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3 years ago

Read this statement: “If a triangle is isosceles, then it is equilateral.” What is the converse of the statement?

2 answers:

8 0

From the above statement that “If a triangle is isosceles, then it is equilateral" the only thing i can conclude is If a triangle is equilateral, then it is isosceles.

mart [117]3 years ago

7 0

Answer: If a triangle is equilateral, then it is isosceles.

Step-by-step explanation:

The converse of a conditional statement "if p then q " is written as " if q then p".

i.e. The hypothesis (p) and conclusion (q) in the conditional statement interchange their position to make its converse.

The given conditional statement : If a triangle is isosceles, then it is equilateral.

Here , p= a triangle is isosceles

q= it is equilateral

Then the converse of this statement will be:

If a triangle is equilateral, then it is isosceles.

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3 years ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

From Simple Interest method

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

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Step-by-step explanation:

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3 years ago

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A target with a diameter of 14cm has 4 scoring zones by concentric circles. The diameter of the center circle is 2 cm. The width

Leni [432]

Answer:

$48.98\%$

Step-by-step explanation:

we know that

The probability that it will hit a point in the outer (yellow) ring is equal to divide the area of the yellow ring by the total area of the target

step 1

Find the area of the yellow ring

$A=\pi [7^{2} -5^{2}]$

$A=24\pi\ cm^{2}$

step 2

Find the total area of the target

$A=\pi [7^{2}]$

$A=49\pi\ cm^{2}$

step 3

Find the probability

$24\pi/49\pi=0.4898$

Convert to percentage

$0.4898*100=48.98\%$

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3 years ago

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