Determine whether the measures for the figure shown are proportional.
a. the length of a side and the perimeter
b. the length of a side and the area

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Answer:

16. 2/3, 4/6, 16,24

17. 3/7, 30/70, 300,700

18. 5/8 15/24, 10/16

Step-by-step explanation:

All you do is either multiply or divide quotient/denominator by the same number as denominator/quotient

Answer:

6 minutes is the most reasonable time to crawl 65 inches.

Answer:

13

Step-by-step explanation:

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

Answer:

There are six equal surfaces of a cube. Then,

384 / 6 = 64 sq in (the area of one surface)

The area of one surface of a cube will be equal to x*x (if we let the edge length be x)

x^2 = 64

x = 8 inch

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

Answer:

The answer is x=16 so whatever the equations should look like it should be this:

Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

Answer:

26

Step-by-step explanation:

Solve 9x-1 = 41-5x

9x-1 = 41-5x

   +1   +1

9x = 42-5x

+5x      +5x

14x = 42

/14     /14

x = 3

Plug in X for EF

41-5(3)

41-15

=26

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

Answer:

Step-by-step explanation:

300t=280(t+2)

300t=280t+560

20t=560

t=28

Answer: 30 mins.

Step-by-step explanation:

The mode is the value that appears the most times.

In such a situation, first order the numbers in an ascending order:

15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45

As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.

Step-by-step explanation:

Are the roots equal or unequal

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

Answer:

0

Step-by-step explanation: i did the lesson

Answer:

Step-by-step explanation:

y = 4x^2 - 1

Is a Polynomial equation of degree 2.

Also called a quadratic equation.

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation: