Darrel went to the mall and spent $41. He brought several t-shirts that act cost $12 and he brought 1 pair of socks for $5. How many t-shirts did Darel buy?

Answers

Answer 1

Answer: Darrel bought three t-shirts seeing that 41-5=36/12=THREE

Answer 2

Answer:

He bought three since 3 x 12$= 36$ + 5$=$41

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Which statement about vertical angles is false?A. They are formed by two intersecting lines
B. They share a common vertex
C. They share a common side
D. They are congruent

Answers

The answer is C..

They do not share a side at all.

Knowing the points A(−5, 2), B(3, 4), C(−4, −3), and D(4, −1), and that segment AB parallel to segment CD, what is the length of segment AB and segment CD, and do points A, B, C, and D form a parallelogram?A) AB=8 and CD=8; therefore, ABCD is a parallelogram
B) AB=2sqrt17 and CD=2sqrt17; therefore, ABCD is a paralleogram
C) AB=4sqrt5 and CD=4sqrt5; therefore, ABCD is a parallelogram
D) AB = 2sqrt17 and CD=4sqrt5; therefore, ABCD is a parallelogram

Answers

I did a graph using the points given, based on what I drew, I choose Choice A.

AB = 8 and CD = 8 ; therefore, ABCD is a parallelogram.

Lines AB and CD are parallel, they both have the same measure which is 8. That is why they form a parallelogram.

Line AC and BD both equal 5.

If the base of a rectangle is 12cm and the area is 250.8cm2 what is the height of the rectangle

Answers

250.8cm^2/12cm= 20.9cm.
the height of the rectangle is 20.9 cm

250.8cm^2/12cm = 20.9cm
the height of the rectangle is 20.9cm

What is the value of n so that the expression x^2 + 11x + n is a perfect trinomial?a) 11
b) 25
c) 30.25
d) 36

Answers

the answer is c) 30.25

If ∠BAE = 45° and ∠CED = 70° is ΔABE ~ ΔCDE? If so, by what criterion?A) yes, by AA criterion
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.

Answers

Answer:

ΔABE ~ ΔCDE by AA criterion .

Option (A) is correct .

Step-by-step explanation:

As given

∠BAE = 45° and ∠CED = 70°

Now in the ΔABE .

By apply angle sum property of a triangles .

∠ABE + ∠BEA + ∠BAE = 180 °

(As ∠BAE = 45° , ∠ABE = 65°)

65 + ∠BEA + 45 = 180 °

∠BEA = 180° - (65+45)°

∠BEA = 180° - 110°

∠BEA = 70°

As in ΔCED .

∠CDE + ∠DEC + ∠ECD = 180°

(As ∠CED = 70° , ∠CDE = 65°)

65 + 70+ ∠ECD = 180°

∠ECD = 180° - (65+70)°

∠ECD = 180° - 135°

∠ECD = 45°

Now in the ΔABE and ΔCDE .

(1) ∠BAE =∠ECD = 45°

(2) ∠BEA=∠CED = 70°

(3) ∠ABE = ∠CDE = 65°

Thus ΔABE ~ ΔCDE by AA criterion .

Option (A) is correct .

A wheel of radius 10 cm is turning at a rate of 5 revolutions Calculate: the distance moved by a point on the rim in 2 seconds

Answers

Answer:

15°

Step-by-step explanation:

Angular velocity= 5rev/ min

= 10π/ min

But 1 min= 60 secs

= Angle turned/ 2secs

= 10π/(60×2)

= π/12 × 180/π= 15°

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