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2 years ago

If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

8 0

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

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Sarafina and Katie have between $105 and $420 dollars to spend on jewelry for Christmas presents for their friends. If they buy

algol13

Answer:

Step-by-step explanation:

105+420=525 (Total Money)

7x3.25=22.75 (Cost of all bracelets)

8x11.74=93.92 (Cost of all necklaces)

93.92+22.75=116.67 (Cost of all Christmas presents)

525-116.67=408.33 (Total money - Cost of all Christmas presents)

408.33/6.15=66.39... (Amount of necklaces)

since in real life you can only buy a whole number of things, you would round down 66.39 to 66. I hope this helped!

5 0

2 years ago

A mistake was made in the steps shown to simplify the expression. Which step includes the mistake?

kolezko [41]

Step 2 how did the 8 get there?

6 0

2 years ago

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic

denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

Learn more about this concept here:

brainly.com/question/11702700

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3 0

1 year ago

The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ

Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to $5C_{5}(0.55)^{5} (1-0.55)^{0}$

=1(0.0503) $(0.45)^{0}$

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

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6 0

6 months ago

Ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5

barxatty [35]

Answer:

2.5

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic:

ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5

4 0

2 years ago