The length of the hypotenuse = √(-3^2 +1^2) = √10
The point -3,1 tell us the length of y is 1 and the length of x is 3.
This would make opposite = 1 and adjacent = -3
Sinθ = opposite/hypotenuse = 1/√10 = √10/10
Cosθ = adjacent/hypotenuse = -3/√10 = - 3√10/10
Tanθ = opposite/adjacent = 1/-3 = -1/3
3:2
3x - first number
2x - second number
2x = 24 / : 2
x = 12
3*12 = 36
answer: the larger number is 36.
Answer:
<u>Radius: 12 units </u>
- Area: πr² = 3.14*12² = 452.16 square units
<u>Diameter: 16.8 units</u>
- Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units
<u>Radius: 3.4 units</u>
- Area: πr² = 3.14*3.4² = 452.16 square units
<u>Diameter: 10 units</u>
- Area: πd²/4 = 3.14*10²/4 = 78.5 square units
Answer:
they are equal
Step-by-step explanation:
3/4 can be converted it 6/8 by multiplying both denominator and nominator by two
<u>Congruency</u> property relates to two or more <em>triangles</em> with similar <em>dimensions</em>, and internal<u> angles</u>. So that the required <u>statements</u> to complete the proof are:
1. <em>definition</em> of a <u>straight</u> angle.
2. <u>subtraction</u> property of equality
3. <em>corresponding</em> sides of <u>similar</u> triangles are <u>proportional</u>
4.<u> transitive</u> property of <em>equality</em>.
The <u>intersection</u> of two or more lines forms a number of <em>angles</em> which depends on the <u>number</u> of lines involved. These <u>angles</u> formed may have <em>similar</em> or<em> different </em>properties.
When two or more <u>triangles</u> have <em>similar</em> lengths of <u>sides</u> and measure internal <u>angles</u>, it can be said that they are congruent. Thus they have some <u>common</u> properties.
Therefore, the appropriate <u>statements</u> to answer the given <em>question </em>are stated below:
- <em>Definition</em> of a <u>straight</u> angle.
- <u>Subtraction</u> property of equality.
- <em>Corresponding</em> sides of <u>similar</u> triangles are <u>proportional.</u>
- <u>Transitive</u> property of <em>equality</em>.
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/15835221
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