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ipn [44]
3 years ago
10

A gift shop had 500 coloring pencils. The shop sold 3 sets of 20 coloring pencils, 6 sets of 12 coloring pencils, and 10 sets of

18 coloring pencils. Write a numerical expression to show how many coloring pencils are left. Evaluate the numerical expression using order of operations. Show your work.
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0
500-(3*20)-(6*12)-(10*18)=188 pencils left
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Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,
MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS     (Vertically Opposite Angles)

∠QAP=∠QSR     (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS  (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0
3 years ago
Anyone know this?? I’m confused..
Lelechka [254]

Answer:

jgh

side side side axioms

not sure

4 0
3 years ago
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An airline charges nothing for a suitcase up to 20 pounds. For every pound over 20, the airline charges $2 per pound (only for p
wel

Answer:

$30

Step-by-step explanation:

For a 35 pounds suitcase, the airline charges $0 for the first 20 pounds and $2 per pound for the remaining 15 pounds as the airline charges for only pounds over 20

8 0
3 years ago
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Which of the following are examples of a geometric sequence? Select any and all that apply: may be more than one correct answer.
nevsk [136]

Answer:

( 1 , -2 , 4 , -8 , 16 , ... )

( 9 , 3 , 1 , 1/3 , 1/9 , ... )

Step-by-step explanation:

A geometric sequence has a common ratio in consecutive terms,

In sequence,

1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}.....

\frac{1/2}{1}\neq \frac{1/6}{1/2}\neq \frac{1/24}{1/6}\neq \frac{1/120}{1/24}...

i.e.

1, \frac{1}{2}, \frac{1}{6},\frac{1}{24},\frac{1}{120}..... is not a Geometric sequence,

1 , -2 , 3 , -4 , 5 , ...

\frac{-2}{1}\neq \frac{3}{-2}\neq \frac{-4}{3}\neq \frac{5}{-4}...

i.e. 1 , -2 , 3 , -4 , 5 , ... is not a Geometric sequence,

In sequence,

1 , -2 , 4 , -8 , 16 , ...

\frac{-2}{1}=\frac{4}{-2}= \frac{-8}{4}= \frac{16}{-8}...

i.e. 1 , -2 , 4 , -8 , 16 , .... is a Geometric sequence,

In sequence,

0 , 1 , 0 , -1 , 0 , .....

\frac{1}{0}\neq \frac{0}{1}\neq \frac{-1}{0}\neq \frac{0}{-1}...

i.e. 0 , 1 , 0 , -1 , 0 , .....is not a Geometric sequence,

In sequence,

9 , 3 , 1 , 1/3 , 1/9 , ...

\frac{3}{9}=\frac{1}{3}= \frac{1/3}{1}= \frac{1/9}{1/3}...

i.e.  9 , 3 , 1 , 1/3 , 1/9 , ... is a Geometric sequence,

In sequence,

1 , 3 , 5 , 7 , 9 , ...

\frac{3}{1}\neq \frac{5}{3}\neq \frac{7}{5}\neq \frac{9}{7}...

i.e. 1 , 3 , 5 , 7 , 9 , ... is not a Geometric sequence

4 0
3 years ago
Recall that two angles are complementary if the sum of their measures is 90degrees°. Find the measures of two complementary angl
Law Incorporation [45]

Answer:

90degrees

Step-by-step explanation:

The sum of complimentary angles will always be 90degrees

4 0
3 years ago
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