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suter [353]
3 years ago
8

Shinji started with angle ∠ABC and constructed ray BE

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

A and C

Step-by-step explanation:

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What is 64x12 – 1,000 written as a difference of cubes? (4x)3 – 103 (8x)3 – 1003 (4x4)3 – 103 (8x4)3 – 1003
Ksju [112]
We have to choose the correct answer and to show what is 64 x^12 - 1,000 written as a difference of cubes.
64 = 4^3
x^12 = ( x^4 )^3
1,000 = 10^3
Finally:
64 x^12 - 1,000 = ( 4 x^4 )^3 - 10^3
Answer:
C ) ( 4 x^4 )^3 - 10^3
8 0
3 years ago
Read 2 more answers
A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the
Goryan [66]

Answer:

<em>The perimeter of the pizza slice is 20.1 cm</em>

Step-by-step explanation:

<u>Perimeter of a Sector of a Circle</u>

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

\theta=50*\frac{\pi}{180}=\frac{5\pi}{18}

The perimeter is:

P = 7*\frac{5\pi}{18} + 2*7

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm

6 0
3 years ago
If 3 is added to a number and the sum is tripled​, the result is 21 more than the number. find the number.
zavuch27 [327]
<span>If 3 is added to the number: x + 3
b) ...and the sum is tripled.. 
"The sum" is "x + 3" so: 3(x+3)
c) ...the result is 27 more than the number.
27 more than the number is x + 27 
d) Put it all together:
3(x + 3) = x + 27 
Solve for x: 
1) Distribute the left side of the equation:
3x + 9 = x + 27

2) Subtract x from each side of the equation:
2x + 9 = 27
3) Subtract 9 from each side of the equation:
2x = 18
4) Solve for x:
x = 9 
Check: 
1) x = 9
2) 3(x + 3) = x + 27
3) 3 ([9] + 3) = [9] + 27
4) 3(12) = 9 + 27
5) 36 = 36 

So, therefore The answer is correct</span>
7 0
3 years ago
mitchell drew a card from a standard deck of playing cards. what is the probability that he drew a queen, geven that the card wa
trasher [3.6K]

Answer:

2/52

Step-by-step explanation:

because there are only two red Queens and there is 52 cards in a deck

6 0
3 years ago
The sum of all but one interior angle of a heptagon is 776°. What is the measure of the final interior angle? 42º 56º 124º 3
weqwewe [10]

The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)

<h3>What is the measure of the missing interior angle in a heptagon?</h3>

Heptagons are polygons with seven sides, seven vertices, seven <em>interior</em> angles and seven <em>central</em> angles. Herein we know the value of the sum of six interior angles and we need to know the measure of the seventh <em>interior</em> angle. We can determine the measure of the seven interior angles by using the following expression:

θ = (n - 2) · 180°, where n is the number of sides of the polygon.     (1)

If we know that n = 7, then sum of the internal angles in the heptagon is:

θ = (7 - 2) · 180°

θ = 900°

And the measure of the final interior angle is found by subtraction:

θ₇ = 900° - 776°

θ₇ = 124°

The measure of the seventh <em>interior</em> angle of the heptagon is 124°. (Correct choice: C)

To learn more on polygons: brainly.com/question/17756657

#SPJ1

3 0
2 years ago
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