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Tju [1.3M]
3 years ago
7

Write an inequality for the sum of a number and 15 is less than 30

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
Number is n
sum means add
less than is <

sum of a number and 15 is less than 30
n+15<30
if yo solved yo get
n<15
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NOTE: Angles not necessarily drawn to scale.
jeka57 [31]

Answer:

x = 45°

Step-by-step explanation:

<u>Vertical Angle Theorem</u>

When two <u>straight lines intersect</u>, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).

From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

  • ∠FEC = x°
  • ∠DEG = 20° + 25° = 45°

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

6 0
2 years ago
The sum of a number and 6 is 23 write an equation to represent this situation
m_a_m_a [10]
The sum is the answer to an addition problem. Since we know the sum involves addition, we write an addition equation between the variable and the number given to us.
6 + n (number that was not given to use) = 23
5 0
3 years ago
Describe the translation in the figure from C to C’.
ziro4ka [17]
Figure C is translated 3 units up and 8 units right to form Figure C'.
7 0
3 years ago
Read 2 more answers
Explain how circle C with center at (−9, 8) and radius 7 is similar to circle D with center at (−1, −1) and radius 5.
Korolek [52]

Answer:

We are told that circle C has center (-4, 6) and a radius of 2.

We are told that circle D has center (6, -2) and a radius of 4.

If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.

Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.

Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.

Thus, the argument is correct and the last choice is best.

Cute copy and paste:

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☆ °☆ . * ● ¸ . ★¸ .

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6 0
3 years ago
Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Yuki888 [10]

Answer:

Roberto bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

Roberto bikes at 49.4/5.2=9.5 mi/h

Eileen bikes at 20.5/2.5=8.2 mi/h

9.5-8.2=1.3

So Roberto bikes faster than Eileen by 1.3 mi/h

7 0
3 years ago
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