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Olin [163]
3 years ago
8

What is the best reasoning for line 3

Mathematics
2 answers:
kiruha [24]3 years ago
5 0

Answer:

E

Step-by-step explanation:

Svetlanka [38]3 years ago
5 0
<h3>Answer: D) SAS</h3>

"S" stands for "side" and "A" stands for "angle"

SAS = side angle side

The order is important because the angles must be between the two congruent sides.

One pair of congruent sides is AC = CE as shown by the single tickmarks.

The other pair of congruent sides is BC = CD shown by the double tickmarks

The congruent angles are the vertical angles BCA and DCE. Vertical angles are always congruent. Note how these angles are sandwiched between the tickmarked sides.

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Alex has a bag of marbles. Each marble is red, blue, or yellow , and the ratio of the red to blue to yellow marbles is 6:10:15.
lesantik [10]

Answer:

There are 150 blue marbles in Alex's bag.

Step-by-step explanation:

Let x, y, z be the quantities of red, blue and yellow marbles, respectively. From statement we derive three rational equations for initial and final ratios:

Initial ratio

\frac{x}{y} = \frac{6}{10} (1)

\frac{y}{z} =  \frac{10}{15} (2)

Final ratio

\frac{x + 10}{z - 25} = \frac{1}{2} (3)

After some algebraic handling we get the following system of linear equations:

x - \frac{3}{5}\cdot y = 0 (1)

y - \frac{2}{3}\cdot z = 0 (2)

2\cdot (x + 10) = z - 25

2\cdot x +20 = z - 25

2\cdot x - z = -45 (3)

The solution of the system of linear equations is:

x = 90, y = 150, z = 225

There are 150 blue marbles in Alex's bag.

5 0
3 years ago
#1 Find each angle measure in the triangle. 3x⁰ 2x° 4x° The measure of the angle labeled 2xº angle labeled 3x° is Previous K °.
julia-pushkina [17]

3x° is 60° , 2x° is 40° and 4x° is 80°

<h3>How to determine the angles</h3>

Note that the sum of angles in a triangle is 180°

Solve for x in the triangle

Then,

3x° +2x° + 4x° = 180°

Add the x°

9x° = 180°

Divide both sides by 9

x° = 180÷ 9 = 20°

If x° = 20

Then 3x° = 3× 20 = 60°

2x° = 2 × 20 = 40°

4x°= 4× 20 = 80°

Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°

Learn more about angles in a triangle:

brainly.com/question/7620723

#SPJ1

8 0
2 years ago
A line passes through point (3, 7) and has a slope of . The equation of the line is . If point A(x, 5) lies on the line, the val
lakkis [162]
3,7 = 7 * 3 = 21 * 5 = 105 so the next reset is 105. Hope I helped and god bless you and have a wonderful day.. 
3 0
3 years ago
Read 2 more answers
6(a+3) = 18 + 6a
ivanzaharov [21]
6(a+3) = 18 + 6a 6(a+3)=6(3+a)
a+3=3+a
a-a=3-3
0a=0
<span>B. all real numbers</span>



7 0
4 years ago
4 pizzas cost £15. Work out the cost of 5 pizzas.​
nadezda [96]
We can divide 15 by 4. This gives us 3.75. This means that each pizza costs $3.75. I can now multiply 3.75 by 5.

3.75(5) = 18.75

5 pizzas cost $18.75.
8 0
3 years ago
Read 2 more answers
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