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2 years ago

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Mathematics

2 answers:

PIT_PIT [208]2 years ago

7 0

Answer:

m<BAD = 67

Step-by-step explanation:

The given figure is a parallelogram. Consecutive angles in a parallelogram are supplementary, meaning that their angle measures sum up to 180 degrees. Using this, one can say,

m<D + m<A = 180

Substitute,

m<ADB + m<BDC + m<A = 180

71 + 42 + m<A = 180

113 + m<A = 180

Inverse operations,

113 + m<A = 180

-113 -113

m<A = 67

Reika [66]2 years ago

5 0

Answer:

Step-by-step explanation:

71+42+BAD=180

BAD=67

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

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Answer:

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Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

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$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

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we have

$D=18\ in$

substitute

$18^2=2b^2$

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$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

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