MATHEMATICS MIDDLE SCHOOL

Given figure ABCD ~ figure WXYZ, what is the value of k? m In quadrilateral ABCD, the length of segment CD is two and three-tenths meters and the length of segment BC is four and two-tenths meters. In quadrilateral WXYZ, the length of segment YZ is unknown and represented by variable k, and the length of segment XY is eight and four-tenths meters.

Answers

Answer 1

Answer:

You can use ratio and proportion in this problem.

Segment DC / Segment CB = Segment ZY / Segment YX

2.3m / 4.2m = k / 8.4m

K = 8.4 (2.3 / 4.2)

K = 23/5 or 4.6 m

Answer= 4.6 m

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A bank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $2,170.00. How much was loaned at each rate?$ ______was loaned at 10% and
$______ was loaned at 14%.

Answers

Answer:

$7 000 was loaned at 10 % and

$10 500 was loaned at 14 %

Step-by-step explanation:

Let x = amount loaned at 10 %

Then 17 500 - x = amount loaned at 14 %

0.10x = interest on 10 % loan

0.14(17 500 - x) = interest on 14 % loan

2170.00 = total interest

$\begin{array}{rcl}0.10x + 0.14(17 500 - x) & = & 2170.00\n0.10x + 2450 - 0.14x & = & 2170.00\n2450 - 0.04x & = & 2170.00\n-0.04x & = & -280\n\nx & = & (-280)/(-0.04)\n\nx & = & \mathbf{7000}\n\n\end{array}$

$7000 was loaned at 10 % and

$10 500 was loaned at 14 %

Check:

\ $\begin{array}{rcl}0.10* 7000 + 0.14(17 500 - 7000) & = & 2170\n700 + 0.14(10 500) & = & 2170\n700 + 1470 & = & 2170\n2170 & = & 2170\n\end{array}$

OK.

Use signed numbers to solve. A helicopter descended 1200 feet, rose 800 feet, and then descended 450 feet. What was the net gain or loss in altitude? A. lost 2450 ft B. lost 850 ft C. gained 850 ft D. gained 2450 ft

Answers

B. Lost 850 ft
800-450= 350
1200-350=850

I hope I helped :D

Jasmine is a real estate agent. She earns a base salary of $1,500 per month plus a commission of 2.75% of her sales. Last month her sales totaled $540,000. What were her total earnings last month?

Answers

Answer:

$ 16350

Step-by-step explanation:

base salary of 1500 per month plus a 2.75% commission

total earnings last month are :

1500 + 0.0275(540,000) =

1500 + 14850 =

$ 16,350 <===== hmm..I would love to make that in 1 month

(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)The older square-shaped floppy diskettes measured 5 inches on each side. What was the diagonal length of a diskette?

A. √ 50 in.
B. √ 55 in.
C. √ 51 in.
D. √ 58 in.

Answers

Step-by-step explanation:

Since, diskette is of square shape.

Therefore, length of diagonal of a square shaped diskette is given as:

$length \: of \: diagonal \: of \: diskette \n = √(2) * side \: of \: diskette \n = √(2) * 5 \n = 5 √(2) \n = \sqrt{ {5}^(2) * 2 } \n = √(25 * 2) \n = √(50) \: inches$