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3 years ago

How are number lines used to represent distance traveled?

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

Number lines can show what the distance is that you have traveled from one point to the other. You would be able to count on the number line.

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How would you solve this?? i need to understand the process to theses types of problems!!

Evgen [1.6K]

Answer:

CD = 10√3

Step-by-step explanation:

First of all, you need to understand the terms. The incenter is the center of an inscribed circle. Such a circle is tangent to all three sides of the triangle at points B, D, and F. The distances BG, DG, and FG are each the radius of the circle.

The diagram shows FG = 22, so that is also the measure of DG. This gives you two of the three sides of right triangle CDG, so you know enough to apply the Pythagorean theorem.

CG^2 = CD^2 + DG^2

28^2 = CD^2 + 22^2

300 = CD^2 . . . . . . . . subtract 22^2

10√3 = CD . . . . . . . . . take the positive square root

The measure of CD is 10√3.

_____

The process is to understand the geometric relationships and what they mean regarding the algebraic relationships. Then you use the algebraic relationships to write equations that let you find the unknowns you seek.

8 0

3 years ago

If UT is a midsegment of QRS, find SQ A. 8 B. 10 C. 16 D. 20

sladkih [1.3K]

If UT is the midsegment of QRS, then SQ = 2(2x + 2) = 4x + 4
Then,
(3x + 1)/(7x - 1) = (2x + 2)/(4x + 4) = 1/2
2(3x + 1) = 7x - 1
6x + 2 = 7x - 1
7x - 6x = 2 + 1
x = 3

Therefore, SQ = 4(3) + 4 = 12 + 4 = 16.

8 0

3 years ago

Are the two triangles similar. If so, State how

erastovalidia [21]

Answer:

Yes by AAA

Step-by-step explanation:

Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar

5 0

3 years ago

Mixed equations. Show work please

Alex_Xolod [135]

Solving:

1)

-58 - 6x = 42 + 4x
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 6x - 4x = 42 + 58
- 10x = 100 simplify by (-1)
10x = - 100
 $x = \frac{-100}{10}$
$\boxed{x = - 10}$ 

2)

37 + 5x = -2x - 33
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
5x + 2x = - 33 - 37
7x = - 70
 $x = \frac{-70}{7}$
$\boxed{x = - 10}$

3)

27 - 9x = -6x - 39
Pass the numbers with letter to the left and the numbers without letter to the right, changing the signal as they change sides.
- 9x + 6x = - 39 - 27
- 3x = - 66 simplify by (-1)
3x = 66
$x = \frac{66}{3}$
$\boxed{x = 22}$

3 0

3 years ago

A jacket at the store is being offered at a 25% discount. If the original price of the jacket is x, which answer choice shows an

Fofino [41]

Answer:

0.75x

Step-by-step explanation:

Given that :

Discount rate= 25%

Original price = x

Discounted price of jacket :

(100 - discount rate)% * original price

(100 - 25)% * x

75% * x

0.75x

3 0

3 years ago