling 50 coats. Each coat with a hood have 5 buttons and each coat without a hood have 10 buttons. If there are 400 buttons among all the coats, how many coats don't have hoods?
Answer:
40 coats don't have hoods
John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?
The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.
Answer:
Step-by-step explanation:
Given :
45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44
Using technology, the box and whisker plot generated for the data is attached below.
The 5 - number summary is also given below :
Minimum: 39
Median: 45
First quartile: 42
Third quartile: 47
Interquartile Range: 5
Maximum: 49
Outliers: none
Answer:
Step-by-step explanation:
A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.
Answer: [tex]4004.76\ ft[/tex]
Step-by-step explanation:
Given
inclination is [tex]\theta=75^{\circ}[/tex]
Mountain is [tex]h=3900\ ft[/tex] high
Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain
From the figure, length of the shortest path is [tex]l[/tex]
It is given by using Pythagoras theorem
[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]
lcm of 12x² and 48xy
Answer:
576xxxycm
Step-by-step explanation:
1cm×12x×x+48xy=576xxxycm
Identify the construction that the figure represents
Answer:
Not sure if this will help but that looks like a bisection of angles BAC and TSR.
The square of y varies directly as the cube of x.When x=4 y=2.Which equation can be used to find other combinations of x and y
Answer:
y² = (1/16)x³
Step-by-step explanation:
Given that :
y² varies directly as the cube of x
y² α x³
y² = kx³ - - - (1)
Where, k = constant of f proportionality
We can obtain the value of k ; when x= 4 and y = 2
2² = k4³
4 = 64k
k = 4/64
k = 1/16
Putting k = 1/16 in (1)
y² = (1/16)x³
C. Examine the hourglasses (A), (B), and (C) and
find the best answer.
6
(A)
(B)
.(C)
6
a) (B) shows the most time passed.
b) (A) shows the most time passed.
c) (C) shows the most time passed.
d) (A), (B), and (C) show the same time passed.
6
Answer:add a screenshot
Step-by-step explanation:
I can't see the our glasses
This is for geometry, please help ASAP
Answer:
Option C,
y² = 18x, since the graph opens right
Answered by GAUTHMATH
what is value of y if 2x+3y=4
Answer:
y=(4-2x)/3
Step-by-step explanation:
3y= 4-2x
y= (4-2x)/3
Find the length of the third side. If necessary, round to the nearest tenth. 5 10
Answer:
[tex]\boxed {\boxed {\sf 8.7}}[/tex]
Step-by-step explanation:
We are asked to find the length of the third side in a triangle, given the other 2 sides.
Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.
[tex]a^2 + b^2 =c^2[/tex]
In this theorem, a and b are the legs of the triangle and c is the hypotenuse.
We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.
b= 5 c= 10Substitute the values into the formula.
[tex]a^2 + (5)^2 = (10)^2[/tex]
Solve the exponents.
(5)²= 5*5 = 25 (10)²= 10*10= 100[tex]a^2 + 25=100[/tex]
We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.
[tex]a^2 +25-25=100-25[/tex]
[tex]a^2=100-25[/tex]
[tex]a^2 = 75[/tex]
a is being squared. The inverse of a square is the square root, so we take the square root of both sides.
[tex]\sqrt {a^2}= \sqrt{75}[/tex]
[tex]a= \sqrt{75}[/tex]
[tex]a= 8.660254038[/tex]
Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.
[tex]a \approx 8.7[/tex]
The length of the third side is approximately 8.7
Using Pythagorean theorem
[tex]\boxed{\sf B^2=H^2-P^2}[/tex]
Putting values[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]
[tex]\\ \sf \longmapsto B^2=100-25[/tex]
[tex]\\ \sf \longmapsto B^2=75[/tex]
[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]
[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]
[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]
[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]
[tex]\\ \sf \longmapsto B=8.66[/tex]
[tex]\\ \sf \longmapsto B\approx 8.7[/tex]