Which measures are the sides lengths of a right triangle?
1 answer:
You might be interested in
Vertical angles are angles which are <u>opposite</u> to each other and have <u>equal</u> measures. With respect to the given proof, <em>Angie</em> completed the proof <em>incorrectly</em>.
<em>Two</em> angles are said to be <u>vertical</u> when they are <em>opposite</em> to one another and have <em>equal</em> measures. However, two angles are <u>supplementary</u> if they <u>add</u> <u>up</u> to 180°.
So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:
1. Segment GH intersects segment AB at K (1. Given)
2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)
m∠GKB + m∠HKB = 180° (2. Definition of Supplementary Angles)
3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB (3. Substitution Property)
4. m∠AKG = m∠HKB (4. Subtraction Property)
Note:
- Step 2 should be Angle Addition Postulate, since:
m∠AKG + m∠GKB = 180°
m∠GKB + m∠HKB = 180°
So that;
m∠AKG + m∠GKB = m∠GKB + m∠HKB
<u>Subtract</u> m∠GKB from both sides to have;
m∠AKG = m∠HKB (which is the proof for step 4)
Therefore, <u>Angie</u> completed the poof <em>incorrectly</em> because of the properties of steps 2 and 4.
A diagram is herewith attached for more clarifications.
Visit: brainly.com/question/24529637
Answer:
The discontinuity is x = 4
There no holes
The equation of the vertical asymptote is x = 4
The x intercept is 2
The equation of the horizontal asymptote is y = 1
Step-by-step explanation:
* Lets explain the problem
∵
- To find the point of discontinuity put the denominator = 0 and find
the value of x
∵ The denominator is x - 4
∵ x - 4 = 0 ⇒ add 4 to both sides
∴ x = 4
* The discontinuity is x = 4
- A hole occurs when a number is both a zero of the numerator
and denominator
∵ The numerator is x - 2
∵ x - 2 = 0 ⇒ add 2 to both sides
∴ x = 2
∵ The denominator is x - 4
∵ x - 4 = 0 ⇒ add 4 to both sides
∴ x = 4
∵ There is no common number makes the numerator and denominator
equal to 0
∴ There no holes
- Vertical asymptotes are vertical lines which correspond to the zeroes
of the denominator of the function
∵ The zero of the denominator is x = 4
∴ The equation of the vertical asymptote is x = 4
- x- intercept is the values of x which make f(x) = 0, means the
intersection points between the graph and the x-axis
∵ f(x) = 0
∴ ⇒ by using cross multiplication
∴ x - 2 = 0 ⇒ add 2 to both sides
∴ x = 2
* The x intercept is 2
- If the highest power of the numerator = the highest power of the
denominator, then the equation of the horizontal asymptote is
y = The leading coeff. of numerator/leading coeff. of denominator
∵ The numerator is x - 2
∵ The denominator is x - 4
∵ The leading coefficient of the numerator is 1
∵ The leading coefficient of the denominator is 1
∴ y = 1/1 = 1
* The equation of the horizontal asymptote is y = 1
