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3 years ago

12

Round 644.4 644.4644, point, 4 to the nearest one.

2 answers:

creativ13 [48]3 years ago

7 0

Answer:

644

Step-by-step explanation:

Over [174]3 years ago

6 0

Answer:

$6 \\ 6 \\ 0$

Step-by-step explanation:

$to \: the \: nearest \: one \to \: and \: not \: one \: hundred \\$

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3 years ago

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

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

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

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4 years ago

The one whoever solved it until 11 :00 am will be markrd as the branliest plus 20 points it arrange in ascending order with meth

Monica [59]

Answer:

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2) 3/10, 2/5, 7/10, 4/5

3) 1/4. 7/12. 2/3, 5/6

4) 4/15. 11/30, 2/5, 7/10

Step-by-step explanation: Either convert all in a set to a common denominator, or convert to decimal fractions.

5 0

3 years ago