In rectangle ABCD, diagonals AC and BD intersect at E. If AE=3x-28 and DE=.5x+12, find the length of AC.

Answer:

the area of the shaded region is 119.5

Step-by-step explanation:

area of a triangle formula 1/2bh (b= base) (h=height)

area of big triangle work

1/(20)(18)

20x18= 360

360 divided by 2 is 180 area of big triangle is 180

moving on to smaller triangle

1/2bh

1/2(11)(11)

121/2

60.5

THEN you subtract using bigger triangle by smaller

180-60.5=119.5

Yes.....

3x+24=42

3x=42-24

3x=18

x=18/3

.°. x=6

no...

3(x+8)=126

x+8=126/8...

3x+8=42

3x=42-8

3x=34

x=34/3....

4 number.... yes

3x+24=42

3x=42-24

3x=18

x=18/3

.°. x=6

second last yes and last not enough information...

Answer: 18² + 15² = 27²

Step-by-step explanation:

The side lengths of the triangle are 15cm, 18cm and 27cm. To know if it's a right angle triangle, the square of the length of the longest side which is the hypothenuse must be equal to the square of the two other sides. This will be:

18² + 15² = 27²

324 + 225 = 729

549 = 729

Since the answers gotten isn't equal, it is not a right angle triangle.

Answer:

x−3=x−3

Step-by-step explanation:

Evaluate (2x−1)−7, then set it equal to 2.

Subtract 7 from −1 = 2x−8

Solve 2x−8=2.

Move all terms not containing x to the right side of the equation.

Add 8 to both sides of the equation=2x=2+8

Add 2 and 8=2x=10

Divide each term by 2 and simplify.

Divide each term in 2x=10 by 2=2x/2=10/2

Cancel the common factor of 2

Cancel the common factor=10/2

Divide x by 1=x=10/2

Divide 10 by 2=x=5

Remove parentheses=x−3

List all of the solutions.

5=

(2x−1)−7=2=x=5

x−3=x−3

Answer:

If 5x-2 = 3x+4, then x=3

Step-by-step explanation:

5x-2=3x+4

Add 2 to both sides, and you get 5x=3x+6. Subtract 3x from both sides, and you get 2x=6. Divide both sides by 2, and what's left is x=3. Hope this helps. :)

Answer:

height of the balloon = 1.0494 miles        

Step-by-step explanation:

I drew a triangle and labeled angles A, B and C and sides a, b and c.

a = (c · sin A) / sin C = (3.5 · sin 24.5°) / sin 114.2° = 1.4514 / 0.9121 = 1.59 miles

now we have a 90° triangle

h = (a · sin B) / sin 90° = (1.59 · sin 41.3°) / sin 90° = 1.0494 / 1 = 1.0494 miles

Answer:2

Step-by-step explanation:

It is right I made this in venn diagram . sorry for poor picture quality

Answer:

The answer is D. 18

Step-by-step explanation:

Im on a unit test review rn just saying

The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

Data has been given, for apples as weight and number of apples, for the number of apples is the prediction of the total weight an extrapolation is to determine.

Extrapolation is defined as the estimation of an unspecified value established on extending a known series of values or realities. Extrapolating is to assume something not directly stated from existing data. Alter of extrapolation is Interpolation, it is the accomplishment of calculating a value between two comprehended values that exist between a sequence of values.

Since among the options number of apples for extrapolation is supposed to be the one that is beyond the given range, So for the following number of apples is 18.

Thus, The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

Learn more about extrapolation here:
https://brainly.com/question/18768845
#SPJ5

 

Answer:

x = 132

Step-by-step explanation:

Solve by raising both sides to the multiplicative inverse of the exponent.

[tex]((x-7)^{\frac{2}{3} } )^{\frac{3}{2} } =25^{\frac{3}{2} }[/tex]

x - 7 = 125

x = 132

Answer:

p=4

Step-by-step explanation:

Answer:

1.) x={1,−2}

2.) x={3,-9}

3.) x = {4, 4}

4.) x={0, 12}

5.) x = {6, 8}

Step-by-step explanation:

1.) x2+x-2=0

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   1 .

-2 +  1=   -1

     -1+ 2=  1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2

             x2 - 1x + 2x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                 x • (x-1)

add up the last 2 terms, pulling out common factors :

                   2 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+2)  •  (x-1)

               (x + 2) • (x - 1)  = 0

Hope this Helps!!!!

Answer:

Step-by-step explanation:

Known:

What to find = x

Exterior angle = 142

Right angle = 90

Unknown:

what unknown value is = ?

Interior angle = ?

1. Find the angle of the interior angles.

180 - 142 = 38

2. Add the two known angles

38 + 90 = 128

3. Subtract from 180

180 - 128 = 52

Hope this helped,  

Kavitha Banarjee

Answer: 4992

Step-by-step explanation:

same, but whenever it talks about "lenghth and with" it is multiplying

hope this helps :)

Answer:The answer is 10

Step By Step Explination:

from point (0,-7) and (-6,1) it is 10 spaces from eachother in a graph

Answer:

576

Step-by-step explanation:

Answer:

Equation: y=-2,000x+30,000

Slope: Plane is going down at the rate of 2,000 feet per minute

y-intercept: The intal altitude is 30,000 feet in the air

10 minute: 10,000 feet

0 altitude: 15 minutes

Step-by-step explanation:

Answer:

The answer is 95

Step-by-step explanation:

hope that helps

123-(18)-6+(-4)

123-18=105-6=99-4=95

Answer:

Function A is linear and function B in linear since it is in the equation y=mx+b

Step-by-step explanation:

Hope this helps :)

Answer:

Is D

Step-by-step explanation:

Function A does not follow Pattern and Function B does

Answer:

the greatest common factor of 10 and 70 is 10

Answer:

5

Step-by-step explanation:

have a good day

Answer:

slope: 150

y-intercept: 250

y= 150x+250

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 yards is equal to 18 feet

Answer:

She will pay a tax of $9.45

Step-by-step explanation:

The question doesn't seem complete, but since we are given her tax rate, then they would surely ask for the amount of tax she paid. So let's work on this.

We are told that she bought two pairs of shorts and one short goes for $25 each, this implies that she will get the two for:

= $25 × 2

= $50

We are also told that she got four shirts that have an average cost of $19 per shirt. This implies that she will get the four shirt for:

= $19 × 4

= $76

Since she will have to pay a tax of 7.5%, then we will calculate it as:

= 7.5% × ($50 + $76)

= 0.075 × $126

= $9.45

Answer:

A. $9.45

B. Total cost = $135.45

Step-by-step explanation:

PART A: If she buys all of the items, how much sales tax will she have to pay?

The sales tax for Brandi's purchase will be $(insert answer here)

PART B: What is the total cost of her purchase including sales tax?

Brandi will spend $(insert answer here) on her purchases, including sales tax.

A.

Total amount earned = $140

Two pairs of shorts = $25 each

Total cost of 2 shorts = 2 shorts × $25 each

= $50

Four shirts = $19 each

Total cost of 4 shirts = 4 × $19

= $76

Amount of Sales tax = 7.5% of Total cost of 2 shorts + Total cost of 4 shirts

= 7.5% ($50 + $76)

= 0.075 × 126

= $9.45

Total cost = Total cost of 2 shorts + Total cost of 4 shirts + Amount of Sales tax

= $50 + $76 + $9.45

= $135.45

Therefore, she has enough money to buy all the items she likes

Answer:

Step-by-step explanation:

C

Answer:

43 is your answer......