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const2013 [10]
2 years ago
6

I need the steps to solve this please

Mathematics
1 answer:
Alenkinab [10]2 years ago
5 0

Answer:

the first 3 options

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

13\sqrt{2} - 5\sqrt{2} < x < 13\sqrt{2} + 5\sqrt{2}

8\sqrt{2} < x < 20\sqrt{2} ( converting to decimal )

11.3 < x < 28.3

3 possible lengths for XZ are then values

11.5 cm , 13 cm , 18.5 cm

the other options are out with the range

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I’ve been stuck on question 1 for a while, can you guys help?
MakcuM [25]

Answer:

h=20**

**The picture is not accurate for this problem.

Step-by-step explanation:

I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.

Let BC=x+(99-x) where x is equal to the first partition of BC (reading from left to right) and (99-x) is equal to the second partition of BC (reading from left to right).

We have the following system to solve:

20^2=h^2+x^2

101^2=h^2+(99-x)^2

I will use elimination to first solve for x.

Subtract the equations:

20^2-101^2=x^2-(99-x)^2

Factor both sides using a^2-b^2=(a-b)(a+b):

(20-101)(20+101)=(x-(99-x))(x+(99-x))

Simplify inside the ( ).

(-81)(121)=(2x-99)(99)

Divide both sides by 9:

(-9)(121)=(2x-99)(11)

Divide both sides by 11:

(-9)(11)=(2x-99)(1)

Simplify both sides:

-99=2x-99

Add 99 on both sides:

0=2x

Divide both sides by 2:

x=0

Now go to either equation we had in the beginning to find h.

20^2=h^2+x^2 with x=0

20^2=h^2

20=h

4 0
3 years ago
Jen wrapped a gift that was six inches wide and ten inches tall. The volume of the box was 120 inches. What was the length of th
Arada [10]

Answer:

2

Step-by-step explanation:

120 divided by 60 = 2. The length of the box is 2 inches. This can be proven through substitution: 120 = 6 x 10 x 2.

5 0
3 years ago
Please help me <br><br> Write the 2 hundreds each number is between
Ede4ka [16]

53: 800 and 900

54: 700 and 800

55: 500 and 600

56: 2,771,100 and 2,771,200

57: 90,120,000 and 90,120,100

58: 631,900 and 632,000

59: 93,300 and 93,400

60: 200 and 300

61: 900 and 1000

62: 39,576,700 and 39,576,800

63: 24,900 and 25,000

64: 471,100 and 471,200

4 0
4 years ago
PLEASE HELP (marking brainliest)
stich3 [128]

Answer:

28 free thows

Step-by-step explanation:

35÷5=7

4×7=28

6 0
3 years ago
Read 2 more answers
Show all work to factor x4 − 10x2 + 9 completely.
leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0
3 years ago
Read 2 more answers
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