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4 years ago

For number five I need help plz help

Mathematics

1 answer:

Irina-Kira [14]4 years ago

7 0

10 times as much as: 10

1/10 of: 1000

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If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Whitepunk [10]

Answer:

x = 2

AB = 15

BC = 15

AC = 30

Step-by-step explanation:

Given that B is the midpoint of AC, then AB = ½ of AC.

AB is given as 3(3x - 1),

AC = 5(2x + 2),

Therefore:

$3(3x - 1) = \frac{1}{2}*5(2x + 2)$

Solve for x

$9x - 3 = \frac{5}{2}(2x + 2)$

Multiply both sides by 2

$2(9x - 3) = \frac{5}{2}(2x + 2)*2$

$18x - 6 = 5(2x + 2)$

$18x - 6 = 10x + 10$

$18x - 10x = 6 + 10$

$8x = 16$

Divide both sides by 8

$x = 2$

$AB = BC = 3(3x - 1)$

Plug in the value of x

$AB = BC = 3(3(2) - 1)$

$= 3(6 - 1) = 3(5) = 15$

$AC = 5(2x + 2)$

$AC = 5(2(2) + 2)$

$AC = 5(4 + 2) = 5(6) = 30$

8 0

4 years ago

The students in Ms. Garris's class collected items to put in gift baskets for the Senior Center. They collected 12 magazines, 24

marta [7]

Answer:

24 :)

Step-by-step explanation:

12 divided by 3 = 4

24 divided by 3 = 8

36 divided by 3 = 12

4 + 8 = 12

12 + 12 = 24

8 0

3 years ago

A test is worth 100 points where each multiple choice question is worth 2 points and each short answer question is worth 6 point

xeze [42]

10 Short answers and 20 multiple choice. Hope this helps. :)

7 0

4 years ago

Given that BD is an angle bisector <br><br> Solve for m

Anna71 [15]

Answer:

24 degrees

Step-by-step explanation:

since BD is an angle bisector, the given numbers are equal to each other

this means that you can write the equation as: 6x = x + 20

subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20

then divide both sides by 5 to find x: x = 4

now substitute this into the value given for angle ABD: 6(4)

this gives you 24 degrees

5 0

3 years ago

Is this right.need help

soldi70 [24.7K]

Why yes it is right. good work

5 0

3 years ago