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DIA [1.3K]
3 years ago
6

Show that the two shorter sides in triangle A have the same length as the two shorter sides in triangle B

Mathematics
1 answer:
wolverine [178]3 years ago
6 0

Answer:

Step-by-step explanation:

a). Let the unknown side of triangle A = x cm

And unknown side of triangle B = y cm

By applying Pythagoras theorem in triangle A,

13² = 12² + x²

x² = 169 - 144

x² = 25 ⇒ x = 5 cm

By applying Pythagoras theorem in triangle B,

y² = 5² + 12²

y² = 25 + 144

y = √169

y = 13 cm

Therefore, smaller sides of these triangles measure 5 cm and 12 cm and they are same in measure.

b). Since, corresponding sides of both the triangles are congruent,

By SSS property of congruence, both the triangles will be congruent.

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Amy wants to estimate 11% of $9.11. what is a good estimate of the answer
arsen [322]
Amy can estimate with 10% instead, so she can just simply move the decimal point of $9.11 to the right, and so it will be estimated to more than 91 cents.
3 0
3 years ago
Gavin borrowed $250 from his parents to buy a new mp3 player. Each week he pays his parents back $10. The function, m(w) = 250 –
Kryger [21]

Answer:

m=25

Step-by-step explanation:

You want to divide 250 by 10 to find the number of weeks it would take him to pay back his parents. which would be 25. It would take Gavin 25 weeks to pay his parents back. m(w)=0 just is telling you the worth of that part of the equation.

7 0
3 years ago
Rotate the figure 90 degrees about vertex A.
ziro4ka [17]

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

5 0
3 years ago
Hakim saves money for one year to buy a computer.
elena55 [62]

Answer:

$111

Step-by-step explanation:

First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.

Let's first compute for how much Hakim will have in total in the bank.

A = P(1 + rt)

P = 700 Initial Investment

r = 5% or 0.05 Interest

t = 1 Year

A = 700(1 + (0.05 x 1))

A = 700(1 + 0.05)

A = 700(1.05)

A = 735

So now we know that Hakim has a total of $735 in his bank account.

Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.

So first we find the discounted price.

x = 750

d = 20% or 0.20

Discount = 750 x 0.20

Discount = 150

Now that we have the discount of the computer, we then simply subtract the discount to the initial price.

750 - 150 = 600.

The computer will then cost $600 with the discounted price.

Now we have to find the sales tax.

Sales Tax = 4% or 0.04

Total Discounted Price = 600

600 x 0.04 = $24

Now that we have the sales tax, we simply add the sales tax to the discounted price.

600 + 24 = 624.

Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.

735 - 624 = 111

Hakim will have a total of $111 in his bank account after purchasing the computer.

4 0
3 years ago
Two fathers and two sons go fishing together in the same boat. They all catch a fish but the total catch for the day is three fi
liraira [26]

Answer:

The were was a man his son and his grandson

Step-by-step explanation:


5 0
3 years ago
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