Answer:
x = 60°
Step-by-step explanation:
Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.
Answer:
X= 60° because vertically opposite angles
A study indicated that residents of manchester wasted 2695 gallons of water this tear. That is 50% less than last year . How many gallons of water did the city's residents waste last year?
Answer:
5390 gallons of water was wasted by the city's residents last year.
Step-by-step explanation:
Let [tex]x[/tex] denotes gallons of water wasted by the city's residents last year.
Gallons of water wasted by the city's residents this year = 2695 gallons
This is 50% less than last year.
Therefore,
[tex]x-\frac{50}{100}x=2695\\\\\frac{50}{100}x=2695\\\\\frac{x}{2} =2695\\\\x=2(2695)[/tex]
[tex]x=5390[/tex] gallons
So, 5390 gallons of water was wasted by the city's residents last year.
A model of Pythagorean Theorem is shown below. Based on the
information in the model, which equation represents the
Pythagorean theorem?
A. 1442 + 252 = 1692
B. 122 + 52 = 132
169
square
units
C. 12 + 5 = 13
144
square
units
D. 132 + 52 = 122
25
square
units
what is the slope intercept equation for the following line? 
(see image)
Answer:
y = x + 1
Step-by-step explanation:
You can immediately read off the y-intercept from the graph: (0, 1). The slope of this line is negative. Choosing two different points on this line leads to finding the slope of the line: (0, 1) and (2, -1) Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2. Thus, the slope is m = rise/run = 2/2 = 1.
The slope-intercept equation of this line is therefore y = x + 1.
Answer:
y=-1x+1
Step-by-step explanation:
To find the slope, we can use rise (vertical) over run (horizontal).
m=rise/run
We can see that from the first point to the second point, x increased by 2 and y decreased by 2.
The rise is -2 and the run is 2.
m=2/-2=-1.
The slope is -1.
Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)
This point is at (0,1), so b=1.
The y-intercept is 1.
This is the format for slope-intercept form: y=mx+b.
The slope-intercept equation is y=-1x+1.
helppppppppppppppppppppp
Answer:
Cubic
Step-by-step explanation:
A cubic polynomial has a highest degree of 3.
In this polynomial, we see "q^3" meaning that q is raised to the 3rd power, making this a cubic polynomial.
Hope this helps!
Evaluate: 4+8 divided by 2x (6-3)
Answer:
Step-by-step explanation:
(4+8)/(2x(6-3)) = 12/(2x(6-3)) = 12/6x = 2/x
Answer:
2x
Step-by-step explanation:
help with full calculations please and thank you
Answer:
x = 13
Step-by-step explanation:
1. We can tell if the radical is in its simplest form if the square root term is a number that cannot be broken down to give a perfect square factor
what we are saying in this case is that if the number that is under the square root sign is one in which cannot be broken down to give a perfect square or that a perfect square is not its factor. Then it is in the simplest form
2. 512 = 2^(x-4)
512 = 2^9
2^9 = 2^(x-4)
since base is equal, we equate the powers
9 = x - 4
x = 9 + 4
x = 13
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
Plz Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the x coordinate is 5
the y coordinate is 4
Step-by-step explanation:
the x coordinate would be wherever the dot is on the horizontal line
the y coordinate would be wherever the dot is on the vertical line
Find the LCD for the pair of fractions.
7 8
and
9 15
i need help. PLEASE, I dont know what to do
Answer:
HELL I DON'T EATHIER
Step-by-step explanation:
The table shows the number of students who ate different foods for lunch.
Food Students
Mac and cheese 6
Burger 7
Pizza 13
Salad 4
What is the ratio of students who ate pizza to students who ate mac and cheese?
a
6 : 30
b
6 : 13
c
13 : 7
d
13 : 6
Which one is it?
Answer:
13:6 D
Step-by-step explanation:
A ratio is just a comparison between two numbers. its asking for pizza students first so you enter that number first then it asks for the number of mac and cheese so you input that number.
The ratio of students who ate pizza to students who ate mac and cheese is 13:6.
From the given table we need to find the ratio of students who ate pizza to students who ate mac and cheese.
What is a ratio?In mathematics, a ratio indicates how many times one number contains another.
Now, pizza: mac and cheese=13:6
Therefore, the ratio of students who ate pizza to students who ate mac and cheese is 13:6.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ2
how to write 1/x^5 using negative exponents.
Answer:
The answer is
[tex] { x }^{ - 5} [/tex]
what is the answer to 1 3 x + 5 x = -6
Answer:
x2-6=5x
Step-by-step explanation:
Answer:
x = -1/3
Step-by-step explanation:
13x + 5x = -6
=> 18x = -6
=> x = -6/18
=> x = -1/3
Hope it helps :)
please mark my answer as the brainliest
Hi please I need help. I would really appreciate it. I hope y’all can see the picture this time.
Answer:
-42
Step-by-step explanation:
Looking at the numbers I can tell that it's decreasing at a constant rate (as in the rate of change is constant). This means that we're dealing with an arithmatic sequence and the common difference is -5. The equation we want is as follows
a+(n-1)d
Where a is the beginning value
n is the nth germ
d is the common difference
we have
3+(10-1)*-5
3+(9)*-5
3-45
-42
Simplify: (p-q)^2 + 2pq
Answer:
(p-q)^2+2pq
= p^2-2pq+q^2+2pq
= p^2+q^2
Step-by-step explanation:
Please mark me the brainliest :-)
2 (X+3)
What is x ?
PLS HELP ASAP
Step-by-step explanation:
2(x+3)
2x+6
devide each in 2
2x/2 and 6/2
2 and 2 go out
X=3
Pleaseeee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Help I will be marking brainliest!!!
A. 28.8
B. 36
C. 48
D. 38.4
Answer:
A
Step-by-step explanation:
TR=[tex]\sqrt{60^{2} -48^{2} }[/tex]
TR=36
36/60=AR/36
AR=21.6
TA=[tex]\sqrt{36^{2} -21.6^{2} }[/tex]
TA=28.8
Which one would it be A
B
C
Or
D
y = 3.2 – 24
5x - y = 8
The solution is
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
of subscribers, S, that use their service after y years. If there were 20,000 cable
television subscribers when the cable company began, what is the meaning of the
expression (1 + 0.08)Y?
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
I
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
The picture is sideways. Please help, much appreciated! BRAINLIEST WILL BE GIVEN FOR THE HELP (SHOW WORK).
Answer:
14 mStep-by-step explanation:
Let the shorter side be x
Then the longer side is x + 1
Perimeter is:
P = 2( x + x + 1) = 2(2x + 1) = 4x + 2The value of perimeter is at most 60 meters. P ≤ 60.
Solve the inequality:
4x + 2 ≤ 604x ≤ 58x ≤ 58/4x ≤ 14.5Since x is the integer, its greatest value is 14 m
[tex]{ \large{ \red{➾ \: \: \underline {\bf{ \underline{Let \: \: the \: \: width \: \: of \: \: rectangle \: \: be \: \: y}}}}}}[/tex]
[tex]{ \large{ \blue{➾ \: \: \underline {\bf{ \underline{Then \: \: the \: \: length \: \: of \: \: rectangle \: \: be \: \: (y + 1)}}}}}}[/tex]
[tex]{ \large{ \green{✪ \: \: \boxed{ \boxed{ \rm{Perimeter \: \: of \: \: rectangle = 2 \times (length + breadth)}}}}}}[/tex]
[tex]{ \large{ \pink{⇛ \: \: \sf{Perimeter = 2 \times (y + y + 1)}}}}[/tex]
[tex]{ \large{ \orange{⇛ \: \: \sf{Perimeter = 4y + 2}}}}[/tex]
[tex]{ \large{ \purple{ ✒ \: \: \: \tt{Here \: \: given = \: Perimeter \: \: is \: \: at \: \: most \: \: 60 \: m}}}}[/tex]
[tex]{ \large{ \red{ ⇝ \: \bf{So \: \: perimeter \leqslant 60}}}}[/tex]
[tex]{ \large{ \green{ \underline{ \rm{Now \: \: we \: \: have \: \: to \: \: solve \: \: inequality}} \colon}}}[/tex]
[tex]{ \large{ \blue{➠ \: \: \bf{4y + 2 \leqslant 60}}}}[/tex]
[tex]{ \large{ \orange{➠ \: \: \bf{4y \leqslant 58}}}}[/tex]
[tex]{ \large{ \purple{➠ \: \: \bf{y \leqslant { \cancel\dfrac{58} {4 }^ { \: \: {14.5}} {}} }}}}[/tex]
[tex]{ { \blue{➠ \: \: \bf{y(Width \: \: of \: \: rectangle ) \: \: \leqslant 14.5 \: \: \: { \underline{ \underline{(But \: \: y \: \: is \: \: an \: \: integer)}}}}}}} [/tex]
[tex]{ \large{ \rm{ \green{ ∴ \: \: \: \: { \boxed{ \boxed{\bf{y \: (Width \: \: of \: \: rectangle ) \: \: greatest \: \: value \: = 14 \: \: m \: \: \:{ \underline{ \underline{}}}}}}} }}} \: \: { \large{ \green{ \rm{Ans.}}}}}[/tex]
please help
it easy i know but i don't know
Answer:
Step-by-step explanation:
a- impossible to say(c)
b- true(a)
c- true(a)
Step-by-step explanation:
I get it a little so i think c is true B.is false and A. is impossible to say
find the area of circle
whose radius is rcm.
Answer:
πr^2 Cm^2
Step-by-step explanation:
Using the formula we get our answer.
Please help me what is a NOW a/4 − 5/6 = −1/2
Answer:
Step-by-step explanation:
Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6
[tex]\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\[/tex]
Add 5/6 to both sides and simplify
[tex]\frac{a}{4} =\frac{1}{3}[/tex]
Multiply both sides by 4 to get
a=4/3
PLS HELP ME...WILL GIVE BRAINLIEST..THANKYOU!!!!!
Determine the value of x in the diagram.
96°
X
84°
96°
Answer:
84
Step-by-step explanation:
96+96+84=276
360-276=84
Find 62.7% of 177. Round to the nearest thousandth.
Answer:
110.979
Step-by-step explanation:
62.7% * 177 = 0.627 * 177 = 110.979
The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of the rectangle remains the same, 1,440 square inches. What is the new length of the rectangle?
Answer:
60 in
Step-by-step explanation:
Area = length x width
Area is constant at 1440 in^2
For first rectangle: W1 and L1
For second rectangle: W2 and L2
W1 = 32 in
W2 = W1 - 8 in = 24 in
1440 in^2 = L1 x 32 in = L2 x 24 in
L1 = 45 in
L2 = 60 in
what is the answer for this
Answer:
∠B = 141
Step-by-step explanation:
n - > number of sides
n = 7
Sum of all interior angles = (n -2 ) * 180
= 5 * 180 = 900
∠B + 148 + 90 + 142 + 130 + 129 + 120 = 900
∠B + 759 = 900
∠B = 900 - 759 = 141