We can construct a 30-degree angle by bisecting a 60-degree constructed angle.
By following the given steps we can create a 30-degree angle,
Use a straightedge to create a segment of a line. Label the ends of it. We will refer to them as points A and B in our design.The drawing compass needle should be positioned on point A and adjusted to meet point B. Draw an arc high above the line segment, starting at point B. Move the needle to point B without changing the compass.Make an arc that crosses the first arc swing upward.Create a line segment from point A all the way up to the junction of the two arcs using the straightedge.Mark the new terminus of that line segment as Point D. The angle ∠ABD constructed is a 60-degree angle.Move the needle arm toward one of the rays' points without altering the compass. On the inside of the angle, swing an arc.The needle arm should be moved to the opposite ray's point without adjusting the compass. Draw an arc inside the angle.Use a straight line to connect the intersection of the two arcs with Point B of the 60° angle. That line segment is an angle bisector of the angle ABD, yielding two 30° angles.Read more questions about Triangles and angles from:
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guys please help me with this question, I’d appreciate it a lot
Answer:
n = 84.1
Step-by-step explanation:
Find the factor pairs for 12.
1 and 12
2 and 6
3 and 4
The factors of 12 are 1, 2, 3, 4, 6, and 12.
Answer:
the factor pairs of 12 are 1 and 12 , 2 and 6 , 3 and 4
Step-by-step explanation:
The computation of the factor pairs is shown below:
The factor pairs means the two numbers which are multiplied to get the number 12
So it is
1 and 12
2 and 6
3 and 4
Hence, the factor pairs of 12 are 1 and 12 , 2 and 6 , 3 and 4
The same would be relevant
Suppose the total area is represented by the equation x^2+14x+24. If the area 1 is x^2 square units and area IV is 24 units, what must be true about area II and area III.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Total = x^2 + 14x + 24[/tex]
[tex]Area\ I = x^2[/tex]
[tex]Area\ IV = 24[/tex]
Required
True about area II and III
The question is incomplete; so, I will answer using general knowledge.
If the total area is:
[tex]Total = x^2 + 14x + 24[/tex]
And there are 4 areas, then;
[tex]Total = Area\ I + Area\ II + Area\ III + Area\ IV[/tex]
Rewrite as:
[tex]Total = Area\ I + Area\ IV+ Area\ II + Area\ III[/tex]
This gives:
[tex]x^2 + 14x + 24 = x^2 + 24+ Area\ II + Area\ III[/tex]
Collect like terms
[tex]x^2 -x^2 + 14x + 24 -24= Area\ II + Area\ III[/tex]
[tex]14x = Area\ II + Area\ III[/tex]
Rewrite as:
[tex]Area\ II + Area\ III = 14x[/tex]
So, the sum of areas III and IV must be 14x
what’s the perimeter?
The perimeter of a triangle Park shown on the rate is 13 X -7 what is the missing length
Answer:
The length of the missing side is 7x-5
Step-by-step explanation:
Here, we want to get the value of the missing length
Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides
So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle
mathematically, we have this as;
13x-7 -(4x + 2 + 2x-4)
13x-7 - (4x + 2x + 2-4)
= 13x-7 - (6x -2)
= 13x -7 -6x + 2
= 13x-6x -7 + 2
= 7x -5
Plz help ASAP I will add branliest to the first answer, I need to solve for the letter
Answer:
6. r=2
8.x=3
Step-by-step explanation:
6. 4r-3=5
4r-3=5 add 3 to both sides
4r=8 divide 4 by both sides
r=2
8. 5x-6=9
5x-6=9 add 6 to both sides
5x=15 divide 5 by both sides
x=3
Solve for x. Show all your steps/work.
216x = 6x + 1
Which set of data has the highest interquartile range? Group of answer choices 8,12,14,14,20 8,12,14,14,22 9,13,14,15,19 all of the above
Given:
The given data set are:
8,12,14,14,20
8,12,14,14,22
9,13,14,15,19
All of the above
To find:
The set of data that has the highest interquartile range(IQR).
Solution:
We know that, the interquartile range(IQR) of a data set is the difference between the third quartile and first quartile.
[tex]IQR=Q_3-Q_1[/tex]
All the given data set has five values in ascending order. So, the first value is the minimum value, second value is the first quartile, third value is the median, the fourth value is the third quartile and the fifth value is the maximum value.
For 8,12,14,14,20,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 8,12,14,14,22,
[tex]IQR=14-12[/tex]
[tex]IQR=2[/tex]
For 9,13,14,15,19,
[tex]IQR=15-13[/tex]
[tex]IQR=2[/tex]
All interquartile ranges are equal. So, all the data sets has t he highest interquartile range.
Therefore, the correct option is D.
Write an expression, in its simplest form, for the volume of this cuboid
Answer:
[tex]V=10x^2+35x+15[/tex]
Step-by-step explanation:
Given that,
Length = (2x+1)
Width = (x+3)
Height = 5
We need to find an expression for the volume of this cuboid . The formula for the volume of cuboid is given by :
[tex]V=lbh[/tex]
So,
[tex]V=(2x+1)\times (x+3)\times 5\\\\=(2x+1)\times (5x+15)\\\\=10x^2+30x+5x+15\\\\=10x^2+35x+15[/tex]
So, the volume of this cuboid is equal to [tex]10x^2+35x+15[/tex].
What is the value of x and perimeter?
Find what x =
4
9
16
If out of a sample of 180 drivers prefer a standard transmission over automatic , about a standard transmission in a population of 900
A:700
B:22
C:360
D:200
Answer:
This is a matter of ratio and proportion, let us represent the unknown value as x. Since the two ratios are related,
40 : 180 :::: x : 900
40 / 180 = x / 900
x = (40/180)(900)
x = 200q
Which equation can be used to solve for xxx in the following diagram?
Answer:
A
Step-by-step explanation:
math
We can solve for x in the diagram based on the vertical angles theorem using the equation: A. 60 = (4x - 20)
What is Vertical Angles Theorem?Angles that lie vertically opposite each other when two straight lines intersect are congruent too each other, based on the vertical angle theorem.
Applying the vertical angles theorem, we can solve for x in the given diagram using the equation below:
60 = (4x - 20)
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a triangle is doing on a grid if each box represents one square unit what is the area of the triangle
Answer:
4 square units
Step-by-step explanation:
Are there any supplementary angles ? If so name two pairs if not explain why not
Please help me with this Algebra 1 question!
Answer:
Step-by-step explanation:
2.9
1.9
-1.6
8 + 7 + (-4) on a number line
Answer:
11 is the answer
Step-by-step explanation:
8+7-4
15-4
11
on number positive 11 is the answer
its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1
3. Aneesa thinks that (8x)^1/2 is equivalent to 8x^1/2
Do you agree or disagree? Justify your answer.
Answer:
x= 0 I believe the answer would be false.
1. Why did the Mexican War lead to conflict between North and South?
Answer:
Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico
Please mark as brainly for detailed explanations of various answers in the future:)
Someone please help me with this question I would really appreciate it!
Answer:
she is correct
Step-by-step explanation:
along with color she also has the type
like type:leather= color brown ,black ,blue
cloth= tan and gray
multiplication
type =2
leathers color =3
cloth color = 2
= 12
If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function
Answer:
Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.
Step-by-step explanation:
Please help!!! I’ll mark you as brainliest!!!!!
Step-by-step explanation:
Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.
Answer:
C
Step-by-step explanation:
volumes are width x height x length
4 x 2 x 2 = 16
8 x 2 x 1 = 16
Школьник поднял гирю весом 16 кг на высоту 2,1 м за 2 с. Определите:
а) Механическую работу, выполненную школьником;
б) Механическую мощность, развитую им;
в) На сколько увеличилась при этом потенциальная энергия си-
стемы „гиря-земля". Считать g = 10 Н/кг.
ОЧЕНБ ОЧЕНЬ СРОЧЬНО НАДО. ПОМОГИТЕ ПОЖАЛУЙСТА ЩЯС.
Answer:
what type of language is this isn't this India?
Help me with this ASAP
Answer:
2 to the power of 2 times three to the power of 2
3 to the power of 2 times 5 to the power of 2
6 to the power of 2 times 7 to the power of 3
7 to the power of 2 times 5 to the power of 3
3 to the power of 2 times 5 to the power 2 times 7 to the power of 2
Step-by-step explanation:
Can somebody plz help answer these last questions correctly (only if u know how to do this) if u can answer the because ones too I would appreciate it
Thanks :2
WILL MARK BRIANLIEST WHOEVER ANSWERS FIRST :DDD
Answer:
∠e = 105° because ∠e and the 105° angle are vertically opposite angles
∠h = 75° because ∠h and the 105° angle are supplementary angles
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles
∠b = 75° because ∠b and ∠f are corresponding angles
∠a = 105° because ∠a and ∠e are corresponding angles
∠d = 75° because ∠d and ∠h are corresponding angles
Step-by-step explanation:
The given diagram includes two parallel lines having a common transversal that crosses both (parallel) lines
By sing angle properties, we have;
∠e = 105° because ∠e and the 105° angle are vertically opposite angles formed by the same two straight lines and are therefore always equal
∠h = 180° - 105° = 75° because ∠h and the 105° angle are angles that form a straight line and are therefore supplementary angles which are angles that sum up to 180°. Therefore, ∠h + 105° = 180°, therefore ∠h = 75°
∠f = ∠h = 75° because ∠f and ∠h are vertically opposite angles
∠c = 105° because ∠c and the 105° are corresponding angles and corresponding angles are equal
Similarly, we have;
∠b = ∠f = 75° because ∠b and ∠f are corresponding angles
∠a = ∠e = 105° because ∠a and ∠e are corresponding angles
∠d = ∠h = 75° because ∠d and ∠h are corresponding angles
A smoothie recipe calls for 1.2 cups of strawberries for one batch. Michael uses 4.8 cups of strawberries today. How many batches did Michael make today?
Answer:
4 batches
Step-by-step explanation:
4.8/1.2 = 4
Much of the declaration of independence consist of a list what does it list?
Answer: complaints of the wrongs done to the colonists.
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]