Step-by-step explanation:
when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.
and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.
and all angles around a single point on one side of a line are together 180°.
because of all that,
angle 2 = angle 3 = angle 6 = angle 7 = 76°
angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°
Each small square on this scale weighs 1 unit. Each larger square weighs 10 units. The weight of the triangle x is unknown. The scale is balanced. Look at the image. A balanced scale. On one side there are four small squares and three large squares each labeled ten. On the other side there are two small squares, two large squares each labeled ten, and a triangle labeled x. Question 1 Part A Write an equation to represent relationship of the weights shown on the scale. Enter the correct answer in the box.
The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]
The weights are given as:
[tex]Small\ Square = 1[/tex]
[tex]Larger\ Square = 10[/tex]
The total weight on one side, where there are 4 small squares and 3 large squares is:
[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]
[tex]Total =4\times 1 + 3 \times 10[/tex]
[tex]Total =34[/tex]
The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:
[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]
[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]
[tex]Total =2+ 20+ 1\times triangle[/tex]
[tex]Total =22+ 1\times triangle[/tex]
[tex]Total =22+ triangle[/tex]
The weight of the triangle is x.
So, we have:
[tex]Total =22+ x[/tex]
The weights on both sides are equal, because the scale is balanced.
So, we have:
[tex]22 + x = 34[/tex]
Hence, the equation is [tex]22 + x = 34[/tex]
Read more about equations at:
https://brainly.com/question/2972832
I need help?????????
Answer:
3
Step-by-step explanation:
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =
Answer:answer d
Step-by-step explanation:
i just did the test
Help help help on marhswatch please help!!
7x-35<2x-10 distribut it
7x-2x<-10+35 collect like them
5x<25 divide both side by 5
x<5
Which list below shows a way in which a 13-foot piece of pipe can be cut, to create 3 pieces that will form a triangle?
1 ft, 3 ft, 9 ft
3 ft, 3 ft, 7 ft
2 ft, 3 ft, 8 ft
2 ft, 5 ft, 6 ft
Answer:
2 5 and 6
Step-by-step explanation:
Any 2 sides have to add to more than the 3rd side.
6. You are planning a camping trip. The campsite you want to rent charges a $15 fee
to reserve the site, plus an extra $3 per day.
Part I: Define your variables and write a linear equation in slope-intercept form to
represent the cost of the campsite. (4 points)
Part II: Find the y-intercept and interpret it. (2 points)
Part III: Graph the equation for the cost of renting the campsite. Label three
points on your graph and indicate the slope. (4 points) Place the given line on the
graph to represent your equation.
Answer:
y=3d+15
y intercept is 15
slope is 3
Step-by-step explanation:
to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.
Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]
what is the right answer
giving out brainliest
Which equation represents the line that is perpendicular to and passes through (-12,6)?.
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
m is the slope of the lne(x1, y1) is any point on the line.Given the equation y = 3/2x + 1, the slope of the line is 3/5The slope of the line perpendicular is -5/3Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
Learn more on equation of a line here:https://brainly.com/question/19417700
What is 4x+3x? Write solution.
Answer:
7x
Step-by-step explanation:
4x ( linear function) + 3x ( linear function) = 7x
[tex]\huge\boxed{Hello!:)}[/tex]
Combine like terms:
4x+3x=7x
Remember, we can add terms with the same variable together, but we can't add terms with different variables.
[tex]\huge\boxed{Hence,\:the\:answer\:is\:7x.}[/tex]
[tex]\huge\underline{Hope\:it\:helps!}[/tex]
[tex]\boxed{DreamyGal\:here\:to\:help!:)}[/tex]
what is the ratio of 9 boys and 6 girls in a class of 15 students
Answer:
3:2 i believe
Step-by-step explanation:
9:6
divide by 3
3:2
3c+2=20
c
ok anwer this
Answer:
3c =20-2
3c = 18
c = 18÷3
=6
Answer:
Here is Your answer
Step-by-step explanation:
Hope u Like it
C = 2/17
Plz Mark me As Brainiest
please help me with this also jjodlask
Answer:
1. 15, 2. -23, 3. 220, 4. 4x-5
Step-by-step explanation:
f(x) = 4x + 3 g(x) = x - 2
1. f(g(5)): Put 5 in as x in g(x) 5 - 2 = 3. Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15
2. g(f(-6)) 4(-6) + 3 = -21. -21 - 2 = -23
3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220
4. g(f(x)) 4(x-2) + 3 = 4x - 8 + 3 = 4x - 5
When a function is substituted into another function it is known as a composite function.
Given the following functions:
f(x) = 4x + 3
g(x) = x - 2
Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]
[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]
1) Determine the value of [tex]f(g(5))[/tex]
[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]
2) For the function [tex]g(f(-6))[/tex]
[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]
3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]
[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]
4) For the function [tex]g(f(x));[/tex]
[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]
learn more on composite functions here: https://brainly.com/question/10687170
Boris made $306 for 18 hours of work. At the same rate, how many hours would he have to work to make $119?
Answer:
[tex]18 = 306 \\ x = 119 \\ \\ 306x = 2142 \\ x = \frac{2142 }{306 } \\ x = 7[/tex]
a desk costs $145. what is the total cost of 23 desks?
Answer:
145*23=3335$
by multiplying cost by sum of desk
I need this points for algebra help please
Answer:
ur mom
Step-by-step explanation:
lol
What value of X is always
an outlier?
A) X> Q1 + 1.5 IQR
B) X>03 - 1.5 IQR
C)X
D) X > 1.5 IQR - Q1
E) X > Q3 +1.5 IQR
Answer:
Answer B
Step-by-step explanation:
Because (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.
Does anyone get this??
Answer:
the answer is 12m
Step-by-step explanation:
u know the side c and side B.
C=15m but u have to square it which is 225
B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12
If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.
Answer:
< 18, - 29 >
Step-by-step explanation:
a = 5b - 6c
= 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]
= < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]
= < 30 - 12, 25 - 54 >
= < 18, - 29 >
Answer:
a=(18,-29)
Step-by-step explanation:
You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).
Find the midpoint of the segment with the following endpoints. (2, -9) and (-4,-4)
Answer:
(-1,-6.5)
Step-by-step explanation:
midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)
(2-4)/2=-1, -9-4=-13/2=-6.5
=(-1,-6.5)
GIVING BRAINLIEST. please help!
really confused helppppppppp
Answer:
slope=100
$100 per deposit
Step-by-step explanation:
Which expression represents 11 less than a number, n?
Answer:
n-11
Step-by-step explanation:
The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.
The length of the patio is meters.
Answer:
6 1/2
Step-by-step explanation:
21 1/8 divided by 3 1/4
Put into improper fractions
169 / 8 divided by 13 / 4
Multiply by the reciprocal
169 / 8 x 4 / 13
= 6 1/2
What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.
The simplified form of the given expression is [tex]5\sqrt{2}[/tex].
Given expression,
[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].
We have to simplify the above expression.
So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]
First solve for the square root,
[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]
[tex]7\sqrt{2} -2\sqrt{2}[/tex]
[tex]5\sqrt{2}[/tex]
Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].
For more details follow the link:
https://brainly.com/question/2719671
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
the perimeter of the sector.
Answer:
Approximately [tex]68.5\; \rm mm[/tex].
Step-by-step explanation:
Convert the angle of this sector to radians:
[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].
The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.
In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:
[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].
The perimeter of this sector would be:
[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].
What is 22.6% of 65
Answer:
14.69
Step-by-step explanation:
22.6% = 0.226
65 × 0.226 = 14.69
Can someone plz help me?
Answer:
d
Step-by-step explanation:
I got it right on my quiz
How to graph a linear function from slope-intercept form
Answer:
Use the coefficient of x as the slope and constant as the y-intercept
Step-by-step explanation:
Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.
Find the area of the figure and type your result in the empty box
Answer:
where is the question ⁉️