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3 years ago

11

I don't understand how to solve?

1 answer:

Kobotan [32]3 years ago

6 0

Ok u have a phone and call 911 and say I don't know to solve can u help me

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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

Solve 2a 2 - 3a - 2 = 0<br><br> {-1/2, 2}<br> {1/2, -2}<br> {}

d1i1m1o1n [39]

Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}

8 0

2 years ago

Read 2 more answers

If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.

Darina [25.2K]

Answer:

The value of b is -3 and m is 0.

Step-by-step explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

$y = mx + 3$

At (2,3),

$3 = m(2) + 3$

$3 - 3 = 2m$

$2m = 0$

$m = 0$

Find b,

$y = 3x + b$

At (2,3),

$3 = 3(2) + b$

$b + 6 = 3$

$b = 3 - 6$

$b = - 3$

3 0

2 years ago

Read 2 more answers

What are all the answers to this screenshot

sp2606 [1]

Answer:

b. 0.1 difference

c. 1.04 times

d. 6th, 8th, 7th

7 0

3 years ago

A pipe is 30 feet long. It needs to be cut into pieces that are each 2/3 feet long. How many pieces can be made from the pipe?

Veseljchak [2.6K]

Answer:

45 pieces

Step-by-step explanation:

30 divided by 2/3. Use KCF and you get 30/1 x 3/2

30/1 x 3/2= 90/2=45

3 0

2 years ago

Read 2 more answers