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Airida [17]
4 years ago
11

Finding unknown angle measures of right triangles.

Mathematics
2 answers:
Levart [38]4 years ago
6 0
Right triangles add up to 180 degrees and one of the angles is 90
Novay_Z [31]4 years ago
6 0
1.
The angles of the triangle add up to 180 degrees.
x+90+58=180
x+148=180
x=32 degrees

2.
x+37+90=180
x+127=180
x=53 degrees

Hope this helped!
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Use the identity x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−yz−zx) to determine the value of the sum of three integers given: the sum of
fenix001 [56]

ffn

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-zx)

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))

the sum of their squares is 110, So x^2+y^2 + z^2= 110

the sum of their cubes is 684, so  x^3+y^3 + z^3= 684

the product of the three integers is 210, so xyz= 210

the sum of any two products (xy+yz+zx) is 107

Now we plug in all the values in the identity

x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx))

684 - 3(210) = (x+y+z)(110-107)

684 - 630 = (x+y+z)(3)

54 = 3(x+y+z)

Divide by 3 on both sides

18 = x+y+z

the value of the sum of three integers is 18

3 0
4 years ago
I need four lines that are parallel because I am doing a math project which is tainted glass
barxatty [35]

Answer:

Okay so what do we do

Step-by-step explanation:

6 0
3 years ago
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jacob bought a place mat. The place mat has four sides and only one pair of parallel sides. Which could be the shape of Jacob's
Gwar [14]
A rectangle is the answer 
8 0
3 years ago
Read 2 more answers
Find the factors of f(x) given that x = 5 is a zero.
77julia77 [94]
  • If x = 5 is a zero of the given polynomial, then,
  • (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
  • Now, divide the polynomial with (x - 5) using long division method. (See the picture)
  • We get (x^2 - x - 6) as the quotient.
  • Now, factorise the above polynomial:
  • (x^2 - x - 6)
  • = (x^2 - 3x + 2x - 6)
  • = x(x - 3) + 2(x - 3)
  • = (x - 3)(x + 2)
  • Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

<u>Answer</u><u>:</u>

<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0
2 years ago
A bag contains 7 marbles: 4 red, 2 yellow, and 1 green. Three
qwelly [4]

Answer:

Step-by-step explanation:

you have 7 reds of 14 total.

the 1st marble has 7 of 14 probability of being red

the 2nd has 6 of 13 of being red

the 3rd has 5 of 12 of being red

multiplying this out you have:

(7/14)*(6/13)*(5/12)=210/2184

THAT will condense down to 5/52 or 9.615%

this does assume not placing the balls back in between draws

if you do put them back in between draws you would have 7 of 14 chance each draw

that would give you by multiplying out

(7/14) * (7/14)* (7/14) = 343/2744

Found it online lol

that condenses to 1 of 8 or 12.5%

Found it online lol

3 0
2 years ago
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