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earnstyle [38]
3 years ago
6

Please help... ABCD is a quadrilateral​

Mathematics
1 answer:
IgorC [24]3 years ago
3 0
A ———————————————————
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How many school buses will fit a thousand people if the school bus seats 72
sdas [7]
For problems like these, we use something called a ceiling function, in which \lceil{x}\rceil = \text{the smallest integer that is greater than or equal to x}. If we do \lceil1000 / 72\rceil, we get that we do \lceil13.888...\rceil, which is 14 buses. We take the ceiling of the division because if we don't, we know that there are going to be extra kids left over that won't be able to seat on a bus. If we just rounded down to 13 buses, we would have been able to seat only 936 kids, a full 64 kids left over.
7 0
3 years ago
Read 2 more answers
Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-grade
Lady_Fox [76]

Answer:

40

Step-by-step explanation:

6 of 30 is the ratio 6 to 30 or 6/30.

6/30 reduces to 1/5

The survey shows that 1/5 of the students attend summer camp.

1/5 of 200 = 1/5 * 200 = 40

3 0
3 years ago
pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs. ​
never [62]
<h3>Given:</h3>

PQRS is a rectangle.

PS = 5cm

PQ = 12cm

<h3>To Find:</h3>

The length of qr ,sr and the two diagonals pr and qs.

<h3>Solution:</h3>

Opposite sides of a rectangle are equal.

QR = PS = 5cm

SR = PQ = 12cm

By using Pythagoras Theorem, we get

PR = √PS^2 + SR^2

or, PR = √25 + 144

or, PR = √169

or, PR = 13cm

Diagonals of a rectangle are equal.

QS = PR = 13cm

<h2>Answer:</h2>

QR = 5 cm

SR = 12 cm

PR = 13 cm

QS = 13 cm

7 0
4 years ago
Which statement must be true to prove m angle&lt;1+m angle m&lt;2+m&lt;3=180^ ? 2 3 B A A m angle1+m angle2=180^ -m angle3; m an
maria [59]

The properties or relationship between the angles m∠1, m∠2, and m∠3 can be used to determine the statement that must be true

The correct option that gives the statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°, is the first option

A. m ║ n

Reason:

Which statement must be true to prove that m∠1 + m∠2 + m∠3 = 180°?

A. m ║ n

B. m∠1 + m∠2 = 180° - m∠3

C. m∠1 + m∠2  = 90°

D. m∠1 = m∠2 = m∠3

Given that m∠1 + m∠2 + m∠3 = 180°, we have;

m∠ACD + m∠2 + m∠3 = 180° by angles on a straight line

Therefore;

m∠ACD = m∠1 by addition property of equality

m∠ACD ≅ m∠1 by definition of congruency

m∠ACD and m∠1 are alternate interior angles formed between lines <em>m</em> and <em>n</em> and their common transversal AC

Which gives;

<em>m</em> ║ <em>n</em>, by alternate interior angles theorem which states that alternate interior formed between parallel lines are congruent

Therefore;

The statement that must be true to prove that m∠1 + m∠2 + m∠3 = 180°  is <u><em>m</em></u><u> ║ </u><u><em>n</em></u>

<em />

Learn more here:

brainly.com/question/12676838

6 0
3 years ago
Find the distance between the points (a1, b1) and (a2, b2).
Molodets [167]

Step-by-step explanation:

Let there be point X whose coordinates are (a2,b2) and point Y whose coordinates are (a1,b1)

Using distance formula ,

\sqrt{ ({a}^{2} -  {a}^{1}) + ( {b}^{2} -  {b}^{1}  )  }

where \:  {a}^{2 }  >  {a}^{1}   \: and \: \:   {b}^{2}  >  {b}^{1}

If \:  {a}^{1} > {a}^{2} \: and \: {b}^{1}>{b}^{2}

Distance formula will be

\sqrt{({a}^{1} - {a}^{2}) + ({b}^{1} - {b}^{2})}

8 0
3 years ago
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