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eduard
3 years ago
6

21. Construct quadrilateral ABCD, where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm,

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
AC= 10cm because B is the half point between A and C so your adding AB= 4.5 cm and BC= 5.5 cm you get a total of 10 cm, so your answer would be 10 cm
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pencils are sold in packages of 10 and erasers are sold in packages of 6 what is the least number of pencils and erasers you can
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you only can only buy six pencils and six erasers

4 0
3 years ago
Read 2 more answers
Point K is on line JL. given JL =4x, JK= 2x+3, and KL=x, determine the numerical length of kl​
balandron [24]

Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

4x=(2x+3)+(x)

4x=3x+3

To solve for x, we have to isolate it on one side of the equation.

First, let's subtract 3x from both sides so that we can isolate x:

4x=3x+3

-3x -3x

x=3

<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

5 0
3 years ago
Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
The area of the triangle with sides 60 cm,100 cm and 140 cm is of the form 1500 square root x cm².
Ede4ka [16]

Answer:

150

Step-by-step explanation:

5 0
3 years ago
Please help me. alg 2<br><br> Find the common ratio of the geometric sequence -13, 39, -117
grandymaker [24]

Answer:

-3

Step-by-step explanation:

you can divide the second term by the first term to solve

39/-13 = -3

then,  I like to check that this fits with the third term

39*-3 = -117

so the common ratio is -3

6 0
3 years ago
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