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andre [41]
3 years ago
11

Determine whether the triangles are congruent. Explain your reasoning .

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

The triangles are congruent by congruency theorem SAS.

Step-by-step explanation:

Side-Angle-Side, as it suggests, is when a triangle is congruent by the order of congruent side, congruent angle, and another congruent side. If named certain ways, they can be congruent. Since the question does not provide a specific way of naming the triangles, we can assume that any way is allowed. 2.5 and 2.5 are congruent, followed by angles D and G which have the congruent angle markers. The congruent angles are followed by 1.7 and 1.7, making the triangles congruent by Side-Angle-Side.

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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
What is the derivative of x^3
wolverine [178]
The derivative here is what you get when you bring the exponent down as the coefficient (i.e. the 3) and subtract the exponent by 1. In this case, the answer will be 3x^2.
8 0
3 years ago
Choose the correct solution and graph for the inequality-5y<_-15
swat32

For this case we have the following inequality:

-5y \leq-15

To solve, we follow the steps below:

We divide between 5 on both sides of the inequality:

-y \leq \frac {-15} {5}\\-y \leq-3

We multiply by -1 on both sides taking into account that the sense of inequality changes:

y \geq3

Thus, the solution is given by all values of "y" greater than or equal to 3.

Answer:

y \geq3

See attached image

The vertical axis represents the "y" axis

4 0
3 years ago
Use properties or mental math to solve 5x395
shepuryov [24]

Answer:

I got 1,475

Step-by-step explanation:

3 0
3 years ago
What would D,E, I need help with these questions
Ilia_Sergeevich [38]

Answer:

D - 43°

E - 43°

Step-by-step explanation:

In squares all sides are equal, which means one of these angles are given and neither one leave the square, so 43° would be the degree of each angle inside this square.

:•D

5 0
3 years ago
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