QUICK I NEED HELP! I WILL MARK BRAINLIEST!
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Answer:
Step-by-step explanation:
Standard equation of a line with slope, m and y - intercept b is y = mx + b.
Clearly. for the second equation has a different coefficient for x.
a ) The coefficient for x , is the slope of the line.
Though the y - intercept for each equation is same = - 4.
For example :
Expression A = 2 , when x = 1
Expression B = 8 , when x = 1
Expression C = 2 , when x = 1
b) From above :
c) Expression A and C are equivalent because the coefficient of x
is the same for A and C.
Answer:
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The area of the garden is 160 meter squared.Suppose the length of the garden is 3m more than twice its width.What is the length of the garden?
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Is the histogram uniform, symmetric, or skewed?
Answers
Answer: The option is D.
Step-by-step explanation:
A line that intersects another line segment and separates it into two equal parts is called a bisector.
In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.
Problem
ABCD is a parallelogram, and AC and BD are its two diagonals. Show that AO = OC and that BO = OD
Strategy
Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and ΔCOB.
There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.
As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.
Once we show that ΔAOD and ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.
ABCD is a parallelogram
Given
AD || BC
From the definition of a parallelogram
AD = BC Opposite sides of a parallelogram are equal in size
∠OBC ≅ ∠ODA Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD Alternate Interior Angles Theorem,
ΔOBC ≅ ΔODA
Angle-Side-Angle
BO=OD Corresponding sides in congruent triangles AO=OC Corresponding sides in congruent triangles.
Final answer:
The correct statement about parallelograms is that their diagonals always bisect each other. Opposite angles in a parallelogram are congruent and, while a parallelogram has two pairs of parallel sides, these sides are not necessarily congruent.
Explanation:
In answering your question, which of the following is true about a parallelogram? It's important to understand some key properties of parallelograms. The statement 'D. The diagonals of a parallelogram always bisect each other' is the correct one. In simple terms, this means that the diagonals of a parallelogram always cut each other exactly in half. By contrast, 'A. Opposite angles of a parallelogram are not congruent' is incorrect, because in a parallelogram, opposite angles are indeed congruent. 'B. Parallelograms always have four congruent sides' and 'C. Only two sides of a parallelogram are parallel' are also incorrect, because while a parallelogram does have two pairs of parallel sides, these sides are not necessarily congruent.
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6 × 5 = 30
30/5 = 6 :)
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Answer:
3.645
Step-by-step explanation:
4.760-0.015=3.645
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When the radius is halved, your area will be divided by 4. If you think about it, radius is already half of the diameter so your area is already divided by 2, so if you cut the radius is half again, your area will be divided by 4.
Final answer:
When the radius of a circle is cut in half, the area of the circle is reduced to one-fourth (0.25) of the original. Thus, the scale factor needed to adjust the original area to the smaller one is 0.25 or 1/4.
Explanation:
The question pertains to the relationship between the radius and area of a circle. The area of a circle is given by the formula A = πr², where r is the radius. If the radius of the circle is cut in half, the new radius becomes r/2. Substituting this into the formula for the area, we get A = π(r/2)² = πr²/4.
In other words, the area of the smaller circle is one-fourth (/4), or 0.25, that of the original circle. Therefore, the scale factor needed to adjust the area of the original circle to the smaller circle is 0.25 or 1/4.
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m = 0.7
m = 1.5
m = 3
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m = 1.5 is the solution to the equation.
What is the equation ?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
1.6m-4.8=-1.6m
Subtract 1.6m to both sides to get
-4.8=-3.2m
Divide both sides by -3.2to get
x = 1.5
m = 1.5 is the solution to the equation.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.
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