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3 years ago

EXTRA POINTS :) what is the value of x??

Mathematics

1 answer:

vlada-n [284]3 years ago

8 0

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180° then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180 subtract 10 from both sides

-10 -10

10x = 170 divide each side by 10

/10 /10

x = 17

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solmaris [256]

ANSWER

$x = 13$

EXPLANATION

Use the Pythagoras Theorem to obtain,

${x}^{2} = {12}^{2} + {5}^{2}$

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${x}^{2} = 144 + 25$

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2 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

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

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

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3 years ago

4x=17 math answer question

igor_vitrenko [27]

Answer: 4.25

divide 4 on both sides, and it should leave you with x = 4.25

your welcome :)

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3 years ago