MATHEMATICS HIGH SCHOOL

30 POINTS!!!The Pythagorean theorem is used to prove that a triangle is an _____ triangle.

A. Right
B. Isosceles
C. Equilateral
D. Acute

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

A. Right Triangle

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Drag an answer to each box to complete this paragraph proof.Given: Triangle ABC

Prove: m∠A=72°

Answers

Answer:

Step-by-step explanation:

By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property

(6x)° + 90° + (x+6)° = 180°

To solve for x, first combine the terms to get (7x + 96) = 180°

Using the Subtraction property of equality,

7x = 84.

Then using the division property of equality x = 12.

To find the measure of angle A,

Use the subtraction property to get m∠A = 6(12)°.

Finally simplifying the expression gets m∠A = 72°.

which algebraic expression has a term with. a coefficient of 9. A. 9x/6. B. 6x-9. C. 6+x-9. D. 6(x+5)

Answers

Answer:

(9x)/(6).

Step-by-step explanation:

Given : Algebraic expressions.

To find : Which algebraic expression has a term with. a coefficient of 9.

Solution : We have given algebraic expressions.

Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Example : 4x² + 3x + 2 = 0

Here, 4 is coefficient of x² , 3 is coefficient of x .

Then we can see 9 is coefficient of (9x)/(6).

Therefore, (9x)/(6).
The first term A. "9x/6" has a coefficient of 9. A coefficient is the number in front of the variable in an expression.

I hope this was helpful.

In two or more complete sentences, explain the theorem used in solving for the range of possible lengths of the third side, AB of triangle ABC

Answers

Answer:


Step-by-step explanation:

In triangle if two sides are known and included angle is known we can use cosine formula as follows:

Say in a triangle, sides a,b are known and also included angle C

Then the third side

c^(2) =a^(2)+b^(2) -2abCos C

Since all values on right side are known, we can find the third side c easily.

Case II:

If alternately two sides and one angle not included is known. i.e we know a,b and either angle A or B.

then to find third side we use sine formula.

(a)/(sinA)=(b)/(sinB) =(c)/(sinC)

Using the above we can find the unknonwn side c easily.
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
 a² = b²+c²
 As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
 b = √(a²-c²) b = √(10²-4²) b = 9.16
 With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

Order the periods of time from least to greatest.1% of an hour 2/3 of a minute 0.0004 of a day

Answers

The order from least to greatest would be 2/3 of a minute .0004 of a day and one percent of an hour.

Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour?

Answers

(22 (1)/(2) \ mi)/( (1)/(3) \ h)=((45)/(2) \ mi)/((1)/(3) \ h)=(45)/(2) * 3 \ (mi)/(h)=(135)/(2) \ (mi)/(h)=\boxed{67 (1)/(2) \ (mi)/(h)}

His average speed is 67.5 mph.

Answer:

The answer would be 67 and 1/2

Step-by-step explanation: I really hope this helps:)

Which expressions have a product of 3.68? Select all that apply.A.
0
.
46
×
8
B.
4
.
6
×
8
C.
0
.
46
×
0
.
8
D.
4
.
6
×
0
.
8
E.
0
.
46
×
0
.
08

Answers

The product of 3.68 can be obtained from the following expressions:

B. 4.6 × 8      D. 4.6 × 0.8

How to determine the expressions of a product?

Let's calculate the products and see which expressions result in a product of 3.68.

B. 4.6 × 8 = 36.8

D. 4.6 × 0.8 = 3.68

They are explained below:

Option B (4.6 × 8) results in a product of 36.8, which is not equal to 3.68.

Option D (4.6 × 0.8) results in a product of 3.68, which matches the desired value.

Therefore, the expressions that have a product of 3.68 are option D: 4.6 × 0.8.

Learn more about expressions of a product on:

brainly.com/question/1852123

#SPJ3

Answer:

The answer is C I think

Step-by-step explanation:

Sorry if i am wrong
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