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saw5 [17]
3 years ago
12

Quadrilateral ABCD is a a square and the length of BE is 6 cm.What is the length of AC?

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

AC=BD

3. Then, the length of BD is twice BE. So, you can calculate it as following:

BD=2BE

BD=2(6cm)\\BD=12cm

4. Therefore, the lenght of AC is:

AC=12cm

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The smaller triangle was dilated to form the larger triangle. What is the value of x?
strojnjashka [21]

Answer:

The value of x is 14

Step-by-step explanation:

The value of x is 14 because the smaller triangle was dilated by 3 to get the bigger triangle. I figured this out because

9 ÷ 3 = 3

so this would mean that 5 was dilated by 3 also. So to figure this out, it would be

5 × 3 = 15

1 of that 15 is already there.

So this means that

15-1=14

A=14

I hope this helps you.

5 0
3 years ago
Read 2 more answers
Sloane kicked a soccer ball at a speed of 56 feet per second. If the ball never leaves the ground, then it can be represented by
aksik [14]

Answer:

Third option: t=3.5\ seconds

Step-by-step explanation:

Given the function:

 H(t)=-16t^2 +56t

 Since the ball never leaves the ground, you need to  substitute H(t)= 0 in the function in order to determine the time the soccer ball traveled:

0=-16t^2 +56t

Factorizing, you get:

0=-8t(2t-7)

Then:

0=-8t\\\\t=0\ seconds\\\\\\\\0=2t-7\\\\7=2t\\\\t=3.5\ seconds

Therefore the time the ball traveled was:

t=3.5\ seconds

3 0
2 years ago
What is 33 1/3 of 51 equals what please show work
Leona [35]
If ur asking for it in percent, it is 17. 33 1/3 percent is the same thing as 1/3 of a number. therefore, u multiply 51 by one third or divide 51 by 3
7 0
2 years ago
Read 2 more answers
Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
sergeinik [125]

Answer: As x —> positive infinity, q(x) —> positive infinity, and as x —> negative infinity, q(x) —> positive infinity

Step-by-step explanation:

Khan Academy! Hope this helps

3 0
3 years ago
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The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.
ElenaW [278]

well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.

B)

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x

A)

Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.

5 0
3 years ago
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