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uranmaximum [27]
1 year ago
5

Find the value of W that makes quadrilateral PQRS a parallelogram.

Mathematics
1 answer:
mestny [16]1 year ago
6 0

to be a parallelogram its front sides must be equal to each other

so, we equalize the length of two sides that are face to face

\begin{gathered} 5w-25=w+15 \\  \\  \end{gathered}

and solve for w

\begin{gathered} 5w-w=15+25 \\ 4w=40 \\ w=\frac{40}{4} \\  \\ w=10 \end{gathered}

the value of w must be 10

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sonja wants to have $14000 in 13 years. calculate how much she should invest now at 6% interest, compounded semiannually in orde
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She should invest $6491.73.

The equation we use to solve this is in the form
A=p(1+\frac{r}{n})^{nt}, 
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.

A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
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14000=p(1+\frac{0.06}{2})^{13*2}
\\
\\14000=p(1+0.03)^{26}
\\
\\14000=p(1.03)^{26}
\\
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\\6491.73\approx p
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3 years ago
How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go se
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Answer:

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According to the AAS Theorem, two triangles are considered congruent to each other when two angles and a mon-included side of one triangle are congruent to two corresponding angles and a corresponding non-included side of the other.

Thus, in the diagram given:

<A and <B in ∆ABC are congruent to corresponding angles <D and <E in ∆DEF.

The only condition left to be met before we can conclude that both triangles are congruent by the AAS Theorem is for a mon-included side AC to be congruent to corresponding non-included side DF.

So, AC ≅ DF is what is needed to make both triangles congruent.

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3 years ago
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