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3 years ago

Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28

Mathematics

1 answer:

yarga [219]3 years ago

4 0

Answer:

AB=14

Step-by-step explanation:

First you write the equation 2(2x-4)=28 because if b is the midpoint then AB is half of the line so you multiply that half by two the make it equal to the whole line.

Then you distribute the two and get 4x-8=28.

Then you add 8 to 28 and get 36.

Then you divide 36 by 4 because the 4 and x are being multiplied together so you have to divide to get them apart.

So then you get x=9 and you aren't done yet because you have to plug x into 2x-4.

So it is 2(9)-4 which is 18-4 which equals 14.

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1/4d=1/5g(g+e)-h <br> solve for d<br> Please show your work.

loris [4]

Answer:

See below

Step-by-step explanation:

To solve for d, multiply both sides of the equal sign by 4.

4(1/4d) = 4 (1/5g(g+e)-h)

4/4d = 4(1/5 $g^{2}$ + 1/5ge - h)

d = 4/5 $g^{2}$ + 4/5ge - 4h

5 0

3 years ago

Suppose you get a cut on your finger and 5 bacteria cells get into the cut. Each hour the number of bacteria cells will double u

BlackZzzverrR [31]

Answer:

5⁶⁴ = 152587890625⁴ bacteria's at 7 hours

Step-by-step explanation:

Simple..

it means the bacteria is increasing exponentially.

This is a geometric progression.

at 0 hrs = 0 bacteria

at 1 hr = 5 bacteria

at 2hr = 25 " = 5²

at 3hrs = 25 x 25 = 5² x 5² = 5⁴

at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸

at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶

at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²

at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴

5⁶⁴ = 152587890625⁴

6 0

3 years ago

There are 6 rectangular flower gardens each measuring 18 feet by 17 feet in a rectangular city park measuring 80 feet by 160 fee

Aneli [31]

The area which is not in used for the flower gardens is 10964 sq ft.

Step-by-step explanation:

Given,

Length (l) of the rectangular park = 160 ft

Width (b) of the rectangular park = 80 ft

Length (l) of each rectangular flower garden = 18 ft

Width (b) of each rectangular flower garden = 17 ft

To find the area which is not in used.

Formula

The area of rectangle = l×b

Now,

The area of the rectangular park = 160×80 sq ft = 12800 sq ft

The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft

The area of 6 rectangular flower garden = 306×6 sq ft = 1836 sq ft

So,

The area which is not in used = 12800-1836 sq ft = 10964 sq ft.

4 0

3 years ago

Help... need it right now ;-;

zalisa [80]

Answer:

Step-by-step explanation:

|3 + 2 - 6| = |5 - 6| = |-1| = 1

3 0

3 years ago

Read 2 more answers

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

larisa86 [58]

ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

$Area = \frac{1}{2} \times base \times height$
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

$\sin(68 \degree) = \frac{height}{20 }$

$height = 20 \sin(68 \degree)$

$height = 18.54$

We now plug in the values in to the formula to obtain,

$Area = \frac{1}{2} \times 12 \times 18.54$

$Area = 111.3 \: square \: units$

See graph

7 0

3 years ago

Read 2 more answers