Answer:
A) CD
B) AB
C) Plane ABCD is parallel to EFGH.
Plane BDFH is parallel to ACGE.
Plane ABFE is parallel to CDHG.
Step-by-step explanation:
We are given the following in the question:
A cuboid ABCDEFGH is given.
A) line segment that is parallel to AB
A line segment that is parallel to AB is CD.
B) line segment that is skew to AB
Skew lines are the line that never lie in the same plane and never intersect each other.
Thus line segment FH is skew to line segment AB.
C) pair of parallel planes.
Plane ABCD is parallel to EFGH.
Plane BDFH is parallel to ACGE.
Plane ABFE is parallel to CDHG.
Using altitude and hypotenuse to find the area of a right triangle
HELP ME PLS!!!!!!!!!!!!!!!!!!!
the number inside the parenthesis includes the interest rate ( annual percentage
looking at the possible functions, if you raise the interest rate to the power of 12, you would need to divide the number of years (t) by 12 as well
so the function could be rewritten as A=1000(1.023^12)^t/12
since the annual percentage rate is 2.3% ( 0.023)
divide 0.023/12*100 = 0.19% per month interest
A magazine has a special offer of 18 issues for $28.44. How much does each issue cost?
Answer:
A magazine has a special offer of 18 issues for $28.44. Each issue costs $1.58. Solution: 28.44 / 18 = 1.58.
If l || m, what is the value of x?
What system of linear inequalities is shown in the graph?
You need to buy fertilizer for a circular flower bed with a diameter of 13 feet. If one bag will fertilize 10 square feet, how many bags do you need to buy?
The area of the flower bed is approximately 132.73 square feet. Each bag of fertilizer covers 10 square feet, so we'd need 13.27 bags. Rounding up, we'll need to buy 14 bags.
Explanation:The question involves the calculation of the area of a circular flower bed and determining the amount of fertilizer needed for that area. The area of a circle can be calculated using the formula πr², where 'r' (radius) is half of the diameter. In this case, the diameter of the flower bed is 13 feet, so the radius is 13/2 = 6.5 feet. We then square the radius (6.5²) which gives us 42.25 and multiply by π (approximately 3.14), resulting in an area of approximately 132.73 square feet. Given that each bag of fertilizer covers 10 square feet, we would need 13.27 bags of fertilizer. Since we cannot buy a fraction of a bag, we would need to buy 14 bags to fully cover the flower bed.
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Hank's pickup can travel 39 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 26 miles?
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
fewer than 40 students
78 or fewer students
78 or more students
more than 40 students
HELP!!
Answer: More than 40 students
Step-by-step explanation:
Let x be the number of students .
Given : Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student.
i.e. Total cost : [tex]80+5x[/tex] (1)
The Dino Discovery Museum simply charges $7 per student.
i.e. Total cost : [tex]7x[/tex] (2)
The inequality that shows Science Center charge less than the Dino Discovery Museum charges will be :-
[tex]80+5x<7x[/tex]
Subtract 5x on both sides , we get
[tex]80<2x[/tex]
Divide both sides by 2 , we get
[tex]40<x[/tex]
Hence, for more than 40 students the Science Center charge will less than the Dino Discovery Museum charges.
The graph of g(x)=(1/2)x is the graph of f(x)=2x reflected over the y-axis. Which graph represents g(x) please help!
Answer:
Step-by-step explanation:
Name a pair of vertical angles, a straight angle, and two scute angles other than
Answer:
∠GEN and ∠FED, ∠GEF and ∠DEN are few of the vertical angles.
∠ENM and ∠NKP, ∠HKC and ∠ADE are few of the straight angles.
∠GEN and ∠FED, ∠JNM and ∠EHK are few of the acute angles.
Step-by-step explanation:
Vertical angles are the angles made by two intersecting lines and they are equal
So,
∠GEN and ∠FED, ∠GEF and ∠DEN are few of the vertical angles.
Straight angles are angles that are 180°
So,
∠ENM and ∠NKP, ∠HKC and ∠ADE are few of the straight angles.
The angles less than 90° are called acute angles
So,
∠GEN and ∠FED, ∠JNM and ∠EHK are few of the acute angles.
∠GEN and ∠FED, ∠GEF and ∠DEN are few of the vertical angles.
∠ENM and ∠NKP, ∠HKC and ∠ADE are few of the straight angles.
∠GEN and ∠FED, ∠JNM and ∠EHK are few of the acute angles.
How to explain the angleVertical angles are the angles made by two intersecting lines and they are equal, ∠GEN and ∠FED, ∠GEF and ∠DEN are few of the vertical angles.
Straight angles are angles that are 180° ∠ENM and ∠NKP, ∠HKC and ∠ADE are few of the straight angles.
The angles less than 90° are called acute angles∠GEN and ∠FED, ∠JNM and ∠EHK are few of the acute angles.
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Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 months?
Please help
solve 4x-9=k for x
Answer:
The value of x is [tex]\frac{k+9}{4}[/tex]
Step-by-step explanation:
Given : equation 4x - 9 = k
We have to find the value of x.
Consider the given equation 4x - 9 = k
Adding 9 both sides, we have,
4x = k + 9
Divide both side by 4, we have,
[tex]x=\frac{k+9}{4}[/tex]
Thus, The value of x is [tex]\frac{k+9}{4}[/tex]
Televisions are on sale for 85% of the original price of $499. what is the sale price?
Julia knows 19 Latin words. Each day, she learns 6 new words, How many day until she knows 145 words.
ANSWER CHOICES
A:20
B:21
C:22
D:23
145 -19 = 126
she needs to learn 126 more words
divide 126 by 6 to find number of days
126 / 6 = 21
it will take 21 days, Answer is B
An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.
If the exterior angle of the bases is 130°, then the measure of the angle of each base is
--------degrees° and the measure of the vertex is --------
I ALWAYS GIVE BRAINLIEST!! PLZ HELP
Given that an isosceles triangle has an exterior angle of its base angle that is 130°, the two possible sets of angles obtainable in the triangle are:
Base angles: [tex]\mathbf{30^{\circ}}[/tex]Vertex angle: [tex]\mathbf{80^{\circ}}[/tex]Recall:
An isosceles triangle has two equal base angles and two equal sides.Thus:
The isosceles triangle has been given in the image attached below to show the possible angle measures we can get.
In figure 1, we see that when the exterior angle of the bases is 130°, the measure of each of the base angles would be:
[tex]\mathbf{180 - 130 = 50^{\circ}}[/tex]
The vertex angle would be:
[tex]\mathbf{180 - (50 + 50) = 80^{\circ}}[/tex]
Therefore, given that an isosceles triangle has an exterior angle of its base angle that is 130°, the two possible sets of angles obtainable in the triangle are:
Base angles: [tex]\mathbf{30^{\circ}}[/tex]Vertex angle: [tex]\mathbf{80^{\circ}}[/tex]Learn more here:
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To which graph does the point (−1, 4) belong?
y ≤ −x + 4
y ≤ −x − 2
y ≤ 2x − 3
y ≤ 4x + 1
Answer: First one
Step-by-step explanation:
Due to slope form which is y=mx + b.
-1 = x and y = 4.
It does not show the one because it would be equal to X, but it does show the negative
A painter is working on a canvas that has a total area of 338 square inches. The canvas is x inches wide and twice as long as it is wide. Find the value of x.
A) 13
B) 18.4
C) 112.7
D) 69
Answer:
C
Step-by-step explanation:
Area = 338
Width = X
Length = 2x
2x * x = 338
3x = 338
x = 112.7
The value of x from the rectangular shaped canvas box is x = 13 inches
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of rectangle canvas be A = 338 inches²
Let the width of the canvas = x inches
And , length = 2 x ( width )
Now , the length of the canvas = 2x inches
So , Area of Rectangle = Length x Width
On simplifying , we get
Area of Rectangle = 2x ( x )
Area of Rectangle = 2x²
338 = 2x²
Divide by 2 on both sides , we get
x² = 169
Taking square roots on both sides , we get
x = 13 inches
Hence , the value of x of the canvas is 13 inches
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Prove that the sum of three consecutive positive integers is divisible by 3
[tex]n+n+1+n+2=3n+3=3(n+1)[/tex]
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Does 1/1 count as 1 in fractions
What are the real and imaginary parts of the complex number?
-6-i
Answer:
Real part: -6
Imaginary part: -1
Step-by-step explanation:
A complex number is a number that has a real part and an imaginary part. These numbers usually are represented in the form a + bi where a and b are real numbers and b is the imaginary part (i is actually the solution to the equation [tex]x^{2} +1=0[/tex] or x²=-1 which has no roots in the real numbers and therefore we call the solution √-1=i)
Now, proceeding to the complex number you wrote, if we write it as a + bi we would have a = -6 b = -1
Therefore the real part is a = -6 and the imaginary part would be -1.
tony and sal drove in opposite direction from the same starting point. tony averaged 15 mpg faster then sal. after 5 hours they were 425 miles apart. how fast was each of them driving?
If it takes 5 machines 5 minutes to make 5 widgets, how many minutes does it take 500 machines to make 500 widgets?
What is the equation of the line in standard form? (-1,-4) (2,2)
Are the following figures similar?
yes or no?
Corresponding angles are congruent
Yes or no?
Corresponding sides are proportional
Which statements are true about the ordered pair (−3, 1) and the system of equations?
{x−4y=6
3x+y=−8
Select each correct answer.
The ordered pair (−3, 1) is a solution to the first equation because it makes the first equation true.
The ordered pair (−3, 1) is a solution to the second equation because it makes the second equation true.
The ordered pair (−3, 1) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (−3, 1) is a solution to the system because it makes both equations true.
What is the solution to the equation 1.2m − 0.8 = −2.0m?
A.) m= 0.25
B.) m= 0.4
C.) m= 1
D.) m= 4
Francesca typed 496 words in 8 minutes. Which of the following is a correct understanding of this rate?
a. at this rate, it takes 62 minutes for Francesca to type one word
b.at his rate, Fransesca can type 62 words in 8 minutes.
c. at this rate, Fransesca can type 62 words in one minute.
d. at this rate, Fransesca can type 8 words in one minute.
A triangle has angles that measure 120°, 39°, and 21°. what kind of triangle is it?
A triangle with angles that measure 120°, 39°, and 21° is an obtuse triangle.
The student has asked about the classification of a triangle with angles that measure 120°, 39°, and 21°. Based on Euclidean geometry, the sum of the angles in any plane triangle is 180°. A triangle with one angle that measures more than 90° is an obtuse triangle, as it has one obtuse angle. Therefore, this triangle, with a 120° angle, is classified as an obtuse triangle.
50 POINTS
Mei draws three pairs of parallel lines that are each intersected by a third line. In each figure, she measures a pair of angles.
What is a reasonable conjecture for Mei to make by recognizing a pattern and using inductive reasoning?
A reasonable conjecture for Mei is the Alternate Interior Angles Theorem, which states if a transversal intersects parallel lines, the alternate interior angles are equal.
Explanation:Based on the scenario, a reasonable conjecture for Mei to make would be, if a transversal intersects parallel lines, then the alternate interior angles are congruent. This statement is known as the Alternate Interior Angles Theorem. In other words, in each of Mei's figures, if the angles she measured are alternate interior angles, they should have the same measurement.
For example, if three pairs of parallel lines are intersected by a third line (called a transversal), a pattern that consistently appears is the equality of the alternate interior angles (angles that are on opposite sides of the transversal and inside the parallel lines). This implies, if the two lines are parallel, then any alternate pair of interior angles are equal.
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which of the following are necessary when proving the opposite angles of a parallelogram are congruent? Check all that apply.
A) Opposite sides are perpendicular
B) Corresponding parts of similar triangles are similar
C) Opposite sides are congruent
D) Corresponding parts of congruent triangles are congruent
The opposite angles of a parallelogram are congruent this can be proved by the fact that;
Opposite sides are congruent Corresponding parts of congruent triangles are congruentTo prove opposite angles in a parallelogram are congruent, it's necessary to recognize that opposite sides are congruent and use the property that corresponding parts of congruent triangles are congruent.
Explanation:To prove that the opposite angles of a parallelogram are congruent, it's not necessary that opposite sides be perpendicular. Instead, let's consider the properties that are relevant to this proof:
Opposite sides are congruent (C)Corresponding parts of congruent triangles are congruent (D)In this case:
Option A is not relevant because a parallelogram does not require opposite sides to be perpendicular; that is a characteristic of a rectangle.Option B refers to similar triangles, which is not necessary for proving the opposite angles are congruent in parallelograms. Similar triangles have proportional sides and identical angles, which is not the focus here.Option C is a defining property of parallelograms and is necessary to help prove that opposite angles are congruent.Option D can be used in the proof if one demonstrates that two triangles within the parallelogram are congruent, therefore their corresponding angles must be congruent; this includes the opposite angles of the parallelogram.The proper proof would rely on establishing congruent triangles within the parallelogram and then using the property that corresponding parts of congruent triangles are congruent to show that the opposite angles are congruent.
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