The sum of a positive number and its square is 20. find the number.

Answers

Answer 1
Answer: so x+x^2=20
subtract 20 from both sdies
x^2+x-20=0
factor
find what 2 nmbers multiply to get -20 and add to get 1

factors of 20=2 times 2 times 5
the combos are
2 times 10
4 times 5
1 times 20

4 and 5 are 1 in diference
5-4=1
5 times 4=20


(x-4)(x+5)=0
if xy=0 then x and/or y=0
set each to zero
x-4=0
add 4
x=4


x+5=0
subtract 5
x=-5
but you want positive so this is an extranius answer so discard this


the number is 4
Answer 2
Answer: the answer is 4

4 + 16 = 20

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A store clerk has 45 shirts to pack in boxes. Each box holds 6 shirts. What is the fewest boxes the clerk will need to pack all the shirts

Answers

8 because since 6 times 7 = 42 and the store clerk has 45, he would need another box to take all the shirts

Lucas makes the statement: "The exterior angles of a triangle are always obtuse." Of the following, which provides a counterexample to the statement?

Answers

The given statement "The exterior angles of a triangle are always obtuse." is not always true.

The given statement is "The exterior angles of a triangle are always obtuse."

We need to provide a counterexample to the given statement.

What is an exterior angle?

The angle is formed by a polygonalside and its extended neighbouring side. When a transversal cuts one of two lines, it creates an angle that is outside of the line.

Take an obtuse-angled triangle as a counter-example:

An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if one of the angles measure more than 90°, then the sum of the other two angles is less than 90°.

In the figure given below, we can see in ΔABC, ∠A=110°.

Exterior angle to ∠A measures 70°.

Therefore, the given statement "The exterior angles of a triangle are always obtuse." is not always true.

To know more about exterior angles visit:

brainly.com/question/2546141

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Any answer choices? Im sorry

Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each person of the group one-sixth of the pie, how many people are in the group

Answers

20 because you must split the pie into sixths. This mean that for one pie there is six people. Six multiplied by 4 is 20.
24 because 4 multiplied by 6 is 24

What is the equation of the line that passes through (0,3) and (7,0)

Answers

Answer:

y = (-3/7)x + 3  

Step-by-step explanation:

As we go from (0,3) to (7,0), x increases by 7 from and y decreases by 3 to 0.

Thus, the slope of this line is m = rise / run = -3/7.

Subst. the appropriate values from this info into the slope-intercept form of the equation of a straight line:

y = (-3/7)x + 3                Note that the y-intercept is given:  (0,3).

Twins Maggie and Dana and their friend Rebecca were celebrating their tenth birthdays with a party at the beach. The first fun activity was water games. As Chelsea arrived, she observed that 1/3 of the kids were playing with beach balls, 40% were exploring underwater with goggles, and .25 were floating on tubes.

Answers

33.33% beach balls, 40% goggles, 25% tubes.
.33 people with beach balls, .40 had goggles, .25 were on tubes.
1/3 had beach balls, 2/5 people had goggles, 1/4 people had tubes.

Need Help ASAP, I'M CONFUSED, IF YOU CAN'T ANSWER DON'T ANSWER

Answers

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisectorof a line segment can be constructed using a compass by drawing circlescentered at and with radius and connecting their two intersections.

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