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3 years ago

Given the lines a and b are parallel and that m<8=180, find

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

D) 72°

Step-by-step explanation:

Sum of angles 7 and 8 is 180° as they are supplementary

Angles 7 and 3 are corresponding angles and they measure same as per property of corresponding angles, therefore:

m∠3 = m∠7
m∠7 = 180° - m∠8 = 180° - 108° = 72°
So m∠3 = 72°

Option D is correct

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Based on the drawing, Which can be used to prove PQR ≅ STV?

natta225 [31]

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus, PQR ≅ STV ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.

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3 years ago

Tammy wants to get change for $.30. The only coins she can get are quarters, nickels and dimes. How many different ways can she

Dmitry_Shevchenko [17]

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4 years ago

The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fi

Rus_ich [418]

Answer:

$78.5\ ft^{2}$

Step-by-step explanation:

we know that

If the floor of Cara's living room is 10 feet by 14 feet

then

the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet

<em>Find the area of the circular rug</em>

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi=3.14$

substitute the values

$A=(3.14)(5)^{2}=78.5\ ft^{2}$

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3 years ago

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sashaice [31]

Answer:1/8

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