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3 years ago

Hello friends what does congruent mean

Mathematics

2 answers:

astra-53 [7]3 years ago

6 0

Congruent basically means "same"

So for instance, two segments are congruent we say they are the same length

Two angles are congruent they are the same measure (eg: both 20 degrees)

Saying two triangles are congruent means they are the same figure (one may be a rotation of the other, or a reflection, or translation)

And so on...

Aloiza [94]3 years ago

4 0

Congruent definition in math : Identical in form

Congruent in general: in agreement or harmony

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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300

Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, $H_0$ : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, $H_1$ : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

$\hat p$ = percentage of residents who favor construction in a sample of

1300 voters = 0.57

n = sample of voters = 1300

So, Test statistics = $\frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }$

= 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0

4 years ago

Which Expression represents the following algebraic statement?

harkovskaia [24]

Answer:

7(x+5)-(2xy^2)

that's how you would write the equation

4 0

3 years ago

Explain the graphing directions for the rules given below (x, y) = (x + 6, y – 3)

zaharov [31]

Since both terms are perfect cubes, factor using the difference of cubes formula,
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where
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and
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Multiply the exponents in
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.

6 0

3 years ago

Which biconditional is NOT a good definition

ZanzabumX [31]

The answer is: [C]: Two angles form [a] linear pair if and only if the angles are adjacent.
_____________________________
{Your answer choice is correct! Good job!}.
_______________________________________
Explanation:
__________________
Consider the answer choice given in: "Answer choice: [C]" :
_______________________
"Two angles form linear pair if and only if the angles are adjacent."
_____________________________
Then, consider the following:
__________________
1) "Two angles that are supplementary form a linear pair."
Is this true? Yes, but not always. (In other words, "sometimes"). A "linear pair" of angles IS supplementary (by definition); however, NOT ALL supplementary pairs of angles are linear angles. Supplementary pairs of angles must ALSO be ADJACENT in order to be "linear angles" as well.
2) "Two angles that are vertical are adjacent." Is this true? No; this is NEVER true
_____________
As such, this biconditional is NOT a good definition; and by examining all the other answer choices given, we see that this answer choice "C" is correct.
__________________
Consider the other answer choices given:
_________________________________________
Answer choice: [A]: "Two angles are supplementary if and only if the sum of their angles measures 180." ;
 is INCORRECT because it is a good definition:
1) If 2 angles are supplementary, then the sum of their measures is 180 degrees.
2) If the sum of the measures of two angles is 180 degrees, then the angles are supplementary.
___________________________________
Answer choice: [B]: "Two angles are vertical angles only if they are not adjacent to each other and are formed by two intersecting lines.";
is INCORRECT because it is a good definition:
1) If two angles are vertical, then they are nonadjacent angles formed by two intersecting lines.
 2) If two angles are nonadjacent angles formed by two intersecting lines, then the angles are vertical angles.
_____________________________________
Answer choice: [D]: "The sum of two angles is 90 if and only if those angles are complementary" ;
is INCORRECT because it is a good definition:
1) If two angles are complementary, then the sum of their measures is 90 degrees.
 2) f the sum of [the measures of] two angles is 90 degrees, then the angles are complementary.
_______________________________________________

7 0

4 years ago

Read 2 more answers

Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° tria

Marianna [84]

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Proof:

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem,

Since a=b in an isosceles triangle:

Therefore, the next step is to Determine the principal square root of both sides of the equation.

3 0

4 years ago