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3 years ago

PLEASE HELP. question is in the photo. it needs the statements and reasons

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Proof:

Given ΔGWN is an equilateral triangle.

WS ≅ WI

∠SWG ≅ ∠IWN

To prove: ΔSWG ≅ ΔIWN

In ΔSWG and ΔIWN,

WS ≅ WI (given sides)

∠SWG ≅ ∠IWN (given angles)

WG ≅ WN (Equal sides of ΔGWN)

Therefore by Side-Angle-Side(SAS) congruence rule,

ΔSWG ≅ ΔIWN

Hence proved.

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Buses to exeter leave a bus station every 20 minutes.Buses to Plymouth leave the bus station every 16 minutes A bus to exeter an

Eva8 [605]

9:20 am
Lcm is 80 so 80 minutes after 8 am is 9:20

6 0

3 years ago

If 6a=5b, what are the following ratios? a+b/b

lidiya [134]

Our Equation is

$6a=5b$

which means

$a = 5b/6$

Now we have to find this ration

$\frac{a+b}{b}$

Inserting value of a into this equation

$=\frac{\frac{5b}{6}+b}{b}$

$=\frac{\frac{11b}{6}}{b}$

$=\frac{11b}{6b}$

$=\frac{11}{6}$

4 0

3 years ago

Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco

HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

For the considered case, we're given that:

Initial amount Laura deposited = $5,500 = P
Type of interest: Compound interest
Unit of time: Annually
Rate of interest = 1.6% annually = R
Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

$A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)$

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

5 0

2 years ago

A triangular window has base eight feet and height six feet. What is its area?

kari74 [83]

Answer:

24 ft^2

Step-by-step explanation:

Area of a triangle

A = 1/2 b*h

We know the base is 8 ft and the height is 6 ft

A = 1/2 (8) (6)

= 1/2 (48)

= 24 ft^2

8 0

2 years ago

Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25 at another store he can

natita [175]

Answer: the number of tiles will be 49

Step-by-step explanation:

Let x represent the number of tiles that Joshua can buy at either stores.

one store for $0.99 per tile but he he will have to rent a tile saw for $25. Let the total cost of buying x tiles in this store be y. Therefore

y = 0.99x + 25

At another store, he can buy a tile for $1.50 per tile and borrow a tile saw for free. Let the total cost of buying x tiles in this store be z. Therefore

z = 1.5x

To determine the number of tiles for which both costs will be the same, we will equate y to z. It becomes

0.99x + 25 = 1.5x

1.5x - 0.99x = 25

0.51x = 25

x = 25/0.51

x = 49

3 0

3 years ago

PLEASE HELP. question is in the photo. it needs the statements and reasons​

PLEASE HELP. question is in the photo. it needs the statements and reasons