Answers
Answer:
Angle 2 = 180 - 76 = 104 (linear pair)
angle 3 = 76 (vertically opposite angles)
angle 4 = 104(vertically opposite angles)
Answer:
m∠2 = 104°m∠3 = 76°m∠4 = 104°Step-by-step explanation:
Concept:
Here, we need to know the idea of supplementary angles and linear pairs.
Supplementary angles are two angles or arcs whose sum is 180 degrees.
A linear pair of angles are formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees.
Linear pair and supplementary angles are conveying the same meaning. However, linear pair is describing the "appearance" of the two angles as they form a line which is 180 degrees. On the other hand, supplementary angles are the properties stating two angles adds up to 180 degrees, but are not required to be together.
If you are still confused, you can refer to the attachment below for a graphical explanation.
Solve:
∠1 and ∠2 are linear pairs and supplementary to each other forming 180°
m∠2 = 180 - 76 = 104°∠2 and ∠3 are linear pairs and supplementary to each other forming 180°
m∠3 = 180 - 104 = 76°∠3 and ∠4 are linear pairs and supplementary to each other forming 180°
m∠4 = 180 - 76° = 104°Hope this helps!! :)
Please let me know if you have any questions
Related Questions
Find the value of 5x + 6 when x = -2
Answers
Answer:
- 4
Step-by-step explanation:
Substitute x = - 2 into the expression
5x + 6 = 5(- 2) + 6 = - 10 + 6 = - 4
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answers
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
Find the slope. Name the unit rate
Answers
Answer:
The slope is 4/5 i dont know unit rate though, hope this helps:)
find the maclaurin series of the given function f(x)=ln(1-x)
Answers
Answer:
[tex]-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
Step-by-step explanation:
1) the rule is:
[tex]ln(1+a)=a-\frac{a^2}{2}+\frac{a^3}{3}-\frac{a^4}{4}+...+(-1)^{n-1}\frac{a^n}{n}+...[/tex]
2) according to the rule above:
[tex]ln(1+(-a))=(-a)-\frac{(-a)^2}{2}+\frac{(-a)^3}{3}-\frac{(-a)^4}{4}+...+(-1)^{n-1}\frac{(-a)^n}{n}+...[/tex]
finally,
[tex]ln(1-a)=-a-\frac{a^2}{2}-\frac{a^3}{3}-\frac{a^4}{4}-...-\frac{a^n}{n}-...[/tex]
There are 40 students in your class of which 23 are boys. What fraction of the students are girls?
Answers
Answer:17/23
Step-by-step explanation:
Answer: 17/40 of the students are girls.
Step-by-step explanation:
First, to find the number of girls in the class, we can subtract the number of boys (23) from the total number of students (40) to get:
40 - 23 = 17
There are 17 girls in the class.
Finally, to get the fraction of the girl students of the class, we can divide the number of girls (17) by the total number of students (40) to get:
17 ÷ 40 = [tex]\frac{17}{40}[/tex]
Since the fraction [tex]\frac{17}{40}[/tex] is already simplified, the final answer comes out to be [tex]\frac{17}{40}[/tex].
Solve the inequality p+4<-24
90 POINTS
Answers
Step-by-step explanation:
p+4<-24
collect like terms
p<-28
[tex]\\ \rm\Rrightarrow p+4<-24[/tex]
[tex]\\ \rm\Rrightarrow p<-24-4[/tex]
[tex]\\ \rm\Rrightarrow p<-28[/tex]
So
[tex]\\ \rm\Rrightarrow p\in (-\infty,-28)[/tex]
59) Two times a number added to another number is 25. Three times the first number minus the other number is 20.
Find the two numbers.
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let the first number be x and second one be y !
Here's the Expressions representing the above scenario ~
[tex] \sf2x + y = 25[/tex][tex] \sf3x - y = 20[/tex]If we add these two equations we will get ~
[tex] \sf2x + y + 3x - y = 25 + 20[/tex][tex] \sf5x = 45[/tex][tex] \sf x= 45 \div 5[/tex][tex] \sf x = 9[/tex]Now, plug the value of x in first equation ~
[tex] \sf2x + y = 25[/tex][tex] \sf(2 \times 9) + y = 25[/tex][tex] \sf18 + y = 25[/tex][tex] \sf y = 25 - 18[/tex][tex] \sf y = 7[/tex]Therefore, the first number is x = 9 and the second number is y = 7
The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64, what is it worth now? Round to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
The share of stock is $88.33 worth now which is the value of a share of stock on the stock market decreased by 14%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64 which is given in the question.
We have to determine the evaluation of 15% of 60.
⇒ 14% of $102.64
15% is expressed as 15/100 in fractional form
⇒ (14/100)(102.64)
15/100 is expressed as 0.15 in decimal form
⇒ (0.14)(102.64)
Apply the multiplication operation, and we get
⇒ 14.31
Therefore, 14% of $102.64 would be $14.31.
The share of stock is worth now: $102.64 - $14.31 = $88.33.
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Solve the PROPORTIONS!
Answers
Answer:
q = 39Step-by-step explanation:
91 : 14 = q : 6
q = 91 * 6 : 14
q = 39
----------------------
check
91 : 14 = 39 : 6
6.5 = 6.5
the answer is good
NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answers
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
Which choices are equivalent to the expression below? Check all that apply.
5/3
I A. 75
]
B. v3.15
I C. 75
O D. 125. 3
IE. 45
0 F 15.15
Answers
Answer:
ADF
Step-by-step explanation:
A.root 75=root25 xroot3=5root3
B.=root15
C=75
D=5root3
E:=root9xroot5=3root5
F=root5xroot5xroot3=5root3
The solution is Option A , Option D , Option F
The values of the equations are √75 , √25 x √3 and √15 x √5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 5√3 be equation (1)
On simplifying the equation , we get
The value of A = √ ( 5 )² ( 3 )
The value of A = √25 x √3
The value of A = √75
The value of A = √15 x √5
Hence , the values of the equations are √75 , √25 x √3 and √15 x √5
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A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.
Answers
Answer:
Approximately [tex]\text{$0.26$ radian}[/tex] every minute.
Step-by-step explanation:
Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)
[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].
Calculate the circumference of this circle:
[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].
Find the time required (in minutes) for this vehicle to go around this circle:
[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].
A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:
[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:
[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.
Answers
Answer:
90
Step-by-step explanation:
390 ( 40; 6 )
solution to the system
y=-x2-3x+2
y=x+6
Answers
Answer:
[tex]x=-2,y=4[/tex]
Step-by-step explanation:
[tex]y=-x^2-3x+2[/tex]
[tex]y=x+6[/tex]
[tex]x+6=-x^2-3x+2[/tex]
[tex]x^2+x+6=-3x+2[/tex]
[tex]x^2+4x+6=2[/tex]
[tex]x^2+4x+4=0[/tex]
[tex](x+2)(x+2)=0[/tex]
[tex]x=-2[/tex]
[tex]y=(-2)+6=4[/tex]
The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?
Answers
Answer:
7 inches
Step-by-step explanation:
756÷108=7
that's about it, but I just divided the area and length.
Find the equation of the line passing through the point (−5,−9) and parallel to the line y=3x+2 .
Answers
Answer:
Root:(-⅗,0)
vertical intercept:(0,5)
Step-by-step explanation:
A bike path is 12.5 miles. Dominic is 70% of the way to the end. How far is Dominic on the path?
Pls help me
Answers
Answer:
p/12.5 = 70/100
Step-by-step explanation:
a percent is considered out of 100
since you know the total 12.5, that will fit as the whole
help please use picture
Answers
Answer:
y= -1x+4
Step-by-step explanation:
-1/1 is simplified to -1
Can anybody help me with this pls?
a plane intersects the coordinate axes at the point (2,0,0), (0,3,0) and (0.0.4) the obteined point is ax+by+cz+d, find value of d
Answers
Answer:
d = 12
Step-by-step explanation:
In intercept form, the equation of the plane is ...
x/a +y/b +z/c = 1 . . . . . for x, y, z intercepts a, b, c
You have (a, b, c) = (2, 3, 4), so the equation of the plane is ...
x/2 +y/3 +z/4 = 1
Multiplying by 12 gets rid of the fractions and puts the equation in standard form:
6a +4y +3z = 12
The value of d is 12.
What percent of 80 is 16
Answers
Answer:
20 percent
Step-by-step explanation:
Step 1: 16/80
Step 2: 16/80 x 100/100 = 20/20
Step 3: 20
What is 20% of 130.8?
Answers
Answer:
26.16
Step-by-step explanation:
Answer:
26.16
Step-by-step explanation:
20 percent of 130.8
= (20/100)*130.8
= (20*130.8)/100
= 2616/100 = 26.16
Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?
Answers
Answer:
the discussion leader will moderate the discussion.
15.
How many values are in the data set whose histogram is shown below?
Answers
The total values in the dataset is 24 values
From the given histogram, to get the number of values in the dataset, we will have to trace each bar to the y-axis and then take the sum.
For the black bar, the total values of the dataset will be 11 + 2 = 13For the white bar, the value of the data st will be 3For the grey bar, the total values of the dataset will be 1 + 2 = 3For the ask bar, the total values of the dataset will be 2 + 3 = 5The total values of the dataset = 13 + 3 + 3 + 5
The total values of the dataset = 24 values
Hence the total values in the dataset is 24 values
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Answer:
answer is 22, is you add all the values
Step-by-step explanation:
is 5.243 greater, equal to ,or less than 5.4?
Answers
Answer:
5.243 is less than 5.4....
help pls mwah <3 i also give brainliest
Answers
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
Area of rectangle 2x8/9
Answers
Answer:
32/9
Step-by-step explanation:
2*(2)(8/9) = 4*8/9 = 32/9
write the equation of the line that passes through the points ( 1, -1) and (0, 5)
Answers
Answer:
y=-6x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(0-1)
m=(5+1)/-1
m=6/-1
m=-6
y-y1=m(x-x1)
y-(-1)=-6(x-1)
y+1=-6(x-1)
y=-6x+6-1
y=-6x+5
Round 512.45 to the nearest ones place.
Answers
hope this helps!
The answer would be 512.
Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?
Answers
Answer:
$0.25 per ream
Step-by-step explanation:
The costs per ream are ...
X: $40/(8 reams) = $5/ream
Y: $19/(4 reams) = $4.75/ream
The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.
.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23
Answers
Answer:
-0.2
Step-by-step explanation:
pls give me brainliest if possible
