Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.
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Answer:
A line of symmetry will connect a vertex and a mid point of an opposite side, it has 7 fold symmetry.
Step-by-step explanation:
When the figure can be folded over onto itself along a line. This line is called the "line of symmetry" and this exists for the rotational symmetry.
If we connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, we will obtain two equal halves.
Also, a heptagon has seven vertices, therefore it has 7 fold symmetry.
The true statements about the reflectional symmetry of a regular heptagon are:
- A line of symmetry will connect a vertex and a mid-point of an opposite side,
- it has 7 fold symmetry.
The line of symmetry of a shape divides the shape into equal segments
A regular heptagon has 7 sides.So, it has 7-fold symmetry
Also, the line of symmetry passes through the midpoint and meets the opposite vertex.
Hence, the true statements are: (b) and (c)
Read more about line of symmetry at:
Related Questions
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?x2(4x + 1) – 2(4x + 1) x2(4x – 1) + 2(4x – 1) 4x2(x + 2) – 1(x + 2) 4x2(x – 2) – 1(x – 2)
Please Help! Brainliest going!
Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?
Wesley bowman sells children's toy storage bins at craft shows. His commission is based on the number of bins sold in a month. He earns $45 each for the first 20 bins, $60 for the next 20 bins, and $75 for each bin over 40 bins. Wesley sold 28 sets in October and 56 in November. What was his total commission for the two months ?
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This problem has several steps.
First, calculate the interest value for the first year by multiplication of the interest rate and the total amount of the initial loan. So: (1,485)X(0.0775) = $115.0875. This is the total amount of interest for the first year. We add this to the initial loan value to find the total amount for the first year: 115.0875+1,485=$1,600.0875. The next year, she will be charged on this amount, instead of $1,485. So, you repeat the first step with this new value. (1,600.0875)x(0.0775)=$124.0067813. This is the total amount of interest charged the second year. You add this to her total from last year: 124.0067813+1,600.0875 =$ 1,724.094281. This is the total she would have to pay back on her initial loan after to years. (Rounded to whatever decimal place specified. Probably $1,724.09)
Answer:
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Step-by-step explanation:
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The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
We have to given that,
An expression to simplify,
⇒ (√7)ˣ = 49ˣ⁻⁶
Now, We can simplify the expression for x as,
⇒ (√7)ˣ = 49ˣ⁻⁶
Since, 49 = 7² = (√7)⁴
Hence,
⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶
Apply the multiply rule in exponent,
⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴
By comparing,
⇒ x = 4x - 24
Solve for x,
⇒ x - 4x = - 24
⇒ - 3x = - 24
⇒ 3x = 24
⇒ x = 24 / 3
⇒ x = 8
Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,
⇒ x = 8
Learn more about the equation visit:
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If A central angle has a measure of 2. 3 radians and the subtended arc length is 12 cm, then the radius of the circle is approximately 5.2 cm.
The formula relating the central angle, radius, and arc length of a circle is:
arc length = radius × central angle
We can use this formula to find the radius of the circle, given the central angle and arc length.
Substituting the given values, we get:
12 cm = r × 2.3 rad
Solving for r, we divide both sides by 2.3 rad:
r = 12 cm / 2.3 rad
Using a calculator, we get:
r ≈ 5.2174 cm
Rounding to the nearest tenth, we get:
r ≈ 5.2 cm
Learn more about radius here
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O 0.018%
O 0.019%
O 1.87%
O 1.90%
O 2.10%
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Answer:
.187
Step-by-step explanation:
B. a number greater than 4
C. a multiple of 3
D. an even number
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(desired outcomes)/(total possible outcomes)
total possible is 8 since 8 total spaces
A. number les than 4, there are 3 numbers (1,2,3) so
3/8 os probability
B. number greater than 4, ther are 4 (5,6,7,8), so 4/8=1/2 is probability
C. multiplule of 3, there are 2 (3,6) so 2/8=1/4 is probability
D. even number, there are 4 (2,4,6,8) so 4/8=1/2 is probability
A. 3/8
B. 1/2
C. 1/4
D. 1/2