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3 years ago

180 red marbles to 145 blue marbles ratio

Mathematics

1 answer:

Ket [755]3 years ago

6 0

Answer:

36 : 29

Step-by-step explanation:

Require to simplify the ratio

180 : 145

Divide both parts by 5

= 36 : 29 ← in simplest form

Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.

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Select each unit fraction. A. 6 6 B. 1 8 C. 2 4 D. 1 3 E. 3 4

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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

In the right triangle ABM

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

In the right triangle BMC

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

$x=\frac{19}{6}$

Find the length of DC

$DC=AC-2x$

substitute the given values

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

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3 years ago

What is the value of the expression 30 divided by (negative 6)?

Degger [83]

Answer:

the answer is c-5

Step-by-step explanation:

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2 years ago

Read 2 more answers