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Lyrx [107]
3 years ago
5

What is the area of this tile?10 in8 in6 in.​

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

480 in.

Step-by-step explanation:

To find the answer you must multiply all three numbers. 10 x 8 x 6 = 480.

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
e-lub [12.9K]

Answer:

DC=\frac{8}{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

BM^2=AB^2-AM^2

we have

AB=5\ units\\AM=x\ units

substitute

BM^2=5^2-x^2

BM^2=25-x^2 -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

BM^2=BC^2-MC^2

we have

BC=7\ units\\MC=AC-AM=(9-x)\ units

substitute

BM^2=7^2-(9-x)^2

BM^2=49-(81-18x+x^2)  

BM^2=49-81+18x-x^2

BM^2=-x^2+18x-32 ----> equation B

equate equation A and equation B

-x^2+18x-32=25-x^2

solve for x

18x=25+32\\18x=57\\\\x=\frac{57}{18}

Simplify

x=\frac{19}{6}

<em>Find the length of DC</em>

DC=AC-2x

substitute the given values

DC=9-2(\frac{19}{6})

DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units

8 0
3 years ago
Find the value of x, y, and z.
egoroff_w [7]

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

x + x + 58 \degree = 180 \degree \\  \\ 2x = 180 \degree - 58 \degree \\  \\ 2x = 122 \degree \\  \\ x =  \frac{122 \degree}{2}  \\  \\ x = 61\degree  \\  \\ y = 61\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree  \\  ( \angle s \: in \: the \: alternate \: segment) \\

8 0
3 years ago
Plz help I am bad at this
Vikentia [17]
Your answer is either A or D
8 0
3 years ago
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