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Ilya [14]
3 years ago
11

Jessica drew a circle divided into 8 equal parts. She shaded 6 of the parts. What fraction is equivalent to the part of the circ

le that is shaded?
Mathematics
2 answers:
barxatty [35]3 years ago
5 0
The colored 6 out of 8 or 6/8, which can be simplified as 3/4!

Hope this helps!
jarptica [38.1K]3 years ago
5 0
The answer is 3/4 hope this answer helps people
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4y-x=5+2y; 3x+7y=24 solve systen by using substitution
jek_recluse [69]
4y - x = 5 + 2y ..... (1)
3x + 7y = 24    ..... (2)

by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span>        ..... (1a)

by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x  -  6y = -15  ..... (1b)

by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
                      13y = 39
           ⇒            y = 3

by substituting y=3 into (2)
    3x + 7(3) = 24 
              3x = 24 - 21
              3x = 3
        ⇒     x = 1


∴ solution to the system is x=1 when y = 3
6 0
3 years ago
A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian
expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that  Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

\frac{PQ}{AB} = \frac{QR}{BC}

Substitute the value of AB, QR and BC to solve for PQ;

\frac{PQ}{12}=\frac{34.5}{11.5} or

PQ = \frac{34.5 \times 12}{11.5}

On simplify:

PQ = 3 \times 12 = 36

Therefore, the length of side PQ is 36 units.





8 0
3 years ago
Read 2 more answers
Pleaseeeeeeee helppppppppppppppppppppppppppppp
ankoles [38]
The first two are true and the last one is false
8 0
2 years ago
Task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence.
yarga [219]

Answer:

#5: Equivalent

#6: Not Equivalent

1. 3x+6

2. 4y-4

3. x²+6x

4. xy+4x

5. 3x²+3xy-3x

Step-by-step explanation:

for #6 the equivalent: 2x(x+3)= 2x²+6x

8 0
1 year ago
Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the
nadezda [96]

The line needs to be 8.06 m long

Explanation

Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.

The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.

base=4m

height=7m

hypotenuse can be determined using pythagoras law

b^{2} +h^{2} =H^{2} \\x^{2} 4^{2}+ 7^{2}= H^{2} \\16+49=H^{2} \\H=\sqrt{65} \\=8.06 m

4 0
3 years ago
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